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

Time bar (total: 15.3s)

analyze0.0ms (0%)

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 13 to 9 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-add: 0.0ms (0% of total)
ival-cos: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)

sample1.3s (8.3%)

Results
970.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 648.0ms
ival-sin: 232.0ms (35.8% of total)
ival-cos: 198.0ms (30.5% of total)
ival-mult: 156.0ms (24.1% of total)
ival-add: 51.0ms (7.9% of total)
const: 8.0ms (1.2% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess44.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
164×unsub-neg
162×associate-*r*
148×associate-*l*
136×distribute-lft-neg-in
108×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

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

explain98.0ms (0.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 x (sin.f64 y))
00-0-(cos.f64 y)
00-0-z
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 z (cos.f64 y))
00-0-(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Results
62.0ms512×0valid
Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-sin: 13.0ms (36.5% of total)
ival-cos: 11.0ms (30.9% of total)
ival-mult: 8.0ms (22.5% of total)
ival-add: 3.0ms (8.4% of total)
const: 1.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

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)

localize56.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
11124
01123
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
x
(sin y)
y
(* z (cos y))
z
(cos y)
Outputs
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)
y
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)
Results
33.0ms256×0valid
Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sin: 8.0ms (38.7% of total)
ival-mult: 6.0ms (29% of total)
ival-cos: 5.0ms (24.2% of total)
ival-add: 1.0ms (4.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

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

27 calls:

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

rewrite828.0ms (5.4%)

Algorithm
1×batch-egg-rewrite
Rules
11256×accelerator-lowering-fma.f32
11256×accelerator-lowering-fma.f64
4178×*-lowering-*.f32
4178×*-lowering-*.f64
3938×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
12421
218021
3185321
0821120
Stop Event
1×iter limit
1×node limit
Counts
5 → 176
Calls
Call 1
Inputs
(* z (cos y))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(cos y)
(sin y)
Outputs
(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 #s(literal 0 binary64) (*.f64 z (cos.f64 y))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y))))
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y))))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (cos.f64 y))))
(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))))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(+.f64 (/.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (sin.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 z (cos.f64 y))))
(-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (+.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (+.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (+.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (+.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (+.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)) (+.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
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(*.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))))
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 9 binary64))) (+.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) (*.f64 z (*.f64 x (sin.f64 y)))) #s(literal 3 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (+.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (+.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64))) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (-.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) #s(literal 2 binary64)))) (-.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (+.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (*.f64 z (cos.f64 y)) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 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 z (*.f64 x (sin.f64 y)))) #s(literal 3 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (*.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (+.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 4 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))))
(cos.f64 y)
(sin.f64 y)

simplify802.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
11480×accelerator-lowering-fma.f32
11480×accelerator-lowering-fma.f64
4328×*-lowering-*.f32
4328×*-lowering-*.f64
2178×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109682
1344678
2984668
32645662
44661662
56968662
08005606
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* 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))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* z (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)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
Outputs
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64)))))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64))))))))))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (+.f64 x (*.f64 (*.f64 y (*.f64 y x)) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
z
(+ z (* x y))
(+.f64 z (*.f64 y x))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y y)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y #s(literal 1/24 binary64))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64)))))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64)))))))))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)

eval76.0ms (0.5%)

Compiler

Compiled 10253 to 4319 computations (57.9% saved)

prune42.0ms (0.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New27014284
Fresh000
Picked011
Done000
Total27015285
Accuracy
99.9%
Counts
285 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.9%
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
52.8%
(fma.f64 (*.f64 x (*.f64 x (sin.f64 y))) (/.f64 (sin.f64 y) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
▶99.8%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
▶42.3%
(/.f64 (-.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
59.5%
(+.f64 (*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (*.f64 z (cos.f64 y)))
✓99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
▶77.9%
(+.f64 (*.f64 x (sin.f64 y)) z)
▶54.4%
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
54.6%
(+.f64 z (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
55.5%
(+.f64 z (*.f64 y x))
42.3%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))
60.2%
(*.f64 z (cos.f64 y))
40.7%
(*.f64 x (sin.f64 y))
▶39.9%
z
Compiler

Compiled 588 to 386 computations (34.4% saved)

localize1.5s (9.9%)

Algorithm
1×egg-herbie
Localize:

Found 30 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
✓cost-diff0
(*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
✓cost-diff6528
(-.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))
✓cost-diff6528
(/.f64 (-.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
✓cost-diff0
(sin.f64 y)
✓cost-diff0
(*.f64 x (sin.f64 y))
✓cost-diff0
(+.f64 (*.f64 x (sin.f64 y)) z)
✓cost-diff0
(*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))))
✓cost-diff0
(+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))))
✓cost-diff0
(*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))))))
✓cost-diff0
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 z (cos.f64 y))
✓cost-diff0
(sin.f64 y)
✓cost-diff6272
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
✓accuracy95.1%
(-.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))
✓accuracy93.8%
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
✓accuracy75.2%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))
✓accuracy53.7%
(/.f64 (-.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(+.f64 (*.f64 x (sin.f64 y)) z)
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy100.0%
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
✓accuracy99.9%
(*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))))
✓accuracy99.9%
(*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y x) #s(literal -1/6 binary64))))))
✓accuracy98.9%
(*.f64 (*.f64 y x) #s(literal -1/6 binary64))
✓accuracy100.0%
(sin.f64 y)
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.9%
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
✓accuracy99.8%
(*.f64 z (cos.f64 y))
Rules
13466×accelerator-lowering-fma.f32
13466×accelerator-lowering-fma.f64
3972×*-lowering-*.f32
3972×*-lowering-*.f64
2364×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034252
194252
2253252
3656252
41482248
53274246
66975246
08245225
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (sin y) x) (* z (cos y)))
(sin y)
y
x
(* z (cos y))
z
(cos y)
(+ z (* y (+ x (* y (+ (* z -1/2) (* (* y x) -1/6))))))
(* y (+ x (* y (+ (* z -1/2) (* (* y x) -1/6)))))
(+ x (* y (+ (* z -1/2) (* (* y x) -1/6))))
(* y (+ (* z -1/2) (* (* y x) -1/6)))
(+ (* z -1/2) (* (* y x) -1/6))
(* z -1/2)
-1/2
(* (* y x) -1/6)
(* y x)
-1/6
(+ (* x (sin y)) z)
(* x (sin y))
(/ (- (* z (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (- (* z (cos y)) (* x (sin y))))
(- (* z (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (* x (- 1/2 (* 1/2 (cos (* 2 y)))))))
(* z (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
1/2
(* 1/2 (cos (* 2 y)))
(cos (* 2 y))
(* 2 y)
2
(* x (* x (- 1/2 (* 1/2 (cos (* 2 y))))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(- (* z (cos y)) (* x (sin y)))
Outputs
(+ (* (sin y) x) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(sin y)
(sin.f64 y)
y
x
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)
(+ z (* y (+ x (* y (+ (* z -1/2) (* (* y x) -1/6))))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))))))
(* y (+ x (* y (+ (* z -1/2) (* (* y x) -1/6)))))
(*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))))))
(+ x (* y (+ (* z -1/2) (* (* y x) -1/6))))
(+.f64 x (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))))
(* y (+ (* z -1/2) (* (* y x) -1/6)))
(*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))))
(+ (* z -1/2) (* (* y x) -1/6))
(+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))
(* z -1/2)
(*.f64 z #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* (* y x) -1/6)
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* y x)
(*.f64 y x)
-1/6
#s(literal -1/6 binary64)
(+ (* x (sin y)) z)
(+.f64 z (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(/ (- (* z (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (- (* z (cos y)) (* x (sin y))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x x) (+.f64 (*.f64 z z) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 x x) (*.f64 z z)))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))
(- (* z (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (* x (- 1/2 (* 1/2 (cos (* 2 y)))))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x x) (+.f64 (*.f64 z z) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 x x) (*.f64 z z))))))
(* z (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(+ 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 y)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* x (* x (- 1/2 (* 1/2 (cos (* 2 y))))))
(*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
(- (* z (cos y)) (* x (sin y)))
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
Results
189.0ms121×0valid
285.0ms104×1valid
167.0ms31×2valid
Compiler

Compiled 279 to 152 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 562.0ms
ival-mult: 237.0ms (42.2% of total)
ival-cos: 188.0ms (33.4% of total)
backward-pass: 52.0ms (9.3% of total)
ival-add: 35.0ms (6.2% of total)
ival-sub: 19.0ms (3.4% of total)
ival-sin: 11.0ms (2% of total)
const: 9.0ms (1.6% of total)
<compiled-spec>: 7.0ms (1.2% of total)
ival-div: 4.0ms (0.7% of total)

series60.0ms (0.4%)

