Linear.Quaternion:$cexp from linear-1.19.1.3

Time bar (total: 6.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze27.0ms (0.4%)

Memory
-23.6MiB live, 25.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample1.0s (15.7%)

Memory
-2.3MiB live, 1 291.3MiB allocated
Samples
799.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 579.0ms
ival-sin: 273.0ms (47.2% of total)
ival-mult: 188.0ms (32.5% of total)
ival-div: 107.0ms (18.5% of total)
ival-true: 7.0ms (1.2% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain69.0ms (1%)

Memory
18.7MiB live, 112.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sin.f64 y)
00-0-y
00-0-(*.f64 x (/.f64 (sin.f64 y) y))
00-0-(/.f64 (sin.f64 y) y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
41.0ms512×0valid
Compiler

Compiled 38 to 19 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sin: 15.0ms (67.1% of total)
ival-div: 4.0ms (17.9% of total)
ival-mult: 3.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess44.0ms (0.7%)

Memory
-3.2MiB live, 33.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01536
13632
28132
313432
425732
552332
6118832
7290632
8615232
056
086
1116
2136
3156
4166
0166
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
Symmetry

(abs y)

(negabs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.f64 x (/.f64 (sin.f64 y) y))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify4.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) y)
cost-diff0
(*.f64 x (/.f64 (sin.f64 y) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514
0814
11114
21314
31514
41614
01614
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y

localize47.0ms (0.7%)

Memory
-13.2MiB live, 36.9MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 y)
accuracy0.10546875
(/.f64 (sin.f64 y) y)
accuracy0.15625
(*.f64 x (/.f64 (sin.f64 y) y))
Samples
42.0ms256×0valid
Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-sin: 29.0ms (89.2% of total)
ival-div: 2.0ms (6.2% of total)
ival-mult: 2.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated
Counts
3 → 15
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(sin.f64 y)
Outputs
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
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) y)
(sin y)
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
((* x (/ (sin y) y)) (/ (sin y) y) (sin y))
1.0ms
y
@inf
((* x (/ (sin y) y)) (/ (sin y) y) (sin y))
1.0ms
x
@-inf
((* x (/ (sin y) y)) (/ (sin y) y) (sin y))
1.0ms
y
@-inf
((* x (/ (sin y) y)) (/ (sin y) y) (sin y))
1.0ms
x
@inf
((* x (/ (sin y) y)) (/ (sin y) y) (sin y))

simplify398.0ms (6.1%)

Memory
46.5MiB live, 304.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043150
1142150
2478140
32043138
44988138
08032124
Stop Event
iter limit
node limit
Counts
15 → 13
Calls
Call 1
Inputs
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
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) y)
(sin y)
Outputs
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(sin y)
(sin.f64 y)

rewrite249.0ms (3.8%)

Memory
-28.0MiB live, 308.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
0812
11412
23712
314512
484112
0840412
Stop Event
iter limit
node limit
iter limit
Counts
3 → 153
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(sin.f64 y)
Outputs
(*.f64 (neg.f64 (neg.f64 x)) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 y (sin.f64 y)))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y)))) (*.f64 y (neg.f64 (sin.f64 y))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64)))) (*.f64 y (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y)))))))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 y (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))))))
(/.f64 (*.f64 x (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 x (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y)))))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))))))
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y))
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) x) (*.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 (sin.f64 y)) y))
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) x) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))) y))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) x) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))) (neg.f64 y)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) y))
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) x) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) (neg.f64 y)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y) x (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) x))
(fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y) (neg.f64 x) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 x y) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x y)))
(fma.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal -1 binary64) (sin.f64 y))))
(fma.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(fma.f64 (/.f64 x y) (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (/.f64 x y) (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(fma.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y)))
(fma.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (neg.f64 x) y) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (neg.f64 x) y)))
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (neg.f64 x) y) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (neg.f64 x) y)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y) (*.f64 x (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y)))
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (neg.f64 x) y)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (neg.f64 x) y)))
(+.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (neg.f64 x) y)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (neg.f64 x) y)))
(+.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 x y)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x y)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y) (neg.f64 x)) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (neg.f64 x)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y) x) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) x))
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal 0 binary64) (cos.f64 y))) (*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal -1 binary64) (sin.f64 y))))
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(+.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) (*.f64 (/.f64 x y) (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(+.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y)) (*.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y)))
(+.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (*.f64 x (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y)))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) x) (neg.f64 y)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) x) (neg.f64 y)))
(+.f64 (/.f64 (*.f64 x (*.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y)) (/.f64 (*.f64 x (*.f64 #s(literal 0 binary64) (cos.f64 y))) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y)) (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y) (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y))) (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y)) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y))) (/.f64 (sin.f64 y) y))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y) (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y) (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y)) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (neg.f64 y)) (*.f64 (neg.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y)))) (*.f64 y y))
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y))
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) y))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y))
(+.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) y) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (sin.f64 y))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) (sin.f64 y))
(/.f64 (+.f64 (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)) (-.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)) (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (sin.f64 y)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))) (sin.f64 y))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y)))) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))))
(/.f64 (fma.f64 (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (sin.f64 y) (neg.f64 (sin.f64 y))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (sin.f64 y))))) #s(literal 4 binary64))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 (sin.f64 y)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y)))))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))))))
(neg.f64 (neg.f64 (sin.f64 y)))
(fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(fma.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64)))))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(fma.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(fma.f64 #s(literal 0 binary64) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(fma.f64 (cos.f64 y) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64)))))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(fma.f64 (sin.f64 y) (cos.f64 (+.f64 (PI.f64) (PI.f64))) (*.f64 (cos.f64 y) (sin.f64 (+.f64 (PI.f64) (PI.f64)))))
(fma.f64 (sin.f64 y) #s(literal 1 binary64) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64)))))
(fma.f64 (sin.f64 y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(sin.f64 (neg.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64))))
(sin.f64 (neg.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal -2 binary64)))))
(sin.f64 (neg.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (PI.f64))))
(sin.f64 (+.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (-.f64 y (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal -2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (PI.f64) (neg.f64 y)))
(sin.f64 (neg.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (/.f64 (PI.f64) #s(literal -2 binary64))))
(sin.f64 (-.f64 (neg.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))))
(sin.f64 (-.f64 (neg.f64 y) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)))
(sin.f64 y)
(-.f64 (*.f64 (cos.f64 y) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 (sin.f64 y) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))))
(-.f64 (*.f64 (cos.f64 y) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (sin.f64 y)))
(-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) #s(literal 0 binary64)))
(-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) (sin.f64 (neg.f64 (PI.f64)))))
(-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64)))))
(-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))))
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))
(cos.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64))))
(cos.f64 (neg.f64 (-.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64)))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))))
(cos.f64 (neg.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal -2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (-.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal -2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal -2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (neg.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (-.f64 y (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)))
(cos.f64 (-.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal -2 binary64))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))))
(cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))
(+.f64 (*.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(+.f64 (*.f64 (sin.f64 y) (cos.f64 (+.f64 (PI.f64) (PI.f64)))) (*.f64 (cos.f64 y) (sin.f64 (+.f64 (PI.f64) (PI.f64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y)))

eval20.0ms (0.3%)