Counts
17 → 468
Calls
Call 1
Inputs
#<alt (* z (cos y))>
#<alt (+ (* (sin y) x) (* z (cos y)))>
#<alt (cos y)>
#<alt (sin y)>
#<alt (* (* y x) -1/6)>
#<alt (* y (+ x (* y (+ (* z -1/2) (* (* y x) -1/6)))))>
#<alt (* y (+ (* z -1/2) (* (* y x) -1/6)))>
#<alt (+ z (* y (+ x (* y (+ (* z -1/2) (* (* y x) -1/6))))))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) z)>
#<alt (/ (- (* z (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (- (* z (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (* x (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (+ x (* y (+ (* z -1/2) (* (* y x) -1/6))))>
#<alt (* z (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
Outputs
#<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 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 1>
#<alt (+ 1 (* -1/2 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt (cos y)>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/2 (* y z))))>
#<alt (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))>
#<alt (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (* y (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (* y (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (* y (+ 1 (* -1/6 (pow y 2))))))>
#<alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* x (+ (* 1/2 (/ (* (pow y 2) z) x)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* x (+ (* 1/2 (/ (* (pow y 2) z) x)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* x (+ (* 1/2 (/ (* (pow y 2) z) x)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* y (+ x (* -1/6 (* x (pow y 2))))))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* y (+ x (* -1/6 (* x (pow y 2))))))>
#<alt (+ (* -1/2 (* (pow y 2) z)) (* y (+ x (* -1/6 (* x (pow y 2))))))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* z (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))>
#<alt (* z (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))>
#<alt (* z (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))>
#<alt (* -1/2 (* (pow y 2) z))>
#<alt (* -1 (* z (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2)))))>
#<alt (* -1 (* z (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2)))))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (* -1/6 (* x y))))>
#<alt (* y (+ (* -1/2 z) (* -1/6 (* x y))))>
#<alt (* y (+ (* -1/2 z) (* -1/6 (* x y))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (* -1/6 (/ (* x (pow y 2)) z))))>
#<alt (* z (+ (* -1/2 y) (* -1/6 (/ (* x (pow y 2)) z))))>
#<alt (* z (+ (* -1/2 y) (* -1/6 (/ (* x (pow y 2)) z))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* 1/6 (/ (* x (pow y 2)) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* 1/6 (/ (* x (pow y 2)) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* 1/6 (/ (* x (pow y 2)) z)) (* 1/2 y))))>
#<alt (* -1/2 (* y z))>
#<alt (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* x (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))>
#<alt (* x (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))>
#<alt (* x (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1 (* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x)))))>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (+ (* y (+ x (* -1/6 (* x (pow y 2))))) (* z (+ 1 (* -1/2 (pow y 2)))))>
#<alt (* z (+ 1 (* -1/2 (pow y 2))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))>
#<alt (* z (+ 1 (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z))))>
#<alt (* -1 (* z (- (* 1/2 (pow y 2)) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<alt (* -1 (* z (- (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2))) 1)))>
#<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 (* -1/6 (* x (pow y 3)))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))>
#<alt (* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (+ (/ x (pow y 2)) (/ z (pow y 3))))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 x) (* -1 (/ z y))) y)) (* -1/2 z)) y)) (* 1/6 x))))>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (+ z (+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2)))))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))>
#<alt (* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (+ (* y (+ 1 (* -1/6 (pow y 2)))) (/ z x))))>
#<alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ z (* -1/2 (* (pow y 2) z))) x)) (* y (- (* 1/6 (pow y 2)) 1)))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt z>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (+ (sin y) (/ z x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ z x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/6 (* x (pow y 2))))))>
#<alt (+ z (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (* x (sin y))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt (+ z (* x (sin y)))>
#<alt z>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt (* z (+ 1 (/ (* x (sin y)) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (sin y)) z)) 1)))>
#<alt (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y))>
#<alt (+ (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (/ (* z (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y)))))) (pow (sin y) 2)))>
#<alt (+ (* z (- (* z (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (+ (* z (- (* z (- (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (/ (* z (* (cos y) (- (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3))))))) (* x (sin y)))) (* -1 (/ (* (pow (cos y) 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* x (pow (sin y) 3)))))) (* -1 (/ (* (cos y) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow (sin y) 2))))) (/ (* x (- 1/2 (* 1/2 (cos (* 2 y))))) (sin y)))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* z (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (* 1/2 (/ 1 (cos y))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (* z (- (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (* (pow z 2) (cos y)))) (+ (* 1/2 (/ (cos (* 2 y)) (cos y))) (+ (* 1/2 (/ 1 (cos y))) (/ (* x (* (sin y) (- (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3)))))) (* (pow z 3) (cos y)))))) (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* (pow z 2) (pow (cos y) 3)))))))>
#<alt (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* z (pow (cos y) 2)))) (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ 1/2 (* 1/2 (cos (* 2 y)))) (cos y))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (* (sin y) (- (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y)) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))))) (* z (cos y))) (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (cos y))) (/ (* (pow x 2) (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 3))) z)) (* -1 (/ (* x (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y)))))) (pow (cos y) 2)))) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (- (* y (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))>
#<alt (+ z (* y (- (* y (- (+ (* -1 z) (* -1 (* y (+ (* -1 (/ (* x (- (* -1 z) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) z)) (+ (* -1/2 x) (* 1/6 x)))))) (+ (* -1 (/ (pow x 2) z)) (+ (* -1/2 z) (/ (pow x 2) z))))) (* -1 x))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (/ (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y)))))) (- (* z (cos y)) (* x (sin 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)) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* x (- (* x (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (+ (* x (- (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (/ (* x (* (sin y) (- (* 1/2 (/ (cos (* 2 y)) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y)))))))) (* z (cos y)))) (+ (* -1 (/ (* (pow (sin y) 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* z (pow (cos y) 3)))) (* 1/2 (/ 1 (* z (cos y))))))) (* -1 (/ (* (sin y) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow (cos y) 2))))) (/ (* z (+ 1/2 (* 1/2 (cos (* 2 y))))) (cos y)))>
#<alt (* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))>
#<alt (* x (+ (* -1 (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y)))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))>
#<alt (* x (- (+ (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (sin y)))) (+ (* -1 (/ (- (* 1/2 (cos (* 2 y))) 1/2) (sin y))) (/ (* z (* (cos y) (- (* -1 (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3))))) (* (pow x 3) (sin y))))) (+ (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2))) (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (* (pow x 2) (pow (sin y) 3))))))>
#<alt (* -1 (/ (* x (- (* 1/2 (cos (* 2 y))) 1/2)) (sin y)))>
#<alt (* -1 (* x (- (+ (* 1/2 (/ (cos (* 2 y)) (sin y))) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (* x (pow (sin y) 2)))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* z (* (cos y) (- (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y)) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))))) (* x (sin y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (sin y))) (* -1 (/ (* (pow z 2) (* (pow (cos y) 2) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 3)))) x)) (/ (* z (* (cos y) (- (* 1/2 (cos (* 2 y))) 1/2))) (pow (sin y) 2))) x)) (* 1/2 (/ (cos (* 2 y)) (sin y)))) (* 1/2 (/ 1 (sin y))))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -1/3 (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))>
#<alt (* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))>
#<alt (* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))>
#<alt (* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* -1 (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (+ (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))) (pow z 2))) (* 1/2 (cos (* 2 y))))))>
#<alt (pow z 2)>
#<alt (+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2))>
#<alt (+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))>
#<alt (+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (+ (* 1/3 (pow z 2)) (* (pow y 2) (- (* -2/45 (pow z 2)) (* 2/45 (pow x 2))))) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (- (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (* (pow x 2) (- 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (+ (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)) (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))))>
#<alt (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y))))) (pow x 2))) 1/2))>
#<alt (* -1/2 (* y z))>
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (+ (* -1/2 (* y z)) (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))>
#<alt (* x (+ 1 (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2)))))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x))) 1)))>
#<alt x>
#<alt (+ x (* -1/2 (* y z)))>
#<alt (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))>
#<alt (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* 1/2 z)) y)) (* -1/6 x)))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))>
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))>
#<alt (+ x (+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2)))))>
#<alt (* -1/2 (* y z))>
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* z (+ (* -1/2 y) (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))>
#<alt (* -1/2 (* y z))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (pow z 2)>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2))>
#<alt (+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2))>
#<alt (+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt z>
#<alt (+ z (* -1 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
Calls

117 calls:

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

rewrite799.0ms (5.2%)

Algorithm
1×batch-egg-rewrite
Rules
6014×accelerator-lowering-fma.f32
6014×accelerator-lowering-fma.f64
5104×*-lowering-*.f32
5104×*-lowering-*.f64
4656×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034162
1204132
21862132
08500121
Stop Event
1×iter limit
1×node limit
Counts
17 → 663
Calls
Call 1
Inputs
(* z (cos y))
(+ (* (sin y) x) (* z (cos y)))
(cos y)
(sin y)
(* (* y x) -1/6)
(* y (+ x (* y (+ (* z -1/2) (* (* y x) -1/6)))))
(* y (+ (* z -1/2) (* (* y x) -1/6)))
(+ z (* y (+ x (* y (+ (* z -1/2) (* (* y x) -1/6))))))
(* x (sin y))
(+ (* x (sin y)) z)
(/ (- (* z (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (- (* z (cos y)) (* x (sin y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(- (* z (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))) (* x (* x (- 1/2 (* 1/2 (cos (* 2 y)))))))
(+ x (* y (+ (* z -1/2) (* (* y x) -1/6))))
(* z (* z (+ 1/2 (* 1/2 (cos (* 2 y))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
Outputs
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))
(+.f64 (/.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) #s(literal -1 binary64)))
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(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) z)
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64))))))))) (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))))
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simplify759.0ms (5%)

Algorithm
1×egg-herbie
Rules
9136×accelerator-lowering-fma.f32
9136×accelerator-lowering-fma.f64
6886×*-lowering-*.f32
6886×*-lowering-*.f64
3110×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05876985
120186769
273436762
081586203
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
Calls
Call 1
Inputs
(* 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))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* x y)
(* y (+ x (* -1/2 (* y z))))
(* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))
(* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(* -1/6 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(* -1/2 (* (pow y 2) z))
(+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))
(+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))
(+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (* y (+ 1 (* -1/6 (pow y 2))))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (* y (+ 1 (* -1/6 (pow y 2))))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (* y (+ 1 (* -1/6 (pow y 2))))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (+ (* 1/2 (/ (* (pow y 2) z) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (+ (* 1/2 (/ (* (pow y 2) z) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* -1 (* x (+ (* 1/2 (/ (* (pow y 2) z) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(+ (* -1/2 (* (pow y 2) z)) (* y (+ x (* -1/6 (* x (pow y 2))))))
(+ (* -1/2 (* (pow y 2) z)) (* y (+ x (* -1/6 (* x (pow y 2))))))
(+ (* -1/2 (* (pow y 2) z)) (* y (+ x (* -1/6 (* x (pow y 2))))))
(* -1/2 (* (pow y 2) z))
(* z (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))
(* z (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))
(* z (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))
(* -1/2 (* (pow y 2) z))
(* -1 (* z (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2)))))
(* -1 (* z (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2)))))
(* -1 (* z (+ (* -1 (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)) (* 1/2 (pow y 2)))))
(* -1/2 (* y z))
(* y (+ (* -1/2 z) (* -1/6 (* x y))))
(* y (+ (* -1/2 z) (* -1/6 (* x y))))
(* y (+ (* -1/2 z) (* -1/6 (* x y))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* (pow y 2) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(* -1/6 (* x (pow y 2)))
(+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))
(+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))
(+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))
(* -1/2 (* y z))
(* z (+ (* -1/2 y) (* -1/6 (/ (* x (pow y 2)) z))))
(* z (+ (* -1/2 y) (* -1/6 (/ (* x (pow y 2)) z))))
(* z (+ (* -1/2 y) (* -1/6 (/ (* x (pow y 2)) z))))
(* -1/2 (* y z))
(* -1 (* z (+ (* 1/6 (/ (* x (pow y 2)) z)) (* 1/2 y))))
(* -1 (* z (+ (* 1/6 (/ (* x (pow y 2)) z)) (* 1/2 y))))
(* -1 (* z (+ (* 1/6 (/ (* x (pow y 2)) z)) (* 1/2 y))))
(* -1/2 (* y z))
(+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))
(+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))
(+ (* -1/2 (* y z)) (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* x (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))
(* x (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))
(* x (+ (* -1/2 (/ (* y z) x)) (* -1/6 (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* -1 (* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x)))))
(* -1 (* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x)))))
(* -1 (* x (+ (* 1/6 (pow y 2)) (* 1/2 (/ (* y z) x)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
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(* z (+ 1 (* -1/2 (pow y 2))))
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(* -1/2 (* y z))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(pow z 2)
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
z
(+ z (* -1 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
Outputs
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(+ z (* -1/2 (* (pow y 2) z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))
(+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(+ z (* x y))
(+.f64 z (*.f64 y x))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))))))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))))))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))))
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* -1/6 (* x y))
(*.f64 y (*.f64 x #s(literal -1/6 binary64)))
(* x y)
(*.f64 y x)
(* y (+ x (* -1/2 (* y z))))
(*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
(* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))
(*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 x #s(literal -1/6 binary64)))))))
(* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))
(*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 x #s(literal -1/6 binary64)))))))
(* -1/6 (* x (pow y 3)))
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x #s(literal -1/6 binary64)))
(* (pow y 3) (+ (* -1/2 (/ z y)) (* -1/6 x)))
(*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 x #s(literal -1/6 binary64)))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) (+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 x (*.f64 y y)))))
(* (pow y 3) (+ (* -1/2 (/ z y)) (+ (* -1/6 x) (/ x (pow y 2)))))
(*.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) (+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 x (*.f64 y y)))))
(* -1/6 (* x (pow y 3)))
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x #s(literal -1/6 binary64)))
(* -1 (* (pow y 3) (+ (* 1/6 x) (* 1/2 (/ z y)))))
(*.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (*.f64 z #s(literal 1/2 binary64)) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 x y)) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))
(* -1 (* (pow y 3) (+ (* -1 (/ (+ (* -1/2 z) (/ x y)) y)) (* 1/6 x))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (+.f64 (*.f64 z #s(literal -1/2 binary64)) (/.f64 x y)) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))
(* -1/2 (* (pow y 2) z))
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
(+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))
(+.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) (*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))
(+.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) (*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(+ (* -1/2 (* (pow y 2) z)) (* x (* y (+ 1 (* -1/6 (pow y 2))))))
(+.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) (*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (* y (+ 1 (* -1/6 (pow y 2))))))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x)))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (* y (+ 1 (* -1/6 (pow y 2))))))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x)))
(* x (+ (* -1/2 (/ (* (pow y 2) z) x)) (* y (+ 1 (* -1/6 (pow y 2))))))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x)))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))))
(* -1 (* x (+ (* 1/2 (/ (* (pow y 2) z) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) (*.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (/.f64 z x)))))
(* -1 (* x (+ (* 1/2 (/ (* (pow y 2) z) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) (*.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (/.f64 z x)))))
(* -1 (* x (+ (* 1/2 (/ (* (pow y 2) z) x)) (* y (- (* 1/6 (pow y 2)) 1)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))) (*.f64 (*.f64 y (*.f64 y #s(literal 1/2 binary64))) (/.f64 z x)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(+ (* -1/2 (* (pow y 2) z)) (* y (+ x (* -1/6 (* x (pow y 2))))))
(+.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) (*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(+ (* -1/2 (* (pow y 2) z)) (* y (+ x (* -1/6 (* x (pow y 2))))))
(+.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) (*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(+ (* -1/2 (* (pow y 2) z)) (* y (+ x (* -1/6 (* x (pow y 2))))))
(+.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) (*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(* -1/2 (* (pow y 2) z))
(*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64))))
(* z (+ (* -1/2 (pow y 2)) (/ (* y (+ x (* -1/6 (* x (pow y 2))))) z)))
(*.f64 z (+.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) z)))
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(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) z))))
(* -1 (* z (+ (* -1 (/ (+ x (* -1/6 (* x (pow y 2)))) z)) (* 1/2 y))))
(*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) z))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 z z))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2))
(+.f64 (*.f64 z z) (*.f64 (*.f64 y y) (*.f64 (*.f64 z z) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) #s(literal 1/3 binary64))))))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2))
(+.f64 (*.f64 z z) (*.f64 (*.f64 y y) (-.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 z z) (+.f64 (*.f64 (*.f64 y y) #s(literal -2/45 binary64)) #s(literal 1/3 binary64))))) (*.f64 z z))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
z
(+ z (* -1 (* (pow y 2) z)))
(-.f64 z (*.f64 z (*.f64 y y)))
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) #s(literal 1/3 binary64))))))
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))
(+.f64 z (*.f64 y (*.f64 y (-.f64 (*.f64 (*.f64 y y) (*.f64 z (+.f64 (*.f64 (*.f64 y y) #s(literal -2/45 binary64)) #s(literal 1/3 binary64)))) z))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))

eval962.0ms (6.3%)

Compiler

Compiled 51330 to 28154 computations (45.2% saved)

prune173.0ms (1.1%)

Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New1195271222
Fresh639
Picked325
Done011
Total1204331237
Accuracy
100.0%
Counts
1237 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.3%
(fma.f64 (/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (-.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))) (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))
70.1%
(fma.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (/.f64 z (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))
51.9%
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
▶42.3%
(/.f64 (-.f64 (*.f64 z (+.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 z #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
42.3%
(/.f64 (-.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
48.5%
(/.f64 (-.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
30.1%
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
25.6%
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
▶99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
47.5%
(+.f64 (*.f64 (*.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y)))
54.3%
(+.f64 (*.f64 y (+.f64 x (*.f64 y (*.f64 y (+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/5040 binary64))) (*.f64 x #s(literal 1/120 binary64))))))))) z)
▶55.5%
(+.f64 (*.f64 y x) z)
54.3%
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))) z)
▶54.5%
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) z)
✓99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
✓77.9%
(+.f64 (*.f64 x (sin.f64 y)) z)
23.8%
(+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y))))) y) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) x)))))
38.2%
(+.f64 z (*.f64 y (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y))) (*.f64 x x)) (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) x))))
54.5%
(+.f64 z (*.f64 y (+.f64 x (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64))))))
38.6%
(+.f64 z (*.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
92.8%
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y)) x) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (cos.f64 y))) (-.f64 #s(literal 0 binary64) z))
2.9%
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x #s(literal -1/6 binary64)))
18.3%
(*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
60.0%
(*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (cos.f64 y)))
71.1%
(*.f64 z (+.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 1 binary64)))
92.7%
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y))) (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))
93.1%
(*.f64 z (+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))))
38.5%
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
▶60.2%
(*.f64 z (cos.f64 y))
2.8%
(*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 x #s(literal -1/6 binary64)))))
48.0%
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (+.f64 (/.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x) (/.f64 z x))))
40.7%
(*.f64 x (sin.f64 y))
✓39.9%
z
Compiler

Compiled 1711 to 1163 computations (32% saved)

localize1.6s (10.2%)

Algorithm
1×egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 z #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/2 binary64)))
✓cost-diff128
(*.f64 z (+.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 z #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/2 binary64))))
✓cost-diff6656
(-.f64 (*.f64 z (+.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 z #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))
✓cost-diff6656
(/.f64 (-.f64 (*.f64 z (+.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 z #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 z (cos.f64 y))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
✓cost-diff0
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
✓cost-diff0
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))
✓cost-diff0
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) z)
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(+.f64 (*.f64 y x) z)
✓cost-diff0
(*.f64 z (cos.f64 y))
✓cost-diff0
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
✓accuracy95.1%
(-.f64 (*.f64 z (+.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 z #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))))
✓accuracy93.8%
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
✓accuracy75.2%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))
✓accuracy53.7%
(/.f64 (-.f64 (*.f64 z (+.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 z #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.8%
(*.f64 z (cos.f64 y))
✓accuracy99.9%
(*.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
✓accuracy99.8%
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
✓accuracy99.7%
(*.f64 y (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
✓accuracy99.2%
(*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))))
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(+.f64 (*.f64 y x) z)
✓accuracy99.8%
(*.f64 (sin.f64 y) x)
✓accuracy99.8%
(*.f64 z (cos.f64 y))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
Rules
12410×accelerator-lowering-fma.f32
12410×accelerator-lowering-fma.f64
3792×*-lowering-*.f32
3792×*-lowering-*.f64
1742×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042312
1117312
2300306
3876306
42192302
54569300
67947300
08255275
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x))))
1
(/ 1 (+ (* z (cos y)) (* (sin y) x)))
(+ (* z (cos y)) (* (sin y) x))
(* z (cos y))
z
(cos y)
y
(* (sin y) x)
(sin y)
x
(+ (* y x) z)
(* y x)
(+ (* x (* y (+ 1 (* y (* y (+ -1/6 (* (* y y) 1/120))))))) z)
(* x (* y (+ 1 (* y (* y (+ -1/6 (* (* y y) 1/120)))))))
(* y (+ 1 (* y (* y (+ -1/6 (* (* y y) 1/120))))))
(+ 1 (* y (* y (+ -1/6 (* (* y y) 1/120)))))
(* y (* y (+ -1/6 (* (* y y) 1/120))))
(* y (+ -1/6 (* (* y y) 1/120)))
(+ -1/6 (* (* y y) 1/120))
-1/6
(* (* y y) 1/120)
(* y y)
1/120
(/ (- (* z (+ (* (cos (* y 2)) (* z 1/2)) (* z 1/2))) (* x (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (- (* z (cos y)) (* x (sin y))))
(- (* z (+ (* (cos (* y 2)) (* z 1/2)) (* z 1/2))) (* x (* x (- 1/2 (* 1/2 (cos (* 2 y)))))))
(* z (+ (* (cos (* y 2)) (* z 1/2)) (* z 1/2)))
(+ (* (cos (* y 2)) (* z 1/2)) (* z 1/2))
(* (cos (* y 2)) (* z 1/2))
(cos (* y 2))
(* y 2)
2
(* z 1/2)
1/2
(* x (* x (- 1/2 (* 1/2 (cos (* 2 y))))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(* 1/2 (cos (* 2 y)))
(cos (* 2 y))
(* 2 y)
(- (* z (cos y)) (* x (sin y)))
(* x (sin y))
Outputs
(/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x))))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
1
#s(literal 1 binary64)
(/ 1 (+ (* z (cos y)) (* (sin y) x)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))
(+ (* z (cos y)) (* (sin y) x))
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(* z (cos y))
(*.f64 z (cos.f64 y))
z
(cos y)
(cos.f64 y)
y
(* (sin y) x)
(*.f64 (sin.f64 y) x)
(sin y)
(sin.f64 y)
x
(+ (* y x) z)
(+.f64 z (*.f64 y x))
(* y x)
(*.f64 y x)
(+ (* x (* y (+ 1 (* y (* y (+ -1/6 (* (* y y) 1/120))))))) z)
(+.f64 z (*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(* x (* y (+ 1 (* y (* y (+ -1/6 (* (* y y) 1/120)))))))
(*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(* y (+ 1 (* y (* y (+ -1/6 (* (* y y) 1/120))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(+ 1 (* y (* y (+ -1/6 (* (* y y) 1/120)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))
(* y (* y (+ -1/6 (* (* y y) 1/120))))
(*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(* y (+ -1/6 (* (* y y) 1/120)))
(*.f64 y (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(+ -1/6 (* (* y y) 1/120))
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))
-1/6
#s(literal -1/6 binary64)
(* (* y y) 1/120)
(*.f64 (*.f64 y y) #s(literal 1/120 binary64))
(* y y)
(*.f64 y y)
1/120
#s(literal 1/120 binary64)
(/ (- (* z (+ (* (cos (* y 2)) (* z 1/2)) (* z 1/2))) (* x (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (- (* z (cos y)) (* x (sin y))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (+.f64 (*.f64 z z) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 x x) (*.f64 z z)))))) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))
(- (* z (+ (* (cos (* y 2)) (* z 1/2)) (* z 1/2))) (* x (* x (- 1/2 (* 1/2 (cos (* 2 y)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 x x) (*.f64 z z)))))
(* z (+ (* (cos (* y 2)) (* z 1/2)) (* z 1/2)))
(*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(+ (* (cos (* y 2)) (* z 1/2)) (* z 1/2))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(* (cos (* y 2)) (* z 1/2))
(*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 z #s(literal 1/2 binary64)))
(cos (* y 2))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(* y 2)
(*.f64 y #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* z 1/2)
(*.f64 z #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* x (* x (- 1/2 (* 1/2 (cos (* 2 y))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(* 1/2 (cos (* 2 y)))
(*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(cos (* 2 y))
(cos.f64 (*.f64 y #s(literal 2 binary64)))
(* 2 y)
(*.f64 y #s(literal 2 binary64))
(- (* z (cos y)) (* x (sin y)))
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
Results
226.0ms121×0valid
300.0ms104×1valid
154.0ms31×2valid
Compiler