Memory
35.0MiB live, 35.0MiB allocated
Compiler

Compiled 2 976 to 631 computations (78.8% saved)

prune31.0ms (0.5%)

Memory
-24.0MiB live, 22.4MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1579166
Fresh000
Picked011
Done000
Total15710167
Accuracy
100.0%
Counts
167 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.7%
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) y))
76.5%
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y))
90.3%
(/.f64 (*.f64 (sin.f64 y) x) y)
92.7%
(*.f64 (/.f64 x y) (sin.f64 y))
54.3%
(*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y))
99.7%
(*.f64 x (/.f64 (sin.f64 y) y))
47.9%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
48.9%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
47.9%
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
48.0%
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
Compiler

Compiled 300 to 207 computations (31% saved)

simplify288.0ms (4.4%)

Memory
-21.2MiB live, 173.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))
cost-diff2
(*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x))
cost-diff6
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
(/.f64 (*.f64 (sin.f64 y) x) y)
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
cost-diff0
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
cost-diff0
#s(approx (/ (sin y) y) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) (sin.f64 y))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027146
046138
1102138
2322136
31387136
43643136
08510136
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
x
y
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
x
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
x
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
(*.f64 #s(literal 1/120 binary64) y)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y))
(*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x))
(*.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))
(sin.f64 y)
y
(neg.f64 (sin.f64 y))
(neg.f64 x)
x
(*.f64 (sin.f64 y) y)
Outputs
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 x y)
x
y
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x)
x
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* x (/ (sin y) y)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
x
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
(*.f64 #s(literal 1/120 binary64) y)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x))
(*.f64 (*.f64 (sin.f64 y) x) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y))
(sin.f64 y)
y
(neg.f64 (sin.f64 y))
(neg.f64 x)
x
(*.f64 (sin.f64 y) y)

localize123.0ms (1.9%)

Memory
28.9MiB live, 130.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(*.f64 (sin.f64 y) y)
accuracy0.28029252930532605
(*.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))
accuracy3.1073047322292635
(*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x))
accuracy14.755067117888432
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y))
accuracy0.0
(sin.f64 y)
accuracy0.12890625
(*.f64 (sin.f64 y) x)
accuracy6.176450555608154
(/.f64 (*.f64 (sin.f64 y) x) y)
accuracy0.06640625
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
accuracy0.0859375
(*.f64 #s(literal 1/120 binary64) y)
accuracy1.8977390046856937
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
accuracy33.28660137909629
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
accuracy0.15625
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy32.84803851127495
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy0.0
(/.f64 x y)
accuracy0.0
(sin.f64 y)
accuracy4.649837928370581
(*.f64 (/.f64 x y) (sin.f64 y))
Samples
64.0ms256×0valid
Compiler

Compiled 135 to 27 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 16.0ms (32.5% of total)
const: 15.0ms (30.5% of total)
ival-div: 7.0ms (14.2% of total)
ival-sin: 7.0ms (14.2% of total)
ival-add: 2.0ms (4.1% of total)
ival-neg: 2.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series49.0ms (0.7%)

Memory
-4.9MiB live, 41.3MiB allocated
Counts
17 → 48
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y))
(*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x))
(*.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))
(*.f64 #s(literal 1/120 binary64) y)
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
(*.f64 (sin.f64 y) y)
Outputs
(/ (* x (sin y)) y)
(/ x y)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (sin y))
(* x (pow (sin y) 2))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(pow y 2)
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(* -1 (pow y 2))
(* (pow y 2) (- (* 1/3 (pow y 2)) 1))
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/315 (pow y 2)) 2/45)))) 1))
(* 1/120 y)
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(/ (sin y) y)
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 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)))))
(* -1 (pow (sin y) 2))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* y (sin y))
Calls

6 calls:

TimeVariablePointExpression
30.0ms
x
@-inf
((* (/ x y) (sin y)) (/ x y) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (* x (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1)) (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (/ (* (* (sin y) (neg (sin y))) (neg x)) (* (sin y) y)) (* (* (sin y) (neg (sin y))) (neg x)) (* (sin y) (neg (sin y))) (* 1/120 y) (+ (* (* 1/120 y) y) -1/6) (* (sin y) y))
6.0ms
y
@-inf
((* (/ x y) (sin y)) (/ x y) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (* x (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1)) (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (/ (* (* (sin y) (neg (sin y))) (neg x)) (* (sin y) y)) (* (* (sin y) (neg (sin y))) (neg x)) (* (sin y) (neg (sin y))) (* 1/120 y) (+ (* (* 1/120 y) y) -1/6) (* (sin y) y))
4.0ms
x
@inf
((* (/ x y) (sin y)) (/ x y) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (* x (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1)) (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (/ (* (* (sin y) (neg (sin y))) (neg x)) (* (sin y) y)) (* (* (sin y) (neg (sin y))) (neg x)) (* (sin y) (neg (sin y))) (* 1/120 y) (+ (* (* 1/120 y) y) -1/6) (* (sin y) y))
3.0ms
y
@inf
((* (/ x y) (sin y)) (/ x y) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (* x (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1)) (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (/ (* (* (sin y) (neg (sin y))) (neg x)) (* (sin y) y)) (* (* (sin y) (neg (sin y))) (neg x)) (* (sin y) (neg (sin y))) (* 1/120 y) (+ (* (* 1/120 y) y) -1/6) (* (sin y) y))
3.0ms
x
@0
((* (/ x y) (sin y)) (/ x y) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (* x (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1)) (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (/ (* (* (sin y) (neg (sin y))) (neg x)) (* (sin y) y)) (* (* (sin y) (neg (sin y))) (neg x)) (* (sin y) (neg (sin y))) (* 1/120 y) (+ (* (* 1/120 y) y) -1/6) (* (sin y) y))

simplify171.0ms (2.6%)