Compiled 354 to 188 computations (46.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 541.0ms
ival-mult: 219.0ms (40.5% of total)
ival-cos: 176.0ms (32.5% of total)
ival-add: 51.0ms (9.4% of total)
backward-pass: 48.0ms (8.9% of total)
ival-sub: 16.0ms (3% of total)
const: 11.0ms (2% of total)
ival-div: 11.0ms (2% of total)
ival-sin: 9.0ms (1.7% of total)

series60.0ms (0.4%)

Counts
21 → 504
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x))))>
#<alt (/ 1 (+ (* z (cos y)) (* (sin y) x)))>
#<alt (* z (cos y))>
#<alt (* (sin y) x)>
#<alt (+ (* y x) z)>
#<alt (* y x)>
#<alt (* x (* y (+ 1 (* y (* y (+ -1/6 (* (* y y) 1/120)))))))>
#<alt (* y (+ -1/6 (* (* y y) 1/120)))>
#<alt (* (* y y) 1/120)>
#<alt (* y (* y (+ -1/6 (* (* y y) 1/120))))>
#<alt (cos y)>
#<alt (/ (- (* z (+ (* (cos (* y 2)) (* z 1/2)) (* z 1/2))) (* x (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (- (* z (cos y)) (* x (sin y))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 y))))>
#<alt (* x (- 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (- (* z (+ (* (cos (* y 2)) (* z 1/2)) (* z 1/2))) (* x (* x (- 1/2 (* 1/2 (cos (* 2 y)))))))>
#<alt (+ (* z (cos y)) (* (sin y) x))>
#<alt (+ (* x (* y (+ 1 (* y (* y (+ -1/6 (* (* y y) 1/120))))))) z)>
#<alt (* y (+ 1 (* y (* y (+ -1/6 (* (* y y) 1/120))))))>
#<alt (+ 1 (* y (* y (+ -1/6 (* (* y y) 1/120)))))>
#<alt (* z (+ (* (cos (* y 2)) (* z 1/2)) (* z 1/2)))>
#<alt (+ (* (cos (* y 2)) (* z 1/2)) (* z 1/2))>
Outputs
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (/ 1 (* x (sin y)))>
#<alt (+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))>
#<alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))>
#<alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))>
#<alt (/ 1 (* z (cos y)))>
#<alt (/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)>
#<alt (/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)>
#<alt (/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)>
#<alt (/ 1 (* z (cos y)))>
#<alt (* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))>
#<alt (+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (+ (* x (sin y)) (* z (cos y))))>
#<alt (/ 1 (* z (cos y)))>
#<alt (+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))>
#<alt (+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))>
#<alt (/ 1 (* x (sin y)))>
#<alt (/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)>
#<alt (/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)>
#<alt (/ 1 (* x (sin y)))>
#<alt (* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt z>
#<alt (+ z (* -1/2 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* z (cos y))>
#<alt (* x 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 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))>
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#<alt (+ (* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))) (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2)))>
#<alt (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 1/2 (cos (* 2 y))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))) (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (+ (* 1/2 (cos (* 2 y))) (/ (* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))) (pow x 2))) 1/2))>
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))>
#<alt z>
#<alt (+ z (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))>
#<alt (+ z (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))>
#<alt (+ z (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* x (+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (/ z x)))>
#<alt (* x (+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (/ z x)))>
#<alt (* x (+ (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (/ z x)))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (* -1 (* x (+ (* -1 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) (* -1 (/ z x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/6 (* x (pow y 2))))))>
#<alt (+ z (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))>
#<alt (* 1/120 (* x (pow y 5)))>
#<alt (* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (+ (/ x (pow y 4)) (/ z (pow y 5))))))>
#<alt (* 1/120 (* x (pow y 5)))>
#<alt (* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))))>
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1 (/ z (pow y 5))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))))>
#<alt (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))>
#<alt (+ z (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))>
#<alt (+ z (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))>
#<alt (+ z (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))>
#<alt z>
#<alt (* z (+ 1 (/ (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) z)))>
#<alt (* z (+ 1 (/ (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) z)))>
#<alt (* z (+ 1 (/ (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) z)) 1)))>
#<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) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* 1/120 (pow y 5))>
#<alt (* (pow y 5) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 5))>
#<alt (* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) 1/120)))>
#<alt (* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))>
#<alt (* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 4))>
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* -1 (* (pow z 2) (- (* -1/2 (cos (* 2 y))) 1/2)))>
#<alt (* -1 (* (pow z 2) (- (* -1/2 (cos (* 2 y))) 1/2)))>
#<alt (* -1 (* (pow z 2) (- (* -1/2 (cos (* 2 y))) 1/2)))>
#<alt (* -1 (* (pow z 2) (- (* -1/2 (cos (* 2 y))) 1/2)))>
#<alt (pow z 2)>
#<alt (+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2))>
#<alt (+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2))>
#<alt (+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2))>
#<alt (* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y))))))>
#<alt (* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y))))))>
#<alt (* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y))))))>
#<alt (* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y))))))>
#<alt (* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y))))))>
#<alt (* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y))))))>
#<alt (* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y))))))>
#<alt (* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y))))))>
#<alt z>
#<alt (+ z (* -1 (* (pow y 2) z)))>
#<alt (+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))>
#<alt (+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))>
#<alt (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))>
#<alt (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))>
#<alt (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))>
#<alt (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))>
#<alt (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))>
#<alt (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))>
#<alt (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))>
#<alt (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* z (+ 1/2 (* 1/2 (cos (* 2 y)))))>
#<alt (* -1 (* z (- (* -1/2 (cos (* 2 y))) 1/2)))>
#<alt (* -1 (* z (- (* -1/2 (cos (* 2 y))) 1/2)))>
#<alt (* -1 (* z (- (* -1/2 (cos (* 2 y))) 1/2)))>
#<alt (* -1 (* z (- (* -1/2 (cos (* 2 y))) 1/2)))>
Calls

126 calls:

TimeVariablePointExpression
11.0ms
x
@0
(* x (* y (+ 1 (* y (* y (+ -1/6 (* (* y y) 1/120)))))))
3.0ms
y
@-inf
(/ (- (* z (+ (* (cos (* y 2)) (* z 1/2)) (* z 1/2))) (* x (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (- (* z (cos y)) (* x (sin y))))
2.0ms
y
@inf
(/ (- (* z (+ (* (cos (* y 2)) (* z 1/2)) (* z 1/2))) (* x (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (- (* z (cos y)) (* x (sin y))))
1.0ms
x
@0
(/ (- (* z (+ (* (cos (* y 2)) (* z 1/2)) (* z 1/2))) (* x (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (- (* z (cos y)) (* x (sin y))))
1.0ms
z
@-inf
(/ (- (* z (+ (* (cos (* y 2)) (* z 1/2)) (* z 1/2))) (* x (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (- (* z (cos y)) (* x (sin y))))

rewrite678.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
5016×*-lowering-*.f32
5016×*-lowering-*.f64
4830×accelerator-lowering-fma.f32
4830×accelerator-lowering-fma.f64
4314×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042236
1256200
22006194
08380179
Stop Event
1×iter limit
1×node limit
Counts
21 → 730
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ (* z (cos y)) (* (sin y) x))))
(/ 1 (+ (* z (cos y)) (* (sin y) x)))
(* z (cos y))
(* (sin y) x)
(+ (* y x) z)
(* y x)
(* x (* y (+ 1 (* y (* y (+ -1/6 (* (* y y) 1/120)))))))
(* y (+ -1/6 (* (* y y) 1/120)))
(* (* y y) 1/120)
(* y (* y (+ -1/6 (* (* y y) 1/120))))
(cos y)
(/ (- (* z (+ (* (cos (* y 2)) (* z 1/2)) (* z 1/2))) (* x (* x (- 1/2 (* 1/2 (cos (* 2 y))))))) (- (* z (cos y)) (* x (sin y))))
(- 1/2 (* 1/2 (cos (* 2 y))))
(* x (- 1/2 (* 1/2 (cos (* 2 y)))))
(- (* z (+ (* (cos (* y 2)) (* z 1/2)) (* z 1/2))) (* x (* x (- 1/2 (* 1/2 (cos (* 2 y)))))))
(+ (* z (cos y)) (* (sin y) x))
(+ (* x (* y (+ 1 (* y (* y (+ -1/6 (* (* y y) 1/120))))))) z)
(* y (+ 1 (* y (* y (+ -1/6 (* (* y y) 1/120))))))
(+ 1 (* y (* y (+ -1/6 (* (* y y) 1/120)))))
(* z (+ (* (cos (* y 2)) (* z 1/2)) (* z 1/2)))
(+ (* (cos (* y 2)) (* z 1/2)) (* z 1/2))
Outputs
(+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(+.f64 (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 z z)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 z z)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 x x)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 z z)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 x x)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y)))))
(fma.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x) (*.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64) (*.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 z z)) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 z z)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 z z)) (*.f64 (*.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) (*.f64 z (cos.f64 y))))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 z z)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 x x))))))
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(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 z #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64))))) (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64))))))) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 z #s(literal 1/2 binary64)))))))))
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(*.f64 #s(literal 1/2 binary64) (+.f64 z (*.f64 z (cos.f64 (*.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 z (cos.f64 (*.f64 y #s(literal 2 binary64)))) z))
(*.f64 (*.f64 z #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))) z)
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 z #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64))))))) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (-.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 z #s(literal 1/2 binary64))))))))
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(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) z) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 z (cos.f64 (*.f64 y #s(literal 2 binary64)))) z)) (-.f64 (*.f64 z (cos.f64 (*.f64 y #s(literal 2 binary64)))) z)))