Memory
-15.1MiB live, 218.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119525
1397525
21384499
34110491
08003455
Stop Event
iter limit
node limit
Counts
48 → 46
Calls
Call 1
Inputs
(/ (* x (sin y)) y)
(/ x y)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (sin y))
(* x (pow (sin y) 2))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(pow y 2)
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(* -1 (pow y 2))
(* (pow y 2) (- (* 1/3 (pow y 2)) 1))
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/315 (pow y 2)) 2/45)))) 1))
(* 1/120 y)
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(/ (sin y) y)
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 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)))))
(* -1 (pow (sin y) 2))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* y (sin y))
Outputs
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ x y)
(/.f64 x y)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (pow (sin y) 2))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/5040 binary64) x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y x))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (* -1/3 (* x (pow y 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) y) y #s(literal 1 binary64)) (*.f64 (*.f64 y y) x))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* 2/45 (* x (pow y 2)))))))
(*.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 2/45 binary64) y) y #s(literal -1/3 binary64))) (*.f64 y y) x) y) y)
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/3 x) (* (pow y 2) (+ (* -1/315 (* x (pow y 2))) (* 2/45 x)))))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/315 binary64) (*.f64 y y) #s(literal 2/45 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 y y) x) x)) (*.f64 y y))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (* 1/3 (pow y 2)) 1))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) y)
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -2/45 binary64)) #s(literal 1 binary64))) (*.f64 y y))
(* (pow y 2) (- (* (pow y 2) (+ 1/3 (* (pow y 2) (- (* 1/315 (pow y 2)) 2/45)))) 1))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/315 binary64) y) y) #s(literal 2/45 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 y y))
(* 1/120 y)
(*.f64 #s(literal 1/120 binary64) y)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow y 2)) 1/6)
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/6 binary64) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y))
(sin y)
(sin.f64 y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(* 1/120 (* x (pow y 4)))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) x)
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(fma.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 4 binary64)) x)
(* 1/120 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* -1 (pow (sin y) 2))
(neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(* 1/120 (pow y 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) y) y)
(* y (sin y))
(*.f64 (sin.f64 y) y)

rewrite353.0ms (5.4%)

Memory
-5.8MiB live, 330.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027124
046116
1138114
2840112
08374112
Stop Event
iter limit
node limit
iter limit
Counts
17 → 802
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y))
(*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x))
(*.f64 (sin.f64 y) (neg.f64 (sin.f64 y)))
(*.f64 #s(literal 1/120 binary64) y)
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
(*.f64 (sin.f64 y) y)
Outputs
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y)) (neg.f64 (sin.f64 y))) (sin.f64 y))
(*.f64 (*.f64 (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y)) (sin.f64 y)) (neg.f64 (sin.f64 y)))
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (/.f64 x (sin.f64 y)) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 y)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y) (/.f64 x (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y) (/.f64 (neg.f64 x) (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 y)) (/.f64 x (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (sin.f64 y)) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 (sin.f64 y))))
(*.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))
(*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 x) (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 y)) (/.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (*.f64 (sin.f64 y) y)))
(*.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 (sin.f64 y) (*.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (neg.f64 x) y) (*.f64 (sin.f64 y) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (sin.f64 y) y)))
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) y)))
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (sin.f64 y) (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (/.f64 (sin.f64 y) y) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 x y) (*.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 x (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 y) y)) (cos.f64 (+.f64 (neg.f64 y) y))) (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64)))) (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64)))) (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 y) y)) (cos.f64 (+.f64 (neg.f64 y) y))) x) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) y)
(/.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 y)) (neg.f64 x)) (sin.f64 y))
(/.f64 (*.f64 (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y)) (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y)) (-.f64 (cos.f64 (-.f64 (neg.f64 y) y)) (cos.f64 (+.f64 (neg.f64 y) y)))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y)) (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (/.f64 x (sin.f64 y)) (neg.f64 y)) (-.f64 (cos.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (sin.f64 y)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 (sin.f64 y) x)) (sin.f64 y))
(/.f64 (*.f64 x (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (neg.f64 y) (sin.f64 y)) #s(literal 2 binary64)))
(/.f64 (*.f64 x (-.f64 (cos.f64 (-.f64 (neg.f64 y) y)) (cos.f64 (+.f64 (neg.f64 y) y)))) (*.f64 (*.f64 (neg.f64 y) (sin.f64 y)) #s(literal 2 binary64)))
(/.f64 (*.f64 x (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) (*.f64 (*.f64 (neg.f64 y) (sin.f64 y)) #s(literal 2 binary64)))
(/.f64 (*.f64 x (-.f64 (cos.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) (*.f64 (*.f64 (neg.f64 y) (sin.f64 y)) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 x)) y) (neg.f64 (sin.f64 y)))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (neg.f64 x) y)) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x y))) (neg.f64 (sin.f64 y)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 y)) (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 y)) (-.f64 (cos.f64 (-.f64 (neg.f64 y) y)) (cos.f64 (+.f64 (neg.f64 y) y)))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 y)) (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 y)) (-.f64 (cos.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (-.f64 (cos.f64 (-.f64 (neg.f64 y) y)) (cos.f64 (+.f64 (neg.f64 y) y)))) (*.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) (*.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (-.f64 (cos.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) (*.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 x) (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (cos.f64 (-.f64 (neg.f64 y) y)) (cos.f64 (+.f64 (neg.f64 y) y)))) (*.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) (*.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (cos.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64))))) (*.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 (neg.f64 x) (sin.f64 y))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) y))) x) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (*.f64 (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (sin.f64 y)))
(/.f64 (*.f64 (+.f64 (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) y))) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 y) y)) (cos.f64 (+.f64 (neg.f64 y) y))) (/.f64 (neg.f64 x) (sin.f64 y))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 y) y)) (cos.f64 (+.f64 (neg.f64 y) y))) (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (sin.f64 y)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 y) y)) (cos.f64 (+.f64 (neg.f64 y) y))) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64)))) (/.f64 (neg.f64 x) (sin.f64 y))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64)))) x) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (*.f64 (-.f64 (cos.f64 (+.f64 (PI.f64) #s(literal 0 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) y (PI.f64)))) (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (sin.f64 y)))
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(fma.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) y) (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))))) (/.f64 #s(literal -1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 y (fabs.f64 (*.f64 #s(literal 1/120 binary64) y)) #s(literal -1/6 binary64))
(fma.f64 y (*.f64 #s(literal 1/120 binary64) y) #s(literal -1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/120 binary64) y) y))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/120 binary64) y) y))))
(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) y) #s(literal -1/6 binary64))))
(-.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 y y)))
(+.f64 (/.f64 #s(literal -1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))))) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))))))
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))))) (/.f64 #s(literal -1/216 binary64) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) y) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/120 binary64) y)) y))
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/120 binary64) y) y))
(*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(*.f64 (sin.f64 y) y)
(*.f64 y (sin.f64 y))
(neg.f64 (*.f64 (neg.f64 y) (sin.f64 y)))

eval151.0ms (2.3%)