simplify690.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
8704×accelerator-lowering-fma.f32
8704×accelerator-lowering-fma.f64
7916×*-lowering-*.f32
7916×*-lowering-*.f64
3278×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07247525
124647321
084676857
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
Calls
Call 1
Inputs
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(* z (cos y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
z
(+ z (* x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* z (cos y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(* x (sin y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(* x (sin y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(/ 1 (* x (sin y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(/ 1 (* z (cos y)))
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/ 1 (* z (cos y)))
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(/ 1 z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/ 1 (* z (cos y)))
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y))))
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(/ 1 (* x (sin y)))
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x)
(/ 1 (* x (sin y)))
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x))
(* 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))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
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)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
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(* 1/120 (* x (pow y 5)))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* (pow y 5) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (+ (/ x (pow y 4)) (/ z (pow y 5))))))
(* 1/120 (* x (pow y 5)))
(* -1 (* (pow y 5) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))))
(* -1 (* (pow y 5) (+ (* -1 (/ x (pow y 4))) (+ (* -1 (/ z (pow y 5))) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2))))))))
(* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
(+ z (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
(+ z (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
(+ z (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
z
(* z (+ 1 (/ (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) z)))
(* z (+ 1 (/ (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) z)))
(* z (+ 1 (/ (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) z)))
z
(* -1 (* z (- (* -1 (/ (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) z)) 1)))
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) (- (* 1/120 (pow y 2)) 1/6))))
(* 1/120 (pow y 5))
(* (pow y 5) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 5) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 5))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) 1/120)))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))
(* -1 (* (pow y 5) (- (* 1/6 (/ 1 (pow y 2))) (+ 1/120 (/ 1 (pow y 4))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* (pow z 2) (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* -1 (* (pow z 2) (- (* -1/2 (cos (* 2 y))) 1/2)))
(* -1 (* (pow z 2) (- (* -1/2 (cos (* 2 y))) 1/2)))
(* -1 (* (pow z 2) (- (* -1/2 (cos (* 2 y))) 1/2)))
(* -1 (* (pow z 2) (- (* -1/2 (cos (* 2 y))) 1/2)))
(pow z 2)
(+ (* -1 (* (pow y 2) (pow z 2))) (pow z 2))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* 1/3 (* (pow y 2) (pow z 2))))) (pow z 2))
(+ (* (pow y 2) (+ (* -1 (pow z 2)) (* (pow y 2) (+ (* -2/45 (* (pow y 2) (pow z 2))) (* 1/3 (pow z 2)))))) (pow z 2))
(* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y))))))
(* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y))))))
(* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y))))))
(* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y))))))
(* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y))))))
(* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y))))))
(* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y))))))
(* z (+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y))))))
z
(+ z (* -1 (* (pow y 2) z)))
(+ z (* (pow y 2) (+ (* -1 z) (* 1/3 (* (pow y 2) z)))))
(+ z (* (pow y 2) (+ (* -1 z) (* (pow y 2) (+ (* -2/45 (* (pow y 2) z)) (* 1/3 z))))))
(+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))
(+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))
(+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))
(+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))
(+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))
(+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))
(+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))
(+ (* 1/2 z) (* 1/2 (* z (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* z (+ 1/2 (* 1/2 (cos (* 2 y)))))
(* -1 (* z (- (* -1/2 (cos (* 2 y))) 1/2)))
(* -1 (* z (- (* -1/2 (cos (* 2 y))) 1/2)))
(* -1 (* z (- (* -1/2 (cos (* 2 y))) 1/2)))
(* -1 (* z (- (* -1/2 (cos (* 2 y))) 1/2)))
Outputs
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) z)) (-.f64 #s(literal 0 binary64) z))
z
(+ z (* x y))
(+.f64 z (*.f64 x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 x #s(literal -1/6 binary64))))))))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(*.f64 x (+.f64 (sin.f64 y) (/.f64 (*.f64 z (cos.f64 y)) x)))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (*.f64 z (-.f64 (/.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (/.f64 (cos.f64 y) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (*.f64 z (-.f64 (*.f64 z (+.f64 (/.f64 (/.f64 (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))) (/.f64 (cos.f64 y) (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))))
(/ 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 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))) z)
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))))) (-.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 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 (+.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal -1 binary64) (cos.f64 y))) z))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z))
(-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z)))
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (-.f64 (*.f64 y (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z))))) (/.f64 x (*.f64 z z)))))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))
(+.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y (-.f64 (*.f64 y (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 y (+.f64 (*.f64 (/.f64 x (*.f64 z z)) #s(literal 1/3 binary64)) (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z))))) z)))) (/.f64 (*.f64 x x) (*.f64 z (*.f64 z z))))) (/.f64 x (*.f64 z z)))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/ 1 (+ (* x (sin y)) (* z (cos y))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/ 1 (* z (cos y)))
(/.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))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) (/.f64 (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z)))
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) (*.f64 x (-.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z)))))
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) (*.f64 x (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 z (*.f64 z z)))))) (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 z z)))))
(/ 1 (* x (sin y)))
(/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x)
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x)
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(* -1 (* z (- (* -1/2 (cos (* 2 y))) 1/2)))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(* -1 (* z (- (* -1/2 (cos (* 2 y))) 1/2)))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))
(* -1 (* z (- (* -1/2 (cos (* 2 y))) 1/2)))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))

eval458.0ms (3%)

Compiler

Compiled 50624 to 27689 computations (45.3% saved)

prune253.0ms (1.6%)

Pruning

43 alts after pruning (38 fresh and 5 done)

PrunedKeptTotal
New1285271312
Fresh141125
Picked325
Done033
Total1302431345
Accuracy
100.0%
Counts
1345 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.2%
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 z z)) (-.f64 (*.f64 y x) z))
22.2%
(/.f64 (-.f64 (*.f64 z (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (-.f64 (*.f64 z (cos.f64 (*.f64 y #s(literal 2 binary64)))) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) (-.f64 (*.f64 z (cos.f64 (*.f64 y #s(literal 2 binary64)))) z))))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
42.3%
(/.f64 (-.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 z (cos.f64 (*.f64 y #s(literal 2 binary64)))) z))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
25.6%
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x) (sin.f64 y))
60.0%
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
53.1%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
34.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x))
55.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
▶60.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
40.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
39.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
34.0%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
53.0%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
54.5%
(+.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) x) z)
54.3%
(+.f64 (*.f64 y (+.f64 x (*.f64 y (*.f64 y (+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/5040 binary64))) (*.f64 x #s(literal 1/120 binary64))))))))) z)
✓55.5%
(+.f64 (*.f64 y x) z)
47.7%
(+.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y))) (/.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
54.3%
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))) z)
54.4%
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) z)
✓99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
✓77.9%
(+.f64 (*.f64 x (sin.f64 y)) z)
23.8%
(+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y))))) y) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) x)))))
▶38.5%
(+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))))
38.4%
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 (*.f64 y (*.f64 y #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
38.2%
(+.f64 z (*.f64 y (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y))) (*.f64 x x)) (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) x))))
38.6%
(+.f64 z (*.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
21.9%
(*.f64 (+.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
38.5%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
2.9%
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x #s(literal -1/6 binary64)))
▶18.3%
(*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
71.1%
(*.f64 z (+.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 1 binary64)))
▶93.2%
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
53.2%
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
38.3%
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 y (*.f64 y #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
✓60.2%
(*.f64 z (cos.f64 y))
44.2%
(*.f64 y (+.f64 x (/.f64 z y)))
18.6%
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x))
2.8%
(*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 x #s(literal -1/6 binary64)))))
48.0%
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (+.f64 (/.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x) (/.f64 z x))))
49.2%
(*.f64 x (+.f64 y (/.f64 z x)))
40.7%
(*.f64 x (sin.f64 y))
▶18.6%
(*.f64 x y)
✓39.9%
z
Compiler

Compiled 1716 to 1141 computations (33.5% saved)

localize788.0ms (5.1%)

Algorithm
1×egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(*.f64 z (cos.f64 y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
✓cost-diff0
(*.f64 y y)
✓cost-diff128
(+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))
✓cost-diff128
(*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64))))))))
✓cost-diff128
(+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))))
✓cost-diff0
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(/.f64 (*.f64 x (sin.f64 y)) z)
✓cost-diff0
(cos.f64 y)
✓cost-diff0
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
✓cost-diff128
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
✓accuracy100.0%
(cos.f64 y)
✓accuracy99.8%
(*.f64 z (cos.f64 y))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
✓accuracy99.7%
(*.f64 y #s(literal -1/720 binary64))
✓accuracy94.6%
(*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64))))))))
✓accuracy94.5%
(*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))
✓accuracy94.5%
(*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64))))))
✓accuracy100.0%
(*.f64 y x)
✓accuracy99.9%
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
✓accuracy99.5%
(*.f64 y #s(literal -1/6 binary64))
✓accuracy98.1%
(*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z))
✓accuracy99.8%
(*.f64 x (sin.f64 y))
✓accuracy96.1%
(/.f64 (*.f64 x (sin.f64 y)) z)
✓accuracy93.2%
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
Rules
11348×accelerator-lowering-fma.f32
11348×accelerator-lowering-fma.f64
3754×*-lowering-*.f32
3754×*-lowering-*.f64
2028×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033192
191192
2270186
3760182
41937182
53415182
65094182
76031182
87180182
97449182
107531182
08048168
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* z (+ (cos y) (/ (* x (sin y)) z)))
z
(+ (cos y) (/ (* x (sin y)) z))
(cos y)
y
(/ (* x (sin y)) z)
(* x (sin y))
x
(sin y)
(* x y)
(* (* y x) (+ 1 (* y (* y -1/6))))
(* y x)
(+ 1 (* y (* y -1/6)))
1
(* y (* y -1/6))
(* y -1/6)
-1/6
(+ z (* (* y y) (+ (* z -1/2) (* (* y y) (* z (+ 1/24 (* y (* y -1/720))))))))
(* (* y y) (+ (* z -1/2) (* (* y y) (* z (+ 1/24 (* y (* y -1/720)))))))
(* y y)
(+ (* z -1/2) (* (* y y) (* z (+ 1/24 (* y (* y -1/720))))))
(* z -1/2)
-1/2
(* (* y y) (* z (+ 1/24 (* y (* y -1/720)))))
(* z (+ 1/24 (* y (* y -1/720))))
(+ 1/24 (* y (* y -1/720)))
1/24
(* y (* y -1/720))
(* y -1/720)
-1/720
(/ 1 (/ 1 (* z (cos y))))
(/ 1 (* z (cos y)))
(* z (cos y))
Outputs
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
z
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z)))
(cos y)
(cos.f64 y)
y
(/ (* x (sin y)) z)
(*.f64 x (/.f64 (sin.f64 y) z))
(* x (sin y))
(*.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)
(* x y)
(*.f64 y x)
(* (* y x) (+ 1 (* y (* y -1/6))))
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(* y x)
(*.f64 y x)
(+ 1 (* y (* y -1/6)))
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
1
#s(literal 1 binary64)
(* y (* y -1/6))
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
(* y -1/6)
(*.f64 y #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(+ z (* (* y y) (+ (* z -1/2) (* (* y y) (* z (+ 1/24 (* y (* y -1/720))))))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64))))))))))
(* (* y y) (+ (* z -1/2) (* (* y y) (* z (+ 1/24 (* y (* y -1/720)))))))
(*.f64 (*.f64 z (*.f64 y y)) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))
(* y y)
(*.f64 y y)
(+ (* z -1/2) (* (* y y) (* z (+ 1/24 (* y (* y -1/720))))))
(*.f64 z (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))
(* z -1/2)
(*.f64 z #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* (* y y) (* z (+ 1/24 (* y (* y -1/720)))))
(*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))) (*.f64 z (*.f64 y y)))
(* z (+ 1/24 (* y (* y -1/720))))
(*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))
(+ 1/24 (* y (* y -1/720)))
(+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64))))
1/24
#s(literal 1/24 binary64)
(* y (* y -1/720))
(*.f64 y (*.f64 y #s(literal -1/720 binary64)))
(* y -1/720)
(*.f64 y #s(literal -1/720 binary64))
-1/720
#s(literal -1/720 binary64)
(/ 1 (/ 1 (* z (cos y))))
(*.f64 z (cos.f64 y))
(/ 1 (* z (cos y)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y))
(* z (cos y))
(*.f64 z (cos.f64 y))
Results
170.0ms256×0valid
Compiler

Compiled 211 to 100 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-mult: 79.0ms (62.8% of total)
ival-add: 20.0ms (15.9% of total)
ival-cos: 9.0ms (7.2% of total)
ival-div: 7.0ms (5.6% of total)
ival-sin: 7.0ms (5.6% of total)
const: 4.0ms (3.2% of total)
backward-pass: 0.0ms (0% of total)

series54.0ms (0.3%)

Counts
21 → 468
Calls
Call 1
Inputs
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (/ (* x (sin y)) z)>
#<alt (* x (sin y))>
#<alt (+ (cos y) (/ (* x (sin y)) z))>
#<alt (* x y)>
#<alt (* (* y x) (+ 1 (* y (* y -1/6))))>
#<alt (* y -1/6)>
#<alt (* y (* y -1/6))>
#<alt (* y x)>
#<alt (* (* y y) (* z (+ 1/24 (* y (* y -1/720)))))>
#<alt (* z (+ 1/24 (* y (* y -1/720))))>
#<alt (* (* y y) (+ (* z -1/2) (* (* y y) (* z (+ 1/24 (* y (* y -1/720)))))))>
#<alt (* y -1/720)>
#<alt (/ 1 (/ 1 (* z (cos y))))>
#<alt (/ 1 (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (cos y)>
#<alt (+ 1 (* y (* y -1/6)))>
#<alt (+ z (* (* y y) (+ (* z -1/2) (* (* y y) (* z (+ 1/24 (* y (* y -1/720))))))))>
#<alt (+ (* z -1/2) (* (* y y) (* z (+ 1/24 (* y (* y -1/720))))))>
#<alt (* y y)>
Outputs
#<alt (* x (sin y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* z (cos y))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* y (+ x (* -1/2 (* y z)))))>
#<alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (+ (cos y) (/ (* x (sin y)) z)))>
#<alt (* z (cos y))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (+ (* x (sin y)) (* z (cos y)))>
#<alt (* x (sin y))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (+ (sin y) (/ (* z (cos y)) x)))>
#<alt (* x (sin y))>
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#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))>
#<alt (* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))))>
#<alt (* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))))>
#<alt (* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))))>
#<alt (* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))))>
#<alt (* -1/2 z)>
#<alt (+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))>
#<alt (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))>
#<alt (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))>
#<alt (* -1/720 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* -1/720 (* (pow y 4) z))>
#<alt (* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
Calls

117 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
(/ (* x (sin y)) z)
2.0ms
y
@0
(/ 1 (* z (cos y)))
1.0ms
z
@0
(* (* y y) (* z (+ 1/24 (* y (* y -1/720)))))
1.0ms
x
@0
(* (* y x) (+ 1 (* y (* y -1/6))))
1.0ms
y
@-inf
(* z (+ (cos y) (/ (* x (sin y)) z)))

rewrite896.0ms (5.8%)

Algorithm
1×batch-egg-rewrite
Rules
9776×accelerator-lowering-fma.f32
9776×accelerator-lowering-fma.f64
4884×*-lowering-*.f32
4884×*-lowering-*.f64
3466×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033167
1176167
21461165
08681152
Stop Event
1×iter limit
1×node limit
Counts
21 → 667
Calls
Call 1
Inputs
(* z (+ (cos y) (/ (* x (sin y)) z)))
(/ (* x (sin y)) z)
(* x (sin y))
(+ (cos y) (/ (* x (sin y)) z))
(* x y)
(* (* y x) (+ 1 (* y (* y -1/6))))
(* y -1/6)
(* y (* y -1/6))
(* y x)
(* (* y y) (* z (+ 1/24 (* y (* y -1/720)))))
(* z (+ 1/24 (* y (* y -1/720))))
(* (* y y) (+ (* z -1/2) (* (* y y) (* z (+ 1/24 (* y (* y -1/720)))))))
(* y -1/720)
(/ 1 (/ 1 (* z (cos y))))
(/ 1 (* z (cos y)))
(* z (cos y))
(cos y)
(+ 1 (* y (* y -1/6)))
(+ z (* (* y y) (+ (* z -1/2) (* (* y y) (* z (+ 1/24 (* y (* y -1/720))))))))
(+ (* z -1/2) (* (* y y) (* z (+ 1/24 (* y (* y -1/720))))))
(* y 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 x (sin.f64 y)) (*.f64 (cos.f64 y) (-.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 z (/.f64 x (/.f64 z (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 z (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 x (sin.f64 y)))
(fma.f64 z (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 x (*.f64 (/.f64 (sin.f64 y) z) z) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 x (/.f64 z (sin.f64 y))) z (*.f64 z (cos.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 z (cos.f64 y)) #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (-.f64 #s(literal 0 binary64) z)) (*.f64 x (sin.f64 y)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (cos.f64 y) (-.f64 #s(literal 0 binary64) z)) #s(literal 1 binary64)) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64) (*.f64 x (sin.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1/2 binary64)) (*.f64 x (sin.f64 y)))
(fma.f64 (*.f64 z x) (/.f64 (sin.f64 y) z) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 z (*.f64 x (sin.f64 y))) (/.f64 #s(literal 1 binary64) z) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y)))) (/.f64 #s(literal -1 binary64) z) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (*.f64 x (sin.f64 y)) z) (/.f64 #s(literal 1 binary64) z) (*.f64 z (cos.f64 y)))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) z) (/.f64 #s(literal -1 binary64) z) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) z (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) #s(literal -1 binary64)) z (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (*.f64 x (sin.f64 y)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (/.f64 z z) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 z z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) (*.f64 z (cos.f64 y)))
(fma.f64 (/.f64 z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sin.f64 y)))) (*.f64 z (cos.f64 y)))
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))) (-.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 (/.f64 x (/.f64 z (sin.f64 y))) (cos.f64 y)) (/.f64 (/.f64 z (sin.f64 y)) x))) (*.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 z (sin.f64 y)) x) #s(literal -3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y)))) (*.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (pow.f64 (/.f64 x (/.f64 z (sin.f64 y))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 (/.f64 x (/.f64 z (sin.f64 y))) (cos.f64 y)) (/.f64 (/.f64 z (sin.f64 y)) x))) (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 z (sin.f64 y)) x) #s(literal -3 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y)))) (*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (pow.f64 (/.f64 x (/.f64 z (sin.f64 y))) #s(literal 2 binary64))) z)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 z z) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.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 #s(literal 2 binary64) y))))) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(/.f64 (*.f64 z (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 z (sin.f64 y)) x) #s(literal -3 binary64)))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 (/.f64 x (/.f64 z (sin.f64 y))) (cos.f64 y)) (/.f64 (/.f64 z (sin.f64 y)) x))))
(/.f64 (*.f64 z (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (pow.f64 (/.f64 x (/.f64 z (sin.f64 y))) #s(literal 2 binary64)))) (-.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 z (sin.f64 y)) x) #s(literal -3 binary64))) z) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (-.f64 (/.f64 x (/.f64 z (sin.f64 y))) (cos.f64 y)) (/.f64 (/.f64 z (sin.f64 y)) x))))
(/.f64 (*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (pow.f64 (/.f64 x (/.f64 z (sin.f64 y))) #s(literal 2 binary64))) z) (-.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y)))))
(/.f64 (+.f64 z (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) (*.f64 z (*.f64 x (sin.f64 y))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) z))
(/.f64 (+.f64 (/.f64 (/.f64 z (sin.f64 y)) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) z)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) (/.f64 (/.f64 z (sin.f64 y)) x)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) (*.f64 z (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y)))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (+.f64 z (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) (*.f64 (*.f64 x (sin.f64 y)) z))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) z))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) z))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) z) (*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x (sin.f64 y))))) z)
(/.f64 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (/.f64 (/.f64 z (sin.f64 y)) x)) z) (/.f64 (/.f64 z (sin.f64 y)) x))
(/.f64 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 #s(literal 0 binary64) z)) (*.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y)))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) z) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sin.f64 y)) z))) z)
(/.f64 (+.f64 (*.f64 (*.f64 z (cos.f64 y)) (-.f64 #s(literal 0 binary64) z)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) z))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y))) (*.f64 z (*.f64 x (sin.f64 y))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y))) z))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z (sin.f64 y)) x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y))) z)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y))) (/.f64 (/.f64 z (sin.f64 y)) x)))
(/.f64 (+.f64 z (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y))) (*.f64 z (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y)))))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y))) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y))) (*.f64 (*.f64 x (sin.f64 y)) z))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y))) z))
(/.f64 (+.f64 z (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) z))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y))) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 y) (-.f64 #s(literal 0 binary64) z)) (/.f64 (/.f64 z (sin.f64 y)) x)) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z (sin.f64 y)) x)))
(/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 y) (-.f64 #s(literal 0 binary64) z)) z) (*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 x (sin.f64 y))))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 y) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z)) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y)))))) z)
(/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 y) (-.f64 #s(literal 0 binary64) z)) z) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (sin.f64 y)) z))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 y) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) z)) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) z))) z)
(/.f64 (+.f64 (*.f64 z (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y)))) (*.f64 (/.f64 (/.f64 z (sin.f64 y)) x) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 z (sin.f64 y)) x) (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y)))))
(/.f64 (+.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 z (sin.f64 y)) x) (*.f64 (cos.f64 y) (-.f64 #s(literal 0 binary64) z)))) (*.f64 (/.f64 (/.f64 z (sin.f64 y)) x) #s(literal -1 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 z (*.f64 x (sin.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y))) z) (*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y))))
(/.f64 (+.f64 (*.f64 (*.f64 z (*.f64 x (sin.f64 y))) #s(literal 1 binary64)) (*.f64 z (*.f64 z (cos.f64 y)))) z)
(/.f64 (+.f64 (*.f64 (*.f64 z (*.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y)))) (*.f64 z #s(literal -1 binary64))) (*.f64 z (/.f64 #s(literal -1 binary64) (*.f64 z (cos.f64 y)))))
(/.f64 (+.f64 (*.f64 (*.f64 z (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (*.f64 z (*.f64 (cos.f64 y) (-.f64 #s(literal 0 binary64) z)))) (*.f64 z #s(literal -1 binary64)))
(/.f64 (+.f64 (*.f64 z (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y))) (/.f64 (/.f64 z (sin.f64 y)) x)) (*.f64 (/.f64 (/.f64 z (sin.f64 y)) x) (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y))))
(/.f64 (+.f64 z (*.f64 (/.f64 (/.f64 z (sin.f64 y)) x) (*.f64 z (cos.f64 y)))) (/.f64 (/.f64 z (sin.f64 y)) x))
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(*.f64 (+.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/8 binary64)) (*.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))) (*.f64 y y))) (*.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))) (*.f64 y y))) (*.f64 z (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))) (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))) (*.f64 y y))) (*.f64 z (*.f64 (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))) (*.f64 y y)))) (-.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 z (*.f64 y y))) (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))))
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(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
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(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))