Memory
44.0MiB live, 184.2MiB allocated
Compiler

Compiled 19 126 to 2 368 computations (87.6% saved)

prune32.0ms (0.5%)

Memory
-19.8MiB live, 72.1MiB allocated
Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New7105715
Fresh044
Picked145
Done011
Total71114725
Accuracy
100.0%
Counts
725 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.7%
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) y))
76.5%
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 (sin.f64 y) y))
90.3%
(/.f64 (*.f64 (sin.f64 y) x) y)
39.4%
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
74.5%
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (*.f64 (sin.f64 y) y)))
92.7%
(*.f64 (/.f64 x y) (sin.f64 y))
92.6%
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (sin.f64 y))
54.3%
(*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y))
99.7%
(*.f64 x (/.f64 (sin.f64 y) y))
47.9%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
48.9%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
48.0%
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
47.9%
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
48.0%
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
Compiler

Compiled 342 to 238 computations (30.4% saved)

simplify111.0ms (1.7%)

Memory
14.1MiB live, 201.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y))
cost-diff2
(*.f64 #s(literal 1 binary64) (sin.f64 y))
cost-diff2
(sin.f64 (neg.f64 (PI.f64)))
cost-diff4
(fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
cost-diff0
(/.f64 x (*.f64 (sin.f64 y) y))
cost-diff0
(sin.f64 y)
cost-diff0
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
cost-diff5
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (*.f64 (sin.f64 y) y)))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (* (sin y) x) (*.f64 y x))
cost-diff0
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
cost-diff0
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (sin.f64 y))
cost-diff2
(*.f64 x (/.f64 #s(literal 1 binary64) y))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032161
056140
1109128
2274126
3873124
42346124
55166124
08539124
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (sin.f64 y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
x
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sin.f64 y)
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal -1/6 binary64)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
#s(approx (* (sin y) x) (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (*.f64 (sin.f64 y) y)))
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(sin.f64 y)
y
#s(literal 2 binary64)
(/.f64 x (*.f64 (sin.f64 y) y))
x
(*.f64 (sin.f64 y) y)
(*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y))
x
(/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y)
(fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(sin.f64 (neg.f64 (PI.f64)))
(neg.f64 (PI.f64))
(PI.f64)
(cos.f64 y)
y
(*.f64 #s(literal 1 binary64) (sin.f64 y))
#s(literal 1 binary64)
(sin.f64 y)
Outputs
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
x
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sin.f64 y)
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
#s(approx (* (/ x y) (sin y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal -1/6 binary64)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
#s(approx (* (sin y) x) (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (*.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(sin.f64 y)
y
#s(literal 2 binary64)
(/.f64 x (*.f64 (sin.f64 y) y))
x
(*.f64 (sin.f64 y) y)
(*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
x
(/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y)
(/.f64 (sin.f64 y) y)
(fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(sin.f64 y)
(sin.f64 (neg.f64 (PI.f64)))
#s(literal 0 binary64)
(neg.f64 (PI.f64))
(PI.f64)
(cos.f64 y)
y
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(sin.f64 y)
#s(literal 1 binary64)
(sin.f64 y)

localize506.0ms (7.7%)

Memory
8.4MiB live, 632.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(PI.f64)
accuracy0.10546875
(/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y)
accuracy0.15625
(*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y))
accuracy61.92199421717352
(sin.f64 (neg.f64 (PI.f64)))
accuracy0.11328125
(*.f64 (sin.f64 y) y)
accuracy0.28029252930532605
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
accuracy3.3141130724119936
(/.f64 x (*.f64 (sin.f64 y) y))
accuracy15.834777937513772
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (*.f64 (sin.f64 y) y)))
accuracy0.0
(*.f64 y x)
accuracy6.176450555608154
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
accuracy32.89442912964102
#s(approx (* (sin y) x) (*.f64 y x))
accuracy0.0
(*.f64 y y)
accuracy0.078125
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
accuracy6.238849978993899
(*.f64 (*.f64 y y) x)
accuracy33.29906370658281
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
accuracy0.0
(/.f64 #s(literal 1 binary64) y)
accuracy0.0
(sin.f64 y)
accuracy0.2265625
(*.f64 x (/.f64 #s(literal 1 binary64) y))
accuracy4.649837928370581
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (sin.f64 y))
Samples
362.0ms150×2valid
105.0ms106×1valid
Compiler

Compiled 150 to 33 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 402.0ms
ival-sin: 168.0ms (41.8% of total)
ival-div: 107.0ms (26.6% of total)
ival-mult: 69.0ms (17.2% of total)
adjust: 23.0ms (5.7% of total)
ival-cos: 12.0ms (3% of total)
const: 6.0ms (1.5% of total)
ival-add: 5.0ms (1.2% of total)
ival-pow2: 5.0ms (1.2% of total)
ival-pi: 3.0ms (0.7% of total)
ival-neg: 3.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series40.0ms (0.6%)