simplify1.0s (6.6%)

Algorithm
1×egg-herbie
Rules
20146×accelerator-lowering-fma.f32
20146×accelerator-lowering-fma.f64
4966×+-lowering-+.f64
4966×+-lowering-+.f32
4364×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02153934
17073822
222783756
347053728
082163456
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
Calls
Call 1
Inputs
(* x (sin y))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
(+ (* x (sin y)) (* z (cos y)))
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(* -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)))))
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(* 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))
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1
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(/ 1 z)
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(* z (cos y))
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1
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(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
(cos y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* z (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1)))
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1)))
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1)))
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1)))
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))))))
(* -1/720 (* (pow y 6) z))
(* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6))))))
(* -1/720 (* (pow y 6) z))
(* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6))))))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* z (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))
(* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))))
(* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))))
(* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))))
(* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))))
(* -1/2 z)
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z)))
(+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))
(+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z))))
(* -1/720 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* -1/720 (* (pow y 4) z))
(* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
Outputs
(* x (sin y))
(*.f64 x (sin.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
z
(+ z (* x y))
(+.f64 z (*.f64 x y))
(+ z (* y (+ x (* -1/2 (* y z)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (*.f64 z #s(literal -1/2 binary64))))))
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y)))))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (-.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) (*.f64 z #s(literal 1/2 binary64)))))))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* z (+ (cos y) (/ (* x (sin y)) z)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* z (cos y))
(*.f64 z (cos.f64 y))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(+ (* x (sin y)) (* z (cos y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* x (+ (sin y) (/ (* z (cos y)) x)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x)))))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 x z)))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))
(*.f64 y (+.f64 (/.f64 x z) (*.f64 (/.f64 (*.f64 x (*.f64 y y)) z) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))))
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)))
(*.f64 y (+.f64 (/.f64 x z) (*.f64 y (*.f64 y (+.f64 (/.f64 (*.f64 x #s(literal -1/6 binary64)) z) (*.f64 (/.f64 (*.f64 x (*.f64 y y)) z) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))))))))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(* 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 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (+.f64 x (*.f64 (*.f64 y y) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (+.f64 x (*.f64 (*.f64 y y) (+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y (*.f64 y (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y 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))
1
#s(literal 1 binary64)
(+ 1 (/ (* x y) z))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z))
(+ 1 (* y (+ (* -1/2 y) (/ x z))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (/.f64 x z) (*.f64 y #s(literal -1/2 binary64)))))
(+ 1 (* y (+ (* y (- (* -1/6 (/ (* x y) z)) 1/2)) (/ x z))))
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 x z)))))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(* x (+ (/ (cos y) x) (/ (sin y) z)))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(* -1 (* x (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) z)))))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(/ (* x (sin y)) z)
(*.f64 (sin.f64 y) (/.f64 x z))
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) z)
(/ (+ (* x (sin y)) (* z (cos y))) z)
(/.f64 (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) z)
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(cos y)
(cos.f64 y)
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(+ (cos y) (/ (* x (sin y)) z))
(+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 x z)))
(* 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)
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* -1/6 (* x (pow y 3)))
(*.f64 x (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(*.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(*.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(*.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
(* -1/6 (* x (pow y 3)))
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(*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 z (*.f64 y y)) (*.f64 y y)))
(* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y)))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(+.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))) (*.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(+.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))) (*.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* -1/720 (* (pow y 4) z))
(*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 z (*.f64 y y)) (*.f64 y y)))
(* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))
(*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y)))))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(+.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))) (*.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))))
(+.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 z (+.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))))) (*.f64 (*.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

eval407.0ms (2.7%)

Compiler

Compiled 29986 to 13946 computations (53.5% saved)

prune226.0ms (1.5%)

Pruning

44 alts after pruning (38 fresh and 6 done)

PrunedKeptTotal
New1162101172
Fresh52833
Picked415
Done055
Total1171441215
Accuracy
100.0%
Counts
1215 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.2%
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 z z)) (-.f64 (*.f64 y x) z))
42.3%
(/.f64 (-.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 z (cos.f64 (*.f64 y #s(literal 2 binary64)))) z))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
25.6%
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x) (sin.f64 y))
60.0%
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
60.0%
(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z))
93.0%
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y))))))
60.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
60.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
55.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
40.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
39.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
34.0%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
54.5%
(+.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) x) z)
54.3%
(+.f64 (*.f64 y (+.f64 x (*.f64 y (*.f64 y (+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/5040 binary64))) (*.f64 x #s(literal 1/120 binary64))))))))) z)
✓55.5%
(+.f64 (*.f64 y x) z)
47.7%
(+.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y))) (/.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
54.3%
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))) z)
54.4%
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) z)
✓99.8%
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
✓77.9%
(+.f64 (*.f64 x (sin.f64 y)) z)
23.8%
(+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y))))) y) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) x)))))
38.4%
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 (*.f64 y (*.f64 y #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
38.4%
(+.f64 z (*.f64 (*.f64 y y) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 z (*.f64 y y)) (*.f64 y y)))))
38.2%
(+.f64 z (*.f64 y (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y))) (*.f64 x x)) (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) x))))
38.6%
(+.f64 z (*.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
21.9%
(*.f64 (+.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
93.1%
(*.f64 (+.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y)))) z)
38.5%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
18.3%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (*.f64 y x))
2.9%
(*.f64 (*.f64 y x) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
93.0%
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y)))))))
71.1%
(*.f64 z (+.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 1 binary64)))
53.2%
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
38.3%
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 y (*.f64 y #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
29.2%
(*.f64 z (*.f64 (sin.f64 y) (/.f64 x z)))
✓60.2%
(*.f64 z (cos.f64 y))
44.2%
(*.f64 y (+.f64 x (/.f64 z y)))
18.6%
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x))
2.8%
(*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 x #s(literal -1/6 binary64)))))
48.0%
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (+.f64 (/.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x) (/.f64 z x))))
49.2%
(*.f64 x (+.f64 y (/.f64 z x)))
40.7%
(*.f64 x (sin.f64 y))
✓18.6%
(*.f64 x y)
✓39.9%
z
Compiler

Compiled 2324 to 1317 computations (43.3% saved)

regimes99.0ms (0.6%)

Counts
79 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 (*.f64 y x) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(+.f64 z (*.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (*.f64 y x))
(+.f64 z (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64))))))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) z)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
(*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 y (*.f64 y #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 (*.f64 y (*.f64 y #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 z (*.f64 y y)) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 z z)) (-.f64 (*.f64 y x) z))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) z)
(+.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) x) z)
(+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (+.f64 (/.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x) (/.f64 z x))))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))) z)
(+.f64 (*.f64 y (+.f64 x (*.f64 y (*.f64 y (+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/5040 binary64))) (*.f64 x #s(literal 1/120 binary64))))))))) z)
(*.f64 (+.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
(+.f64 z (*.f64 y (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y))) (*.f64 x x)) (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) x))))
(+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y))))) y) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) x)))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)
(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z))
(*.f64 z (*.f64 (sin.f64 y) (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
(*.f64 z (+.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 z (+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(*.f64 (+.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y)))) z)
(*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x) (sin.f64 y))
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y)))))))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (*.f64 z z)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 (*.f64 z (cos.f64 y)) (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) x))
(/.f64 (-.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 z (cos.f64 (*.f64 y #s(literal 2 binary64)))) z))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(/.f64 (-.f64 (*.f64 z (+.f64 (*.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 z #s(literal 1/2 binary64))) (*.f64 z #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 x (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(+.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y))) (/.f64 (*.f64 z (*.f64 (cos.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (cos.f64 y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y)))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (sin.f64 y)) x) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (cos.f64 y))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 (*.f64 z (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (-.f64 (*.f64 z (cos.f64 (*.f64 y #s(literal 2 binary64)))) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 z z) (-.f64 (*.f64 z (cos.f64 (*.f64 y #s(literal 2 binary64)))) z))))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))
(*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) (cos.f64 y))) (+.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 y)) (/.f64 (*.f64 (*.f64 x (sin.f64 y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (*.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64)))))))
(fma.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (/.f64 z (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))
(fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 x (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal -1 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)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))))
(fma.f64 (/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (-.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))))) (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))) (/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x)))))
Outputs
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
Calls