Memory
-17.7MiB live, 75.1MiB allocated
Counts
21 → 51
Calls
Call 1
Inputs
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (sin.f64 y))
(/.f64 #s(literal 1 binary64) y)
(sin.f64 y)
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
#s(approx (* (sin y) x) (*.f64 y x))
(*.f64 y x)
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (*.f64 (sin.f64 y) y)))
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(/.f64 x (*.f64 (sin.f64 y) y))
(fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(sin.f64 (neg.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y))
(*.f64 (sin.f64 y) y)
(/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y)
(PI.f64)
Outputs
(/ x y)
(/ (* x (sin y)) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (pow y 2))
(* x (sin y))
(* x y)
(/ x (* y (sin y)))
(/ (* x (+ (sin y) (* (cos y) (sin (neg (PI)))))) y)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ 1 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))))
(pow y 2)
(* 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)))))))
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(/ x (pow y 2))
(/ (+ x (* 1/6 (* x (pow y 2)))) (pow y 2))
(/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) (pow y 2))
(/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) (pow y 2))
(sin (neg (PI)))
(+ y (sin (neg (PI))))
(+ (sin (neg (PI))) (* y (+ 1 (* -1/2 (* y (sin (neg (PI))))))))
(+ (sin (neg (PI))) (* y (+ 1 (* y (+ (* -1/2 (sin (neg (PI)))) (* -1/6 y))))))
(/ (* x (sin (neg (PI)))) y)
(/ (+ (* x y) (* x (sin (neg (PI))))) y)
(/ (+ (* x (sin (neg (PI)))) (* y (+ x (* -1/2 (* x (* y (sin (neg (PI))))))))) y)
(/ (+ (* x (sin (neg (PI)))) (* y (+ x (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* -1/6 (* x y))))))) y)
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ (sin (neg (PI))) y)
(/ (+ y (sin (neg (PI)))) y)
(/ (+ (sin (neg (PI))) (* y (+ 1 (* -1/2 (* y (sin (neg (PI)))))))) y)
(/ (+ (sin (neg (PI))) (* y (+ 1 (* y (+ (* -1/2 (sin (neg (PI)))) (* -1/6 y)))))) y)
(sin y)
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(pow (sin y) 2)
(+ (sin y) (* (cos y) (sin (neg (PI)))))
(* y (sin y))
(/ (+ (sin y) (* (cos y) (sin (neg (PI))))) y)
Calls

6 calls:

TimeVariablePointExpression
13.0ms
x
@inf
((* x (/ 1 y)) (* (* x (/ 1 y)) (sin y)) (/ 1 y) (sin y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* y x) (* (pow (sin y) 2) (/ x (* (sin y) y))) (pow (sin y) 2) (/ x (* (sin y) y)) (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) (sin (neg (PI))) (* 1 (sin y)) (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) (* (sin y) y) (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y) (PI))
10.0ms
y
@-inf
((* x (/ 1 y)) (* (* x (/ 1 y)) (sin y)) (/ 1 y) (sin y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* y x) (* (pow (sin y) 2) (/ x (* (sin y) y))) (pow (sin y) 2) (/ x (* (sin y) y)) (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) (sin (neg (PI))) (* 1 (sin y)) (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) (* (sin y) y) (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y) (PI))
5.0ms
x
@-inf
((* x (/ 1 y)) (* (* x (/ 1 y)) (sin y)) (/ 1 y) (sin y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* y x) (* (pow (sin y) 2) (/ x (* (sin y) y))) (pow (sin y) 2) (/ x (* (sin y) y)) (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) (sin (neg (PI))) (* 1 (sin y)) (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) (* (sin y) y) (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y) (PI))
4.0ms
x
@0
((* x (/ 1 y)) (* (* x (/ 1 y)) (sin y)) (/ 1 y) (sin y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* y x) (* (pow (sin y) 2) (/ x (* (sin y) y))) (pow (sin y) 2) (/ x (* (sin y) y)) (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) (sin (neg (PI))) (* 1 (sin y)) (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) (* (sin y) y) (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y) (PI))
4.0ms
y
@inf
((* x (/ 1 y)) (* (* x (/ 1 y)) (sin y)) (/ 1 y) (sin y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* y x) (* (pow (sin y) 2) (/ x (* (sin y) y))) (pow (sin y) 2) (/ x (* (sin y) y)) (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) (sin (neg (PI))) (* 1 (sin y)) (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) (* (sin y) y) (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y) (PI))

simplify210.0ms (3.2%)

Memory
23.4MiB live, 203.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0153514
1541486
22066420
37023420
08302384
Stop Event
iter limit
node limit
Counts
51 → 49
Calls
Call 1
Inputs
(/ x y)
(/ (* x (sin y)) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (pow y 2))
(* x (sin y))
(* x y)
(/ x (* y (sin y)))
(/ (* x (+ (sin y) (* (cos y) (sin (neg (PI)))))) y)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ 1 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))))
(pow y 2)
(* 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)))))))
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(/ x (pow y 2))
(/ (+ x (* 1/6 (* x (pow y 2)))) (pow y 2))
(/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) (pow y 2))
(/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) (pow y 2))
(sin (neg (PI)))
(+ y (sin (neg (PI))))
(+ (sin (neg (PI))) (* y (+ 1 (* -1/2 (* y (sin (neg (PI))))))))
(+ (sin (neg (PI))) (* y (+ 1 (* y (+ (* -1/2 (sin (neg (PI)))) (* -1/6 y))))))
(/ (* x (sin (neg (PI)))) y)
(/ (+ (* x y) (* x (sin (neg (PI))))) y)
(/ (+ (* x (sin (neg (PI)))) (* y (+ x (* -1/2 (* x (* y (sin (neg (PI))))))))) y)
(/ (+ (* x (sin (neg (PI)))) (* y (+ x (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* -1/6 (* x y))))))) y)
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ (sin (neg (PI))) y)
(/ (+ y (sin (neg (PI)))) y)
(/ (+ (sin (neg (PI))) (* y (+ 1 (* -1/2 (* y (sin (neg (PI)))))))) y)
(/ (+ (sin (neg (PI))) (* y (+ 1 (* y (+ (* -1/2 (sin (neg (PI)))) (* -1/6 y)))))) y)
(sin y)
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(pow (sin y) 2)
(+ (sin y) (* (cos y) (sin (neg (PI)))))
(* y (sin y))
(/ (+ (sin y) (* (cos y) (sin (neg (PI))))) y)
Outputs
(/ x y)
(/.f64 x y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x y)
(*.f64 y x)
(/ x (* y (sin y)))
(/.f64 x (*.f64 (sin.f64 y) y))
(/ (* x (+ (sin y) (* (cos y) (sin (neg (PI)))))) y)
(/.f64 (fma.f64 (sin.f64 y) x #s(literal 0 binary64)) y)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y)
(pow y 2)
(*.f64 y y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) x) (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y x))
(* (pow y 2) (+ 1 (* -1/3 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 y y)) #s(literal 1/3 binary64)) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/315 binary64) (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 y y)) #s(literal 1/3 binary64))) (*.f64 y y))
(/ x (pow y 2))
(/.f64 (/.f64 x y) y)
(/ (+ x (* 1/6 (* x (pow y 2)))) (pow y 2))
(fma.f64 #s(literal 1/6 binary64) x (/.f64 (/.f64 x y) y))
(/ (+ x (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) (pow y 2))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) x (*.f64 (*.f64 (*.f64 y y) x) #s(literal 7/360 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x y) y))
(/ (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) (pow y 2))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x #s(literal -31/15120 binary64)) y) (neg.f64 y) (*.f64 #s(literal 7/360 binary64) x)) (*.f64 y y) (*.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64) (/.f64 (/.f64 x y) y))
(sin (neg (PI)))
#s(literal 0 binary64)
(+ y (sin (neg (PI))))
y
(+ (sin (neg (PI))) (* y (+ 1 (* -1/2 (* y (sin (neg (PI))))))))
y
(+ (sin (neg (PI))) (* y (+ 1 (* y (+ (* -1/2 (sin (neg (PI)))) (* -1/6 y))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(/ (* x (sin (neg (PI)))) y)
#s(literal 0 binary64)
(/ (+ (* x y) (* x (sin (neg (PI))))) y)
x
(/ (+ (* x (sin (neg (PI)))) (* y (+ x (* -1/2 (* x (* y (sin (neg (PI))))))))) y)
x
(/ (+ (* x (sin (neg (PI)))) (* y (+ x (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* -1/6 (* x y))))))) y)
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/6 binary64) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y))
(/ (sin (neg (PI))) y)
#s(literal 0 binary64)
(/ (+ y (sin (neg (PI)))) y)
#s(literal 1 binary64)
(/ (+ (sin (neg (PI))) (* y (+ 1 (* -1/2 (* y (sin (neg (PI)))))))) y)
#s(literal 1 binary64)
(/ (+ (sin (neg (PI))) (* y (+ 1 (* y (+ (* -1/2 (sin (neg (PI)))) (* -1/6 y)))))) y)
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))
(sin y)
(sin.f64 y)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(pow (sin y) 2)
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(+ (sin y) (* (cos y) (sin (neg (PI)))))
(-.f64 (sin.f64 y) #s(literal 0 binary64))
(* y (sin y))
(*.f64 (sin.f64 y) y)
(/ (+ (sin y) (* (cos y) (sin (neg (PI))))) y)
(/.f64 (-.f64 (sin.f64 y) #s(literal 0 binary64)) y)

rewrite288.0ms (4.4%)

Memory
13.9MiB live, 355.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032139
056128
1176114
2966108
09008108
Stop Event
iter limit
node limit
iter limit
Counts
21 → 909
Calls
Call 1
Inputs
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (sin.f64 y))
(/.f64 #s(literal 1 binary64) y)
(sin.f64 y)
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
#s(approx (* (sin y) x) (*.f64 y x))
(*.f64 y x)
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (*.f64 (sin.f64 y) y)))
(pow.f64 (sin.f64 y) #s(literal 2 binary64))
(/.f64 x (*.f64 (sin.f64 y) y))
(fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(sin.f64 (neg.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y))
(*.f64 (sin.f64 y) y)
(/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y)
(PI.f64)
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) x)
(*.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)))
(neg.f64 (*.f64 x (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 y) y)) (sin.f64 y)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 y) y)) (neg.f64 (sin.f64 y))) (neg.f64 (sin.f64 y)))
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (*.f64 (sin.f64 y) x))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 y)) (/.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (*.f64 (sin.f64 y) y)) (/.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (sin.f64 y) y)) x)
(*.f64 (/.f64 (sin.f64 y) (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (*.f64 (sin.f64 y) y)))
(*.f64 (*.f64 (/.f64 x (*.f64 (sin.f64 y) y)) (sin.f64 y)) (sin.f64 y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (sin.f64 y))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) x)))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sin.f64 y) (/.f64 x (*.f64 (sin.f64 y) y)))))
(*.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y) (/.f64 x (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 x) (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (sin.f64 y) y))))
(*.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (*.f64 (sin.f64 y) x) (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x (*.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (*.f64 (sin.f64 y) y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (*.f64 (sin.f64 y) y)))
(*.f64 (*.f64 (sin.f64 y) x) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 (sin.f64 y) (/.f64 x (*.f64 (sin.f64 y) y))))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (sin.f64 y) x))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 x (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (sin.f64 y) y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) y)) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (sin.f64 y)))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x)) (*.f64 (sin.f64 y) y))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) x)) y)
(/.f64 (*.f64 (/.f64 (neg.f64 x) (sin.f64 y)) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 x (sin.f64 y)) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 (*.f64 (neg.f64 y) (sin.f64 y)) #s(literal 2 binary64)))
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(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 y) (*.f64 (sin.f64 y) y)) (*.f64 y y))
(/.f64 (fma.f64 #s(literal 0 binary64) y (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 (neg.f64 y) y))
(/.f64 (fma.f64 #s(literal 0 binary64) (neg.f64 y) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y))
(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (-.f64 (sin.f64 y) #s(literal 0 binary64)) y))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y)))
(/.f64 (*.f64 y (-.f64 (sin.f64 y) #s(literal 0 binary64))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (neg.f64 y))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y))
(/.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y))
(/.f64 (-.f64 (sin.f64 y) #s(literal 0 binary64)) y)
(/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y))
(fma.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (sin.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (sin.f64 y))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (sin.f64 y))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 y #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (sin.f64 y) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (sin.f64 y) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (sin.f64 y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y)) (/.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 y))) y) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y))
(-.f64 (/.f64 (sin.f64 y) y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 y)) (pow.f64 y #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (sin.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) y)))
(-.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) (neg.f64 y)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) y))
(+.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) #s(literal 0 binary64)))) (/.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) #s(literal 0 binary64)))))
(+.f64 (/.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 y y)) (/.f64 (*.f64 (sin.f64 y) y) (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y)) (/.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y)))
(+.f64 (/.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y)))
(+.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) y) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) y))
(+.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y)) (/.f64 (-.f64 (sin.f64 y) #s(literal 0 binary64)) y))
(+.f64 (/.f64 (sin.f64 y) y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (cbrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (PI.f64))) (sqrt.f64 (neg.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64)) (PI.f64))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64)) (PI.f64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (PI.f64))))
(*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (PI.f64)))
(pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (PI.f64))) (cosh.f64 (log.f64 (PI.f64)))) (*.f64 (sinh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64))))) (-.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (PI.f64))) (cosh.f64 (log.f64 (PI.f64))) (-.f64 (*.f64 (sinh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))) (*.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))))))
(neg.f64 (neg.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(fabs.f64 (neg.f64 (PI.f64)))
(fabs.f64 (PI.f64))
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(+.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64))))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)

eval138.0ms (2.1%)