4 calls:

24.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
23.0ms
y
22.0ms
z
22.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes75.0ms (0.5%)

Counts
59 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 (*.f64 y x) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(+.f64 z (*.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (*.f64 y x))
(+.f64 z (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64))))))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) z)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
(*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 y (*.f64 y #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 (*.f64 y (*.f64 y #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 z (*.f64 y y)) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 z z)) (-.f64 (*.f64 y x) z))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) z)
(+.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) x) z)
(+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (+.f64 (/.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x) (/.f64 z x))))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))) z)
(+.f64 (*.f64 y (+.f64 x (*.f64 y (*.f64 y (+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/5040 binary64))) (*.f64 x #s(literal 1/120 binary64))))))))) z)
(*.f64 (+.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
(+.f64 z (*.f64 y (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y))) (*.f64 x x)) (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) x))))
(+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y))))) y) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) x)))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)
(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z))
(*.f64 z (*.f64 (sin.f64 y) (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
(*.f64 z (+.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (*.f64 z (cos.f64 y)))
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
(*.f64 z (+.f64 (cos.f64 y) (*.f64 x (/.f64 (sin.f64 y) z))))
(*.f64 z (+.f64 (cos.f64 y) (/.f64 (*.f64 x (sin.f64 y)) z)))
(*.f64 (+.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y)))) z)
(*.f64 z (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64))))) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) x))))
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (sin.f64 y))
(/.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))))) (cos.f64 y))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64)) x) (sin.f64 y))
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) (/.f64 x (/.f64 z (sin.f64 y)))))))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Calls

4 calls:

20.0ms
x
18.0ms
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
17.0ms
z
15.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes182.0ms (1.2%)

Counts
47 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 (*.f64 y x) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(+.f64 z (*.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (*.f64 y x))
(+.f64 z (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64))))))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) z)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
(*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 y (*.f64 y #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 (*.f64 y (*.f64 y #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 z (*.f64 y y)) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 z z)) (-.f64 (*.f64 y x) z))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) z)
(+.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) x) z)
(+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (+.f64 (/.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x) (/.f64 z x))))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))) z)
(+.f64 (*.f64 y (+.f64 x (*.f64 y (*.f64 y (+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/5040 binary64))) (*.f64 x #s(literal 1/120 binary64))))))))) z)
(*.f64 (+.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
(+.f64 z (*.f64 y (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y))) (*.f64 x x)) (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) x))))
(+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y))))) y) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) x)))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)
(/.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) z))
(*.f64 z (*.f64 (sin.f64 y) (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) (cos.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))
(*.f64 z (+.f64 (*.f64 x (/.f64 (sin.f64 y) z)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (*.f64 z (cos.f64 y)))
Outputs
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)
Calls

3 calls:

110.0ms
y
34.0ms
z
34.0ms
x
Results
AccuracySegmentsBranch
87.8%3x
83.3%4y
87.2%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes102.0ms (0.7%)

Counts
38 → 5
Calls
Call 1
Inputs
z
(*.f64 x y)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 (*.f64 y x) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(+.f64 z (*.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (*.f64 y x))
(+.f64 z (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64))))))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) z)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
(*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 y (*.f64 y #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 (*.f64 y (*.f64 y #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 z (*.f64 y y)) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 z z)) (-.f64 (*.f64 y x) z))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) z)
(+.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) x) z)
(+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (+.f64 (/.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x) (/.f64 z x))))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))) z)
(+.f64 (*.f64 y (+.f64 x (*.f64 y (*.f64 y (+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/5040 binary64))) (*.f64 x #s(literal 1/120 binary64))))))))) z)
(*.f64 (+.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
(+.f64 z (*.f64 y (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y))) (*.f64 x x)) (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) x))))
(+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y))))) y) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) x)))))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
Outputs
(*.f64 z (cos.f64 y))
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))) z)
(*.f64 x (sin.f64 y))
Calls

3 calls:

36.0ms
y
30.0ms
z
29.0ms
x
Results
AccuracySegmentsBranch
82.0%5y
76.0%3z
75.1%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes33.0ms (0.2%)

Counts
37 → 3
Calls
Call 1
Inputs
z
(*.f64 x y)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 (*.f64 y x) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(+.f64 z (*.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (*.f64 y x))
(+.f64 z (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64))))))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) z)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
(*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 y (*.f64 y #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 (*.f64 y (*.f64 y #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 z (*.f64 y y)) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 z z)) (-.f64 (*.f64 y x) z))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) z)
(+.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) x) z)
(+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (+.f64 (/.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x) (/.f64 z x))))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))) z)
(+.f64 (*.f64 y (+.f64 x (*.f64 y (*.f64 y (+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/5040 binary64))) (*.f64 x #s(literal 1/120 binary64))))))))) z)
(*.f64 (+.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
(+.f64 z (*.f64 y (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y))) (*.f64 x x)) (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) x))))
(+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y))))) y) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) x)))))
(*.f64 x (sin.f64 y))
Outputs
(*.f64 x (sin.f64 y))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
(*.f64 x (sin.f64 y))
Calls

1 calls:

25.0ms
y
Results
AccuracySegmentsBranch
76.9%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes31.0ms (0.2%)

Counts
36 → 1
Calls
Call 1
Inputs
z
(*.f64 x y)
(+.f64 z (*.f64 y x))
(+.f64 (*.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 x (+.f64 y (/.f64 z x)))
(*.f64 y (+.f64 x (/.f64 z y)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) z)))
(*.f64 (*.f64 y x) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) z)
(+.f64 z (*.f64 y (*.f64 #s(literal -1/2 binary64) (*.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z (*.f64 x y))))
(*.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (*.f64 y x))
(+.f64 z (*.f64 y (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 z y)))))
(+.f64 z (*.f64 y (+.f64 x (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64))))))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) z)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) (*.f64 z z))))
(*.f64 y (*.f64 (*.f64 y y) (+.f64 (/.f64 (*.f64 z #s(literal -1/2 binary64)) y) (*.f64 x #s(literal -1/6 binary64)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 y (*.f64 y #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 z (+.f64 (*.f64 y (*.f64 y #s(literal 1/24 binary64))) #s(literal -1/2 binary64)))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 (*.f64 y (*.f64 y #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x))
(+.f64 z (*.f64 y (+.f64 x (*.f64 y (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y x) #s(literal -1/6 binary64)))))))
(+.f64 z (*.f64 (*.f64 y y) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 z (*.f64 y y)) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 z z)) (-.f64 (*.f64 y x) z))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) #s(literal 1/120 binary64)))))))) z)
(+.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y #s(literal 1/120 binary64))))))) x) z)
(+.f64 z (*.f64 (*.f64 y y) (+.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y y) (*.f64 z (+.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y #s(literal -1/720 binary64)))))))))
(*.f64 x (+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (+.f64 (/.f64 (*.f64 z (*.f64 y (*.f64 y #s(literal -1/2 binary64)))) x) (/.f64 z x))))
(+.f64 (*.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/5040 binary64))))))))) z)
(+.f64 (*.f64 y (+.f64 x (*.f64 y (*.f64 y (+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 y y) (*.f64 x #s(literal -1/5040 binary64))) (*.f64 x #s(literal 1/120 binary64))))))))) z)
(*.f64 (+.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) (*.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 z (-.f64 z (*.f64 y x))))))
(+.f64 z (*.f64 y (/.f64 (-.f64 (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y))) (*.f64 x x)) (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) x))))
(+.f64 z (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64))) (*.f64 y y))))) y) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) (-.f64 (*.f64 y (+.f64 (*.f64 y (*.f64 x #s(literal -1/6 binary64))) (*.f64 z #s(literal -1/2 binary64)))) x)))))
Outputs
(+.f64 z (*.f64 y x))
Calls

3 calls:

10.0ms
z
10.0ms
x
10.0ms
y
Results
AccuracySegmentsBranch
55.5%1x
55.5%1z
55.5%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.1%)

Counts
2 → 2
Calls
Call 1
Inputs
z
(*.f64 x y)
Outputs
z
(*.f64 x y)
Calls

3 calls:

4.0ms
y
3.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
43.7%4y
46.0%3z
44.7%2x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

0.0ms
z
0.0ms
x
Results
AccuracySegmentsBranch
39.9%1z
39.9%1x
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch26.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
9.795846616962134e-51
5.498056367426672e-50
10.0ms
-3.490067360124463e-47
-2.0660883187876782e-47
Results
19.0ms160×0valid
Compiler

Compiled 198 to 143 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 6.0ms (44.9% of total)
ival-cos: 3.0ms (22.5% of total)
ival-mult: 3.0ms (22.5% of total)
ival-add: 1.0ms (7.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch77.0ms (0.5%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
56.015723492695905
204.67972937771933
21.0ms
-7.688878234402206e-7
-1.1175450593474017e-7
16.0ms
-49342883.86086697
-3894875.792326833
23.0ms
-4.7961712369781746e+91
-1.2039549877397115e+89
Results
48.0ms400×0valid
Compiler

Compiled 649 to 445 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-sin: 13.0ms (37.2% of total)
ival-cos: 11.0ms (31.5% of total)
ival-mult: 9.0ms (25.8% of total)
ival-add: 2.0ms (5.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
7.702058325570221e-10
0.04004163806654263
17.0ms
-49342883.86086697
-3894875.792326833
Results
24.0ms240×0valid
Compiler

Compiled 453 to 313 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sin: 6.0ms (37.5% of total)
ival-cos: 4.0ms (25% of total)
ival-mult: 4.0ms (25% of total)
ival-add: 1.0ms (6.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
4.216540439042486e+107
6.686405674010192e+109
Results
11.0ms112×0valid
Compiler

Compiled 102 to 76 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sin: 3.0ms (41.6% of total)
ival-cos: 2.0ms (27.8% of total)
ival-mult: 2.0ms (27.8% of total)
ival-add: 1.0ms (13.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

soundness2.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 148 to 63 computations (57.4% saved)

preprocess51.0ms (0.3%)

Compiler

Compiled 320 to 142 computations (55.6% saved)

end0.0ms (0%)

Profiling

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