Memory
13.1MiB live, 240.9MiB allocated
Compiler

Compiled 17 719 to 2 808 computations (84.2% saved)

prune29.0ms (0.4%)

Memory
3.7MiB live, 92.7MiB allocated
Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New94810958
Fresh224
Picked235
Done145
Total95319972
Accuracy
100.0%
Counts
972 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.3%
(/.f64 (*.f64 (sin.f64 y) x) y)
39.4%
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
74.5%
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (*.f64 (sin.f64 y) y)))
92.7%
(*.f64 (/.f64 x y) (sin.f64 y))
53.9%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 x (*.f64 (sin.f64 y) y)))
67.1%
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)))
92.6%
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (sin.f64 y))
55.3%
(*.f64 x (/.f64 (-.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 (-.f64 (neg.f64 (PI.f64)) y)) #s(literal 2 binary64))) (/.f64 (sin.f64 (-.f64 y (PI.f64))) #s(literal 2 binary64))) y))
99.7%
(*.f64 x (/.f64 (sin.f64 y) y))
99.6%
(*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))))
47.9%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
90.1%
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (sin.f64 y) x)))
48.0%
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x))
48.0%
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y x))
2.8%
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
48.9%
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) x)
13.0%
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
47.9%
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
48.0%
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
Compiler

Compiled 451 to 341 computations (24.4% saved)

simplify157.0ms (2.4%)

Memory
-48.9MiB live, 250.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
cost-diff0
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
cost-diff0
(*.f64 y #s(literal -1/6 binary64))
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x)
cost-diff0
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x))
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
cost-diff0
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
cost-diff0
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
cost-diff0
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
(*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))))
cost-diff1
(*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))
cost-diff3
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046223
066219
1135208
2417203
31689203
44706203
08339203
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))))
x
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y)))
#s(literal 0 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(sin.f64 y)
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal -1/6 binary64)
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x)
(*.f64 y x)
y
x
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
Outputs
(*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))))
(*.f64 (/.f64 x y) (sin.f64 y))
x
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y)))
(/.f64 (sin.f64 y) y)
#s(literal 0 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))
(/.f64 (sin.f64 y) (neg.f64 y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(sin.f64 y)
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
#s(approx (* (/ x y) (sin y)) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal -1/6 binary64)
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x))
#s(approx (* (/ x y) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x))
(fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x)
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x)
(*.f64 y x)
y
x
(*.f64 y #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) y)
#s(literal -1/6 binary64)
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64))
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)

localize265.0ms (4%)

Memory
29.3MiB live, 357.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.24729619405206374
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
accuracy0.47864652447032996
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy6.238849978993899
(*.f64 (*.f64 y y) x)
accuracy33.32827950283951
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
accuracy0.0
(*.f64 y x)
accuracy0.06478500976844201
(fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x)
accuracy0.32421875
(*.f64 y #s(literal -1/6 binary64))
accuracy33.29906370658281
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x))
accuracy0.203125
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
accuracy6.238849978993899
(*.f64 (*.f64 y y) x)
accuracy29.30168476814282
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
accuracy33.29906370658281
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
accuracy55.65994821209733
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
accuracy0.0
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y)))
accuracy0.0
(sin.f64 y)
accuracy0.15625
(*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))))
accuracy0.2265625
(*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))
Samples
136.0ms114×1valid
65.0ms142×0valid
Compiler

Compiled 177 to 43 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 176.0ms
ival-sin: 63.0ms (35.7% of total)
ival-add: 34.0ms (19.3% of total)
ival-mult: 33.0ms (18.7% of total)
ival-div: 14.0ms (7.9% of total)
const: 12.0ms (6.8% of total)
adjust: 7.0ms (4% of total)
ival-cos: 7.0ms (4% of total)
ival-sub: 2.0ms (1.1% of total)
ival-neg: 2.0ms (1.1% of total)
ival-pi: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series51.0ms (0.8%)

Memory
5.8MiB live, 50.7MiB allocated
Counts
18 → 44
Calls
Call 1
Inputs
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))
(*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))))
(/.f64 #s(literal -1 binary64) y)
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(*.f64 (*.f64 y y) x)
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x)
(*.f64 y x)
(*.f64 y #s(literal -1/6 binary64))
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
(*.f64 y y)
(sin.f64 y)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
Outputs
(/ (* x (sin y)) y)
(/ (* x (+ (sin y) (* (cos y) (sin (neg (PI)))))) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* x (pow y 2))
(* x y)
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
-1
(- (* 1/6 (pow y 2)) 1)
(- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)
(- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ -1 y)
(/ (* x (sin (neg (PI)))) y)
(/ (+ (* x y) (* x (sin (neg (PI))))) y)
(/ (+ (* x (sin (neg (PI)))) (* y (+ x (* -1/2 (* x (* y (sin (neg (PI))))))))) y)
(/ (+ (* x (sin (neg (PI)))) (* y (+ x (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* -1/6 (* x y))))))) y)
(* -1/6 y)
(pow y 2)
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))))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(/ (sin y) y)
(* -1 (/ (sin y) y))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(sin y)
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
Calls

6 calls:

TimeVariablePointExpression
31.0ms
y
@0
((- 0 (* (/ -1 y) (sin y))) (* (/ -1 y) (sin y)) (* x (- 0 (* (/ -1 y) (sin y)))) (/ -1 y) (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* y x) (* y -1/6)) x) (* y x) (* y -1/6) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (* y y) (sin y) (+ (* -1/5040 (* y y)) 1/120))
4.0ms
x
@-inf
((- 0 (* (/ -1 y) (sin y))) (* (/ -1 y) (sin y)) (* x (- 0 (* (/ -1 y) (sin y)))) (/ -1 y) (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* y x) (* y -1/6)) x) (* y x) (* y -1/6) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (* y y) (sin y) (+ (* -1/5040 (* y y)) 1/120))
4.0ms
x
@0
((- 0 (* (/ -1 y) (sin y))) (* (/ -1 y) (sin y)) (* x (- 0 (* (/ -1 y) (sin y)))) (/ -1 y) (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* y x) (* y -1/6)) x) (* y x) (* y -1/6) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (* y y) (sin y) (+ (* -1/5040 (* y y)) 1/120))
4.0ms
y
@inf
((- 0 (* (/ -1 y) (sin y))) (* (/ -1 y) (sin y)) (* x (- 0 (* (/ -1 y) (sin y)))) (/ -1 y) (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* y x) (* y -1/6)) x) (* y x) (* y -1/6) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (* y y) (sin y) (+ (* -1/5040 (* y y)) 1/120))
4.0ms
x
@inf
((- 0 (* (/ -1 y) (sin y))) (* (/ -1 y) (sin y)) (* x (- 0 (* (/ -1 y) (sin y)))) (/ -1 y) (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* y x) (* y -1/6)) x) (* y x) (* y -1/6) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (* y y) (sin y) (+ (* -1/5040 (* y y)) 1/120))

simplify148.0ms (2.3%)

Memory
22.9MiB live, 255.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124420
1398416
21366393
35002392
08214366
Stop Event
iter limit
node limit
Counts
44 → 42
Calls
Call 1
Inputs
(/ (* x (sin y)) y)
(/ (* x (+ (sin y) (* (cos y) (sin (neg (PI)))))) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* x (pow y 2))
(* x y)
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
-1
(- (* 1/6 (pow y 2)) 1)
(- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)
(- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ -1 y)
(/ (* x (sin (neg (PI)))) y)
(/ (+ (* x y) (* x (sin (neg (PI))))) y)
(/ (+ (* x (sin (neg (PI)))) (* y (+ x (* -1/2 (* x (* y (sin (neg (PI))))))))) y)
(/ (+ (* x (sin (neg (PI)))) (* y (+ x (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* -1/6 (* x y))))))) y)
(* -1/6 y)
(pow y 2)
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))))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(/ (sin y) y)
(* -1 (/ (sin y) y))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(sin y)
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
Outputs
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (+ (sin y) (* (cos y) (sin (neg (PI)))))) y)
(/.f64 (fma.f64 (sin.f64 y) x #s(literal 0 binary64)) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x y)
(*.f64 x y)
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 (*.f64 y y) x) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/6 (pow y 2)) 1)
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))
(- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (* x (sin (neg (PI)))) y)
#s(literal 0 binary64)
(/ (+ (* x y) (* x (sin (neg (PI))))) y)
x
(/ (+ (* x (sin (neg (PI)))) (* y (+ x (* -1/2 (* x (* y (sin (neg (PI))))))))) y)
x
(/ (+ (* x (sin (neg (PI)))) (* y (+ x (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* -1/6 (* x y))))))) y)
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(pow y 2)
(*.f64 y y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y)
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(* -1 (/ (sin y) y))
(/.f64 (sin.f64 y) (neg.f64 y))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* -1/5040 (* x (pow y 6)))
(*.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal -1/5040 binary64))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal -1/5040 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64))) x (*.f64 x (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal -1/5040 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64))) x (fma.f64 x (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal -1/5040 binary64)) (/.f64 x (pow.f64 y #s(literal 6 binary64))))) (pow.f64 y #s(literal 6 binary64)))
(sin y)
(sin.f64 y)
(* -1/5040 (pow y 2))
(*.f64 #s(literal -1/5040 binary64) (*.f64 y y))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) y) y)

rewrite271.0ms (4.1%)

Memory
-39.9MiB live, 308.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046180
066176
1254165
21840160
09248160
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 019
Calls
Call 1
Inputs
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))
(*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))))
(/.f64 #s(literal -1 binary64) y)
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(*.f64 (*.f64 y y) x)
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x)
(*.f64 y x)
(*.f64 y #s(literal -1/6 binary64))
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)
(*.f64 y y)
(sin.f64 y)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 (cos.f64 y) #s(literal 0 binary64) (sin.f64 y)) (neg.f64 (sin.f64 y))) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) #s(literal 0 binary64) (sin.f64 y)))) (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) #s(literal 0 binary64) (sin.f64 y))))) (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (sin.f64 y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (sin.f64 y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
(/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 y) y) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) y) #s(literal 2 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) y)))))
(/.f64 (fma.f64 (cos.f64 y) #s(literal 0 binary64) (neg.f64 (neg.f64 (sin.f64 y)))) y)
(/.f64 (+.f64 (neg.f64 (neg.f64 (sin.f64 y))) (*.f64 (cos.f64 y) #s(literal 0 binary64))) y)
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) y) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)))) (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (cos.f64 y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) y) (/.f64 (sin.f64 y) y))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (neg.f64 y) (*.f64 y (neg.f64 (sin.f64 y))))) (*.f64 y y))
(/.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) y (*.f64 y (sin.f64 y)))) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))))) (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal 3 binary64)))) (pow.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 (sin.f64 y) #s(literal -1 binary64) (sin.f64 (-.f64 (neg.f64 (PI.f64)) y))) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 (sin.f64 y) #s(literal -1 binary64) (sin.f64 (-.f64 (neg.f64 (PI.f64)) y))) (neg.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (neg.f64 (sin.f64 y))))) (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (fma.f64 (sin.f64 y) #s(literal -1 binary64) (sin.f64 (-.f64 (neg.f64 (PI.f64)) y))) (/.f64 (sin.f64 y) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (sin.f64 y) y)))
(/.f64 (-.f64 (*.f64 (fma.f64 (sin.f64 y) #s(literal -1 binary64) (sin.f64 (-.f64 (neg.f64 (PI.f64)) y))) y) (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (sin.f64 y)))) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(/.f64 (-.f64 (*.f64 (fma.f64 (sin.f64 y) #s(literal -1 binary64) (sin.f64 (-.f64 (neg.f64 (PI.f64)) y))) (neg.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (sin.f64 y))) (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (pow.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 (neg.f64 (sin.f64 y))))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y)) (*.f64 (neg.f64 y) (neg.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))))) (*.f64 (neg.f64 y) (/.f64 (sin.f64 y) y)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) y) (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (neg.f64 y)) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))) (*.f64 y (pow.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal 3 binary64)))) (*.f64 y (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (neg.f64 y)) (*.f64 y (neg.f64 (neg.f64 (sin.f64 y))))) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y)) (*.f64 y (neg.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))))) (*.f64 y (/.f64 (sin.f64 y) y)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) y) (*.f64 y (neg.f64 (sin.f64 y)))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (neg.f64 y)) (*.f64 y (sin.f64 y))) (*.f64 y (neg.f64 y)))
(/.f64 (fma.f64 (fma.f64 (sin.f64 y) #s(literal -1 binary64) (sin.f64 (-.f64 (neg.f64 (PI.f64)) y))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y))))))
(/.f64 (fma.f64 (fma.f64 (sin.f64 y) #s(literal -1 binary64) (sin.f64 (-.f64 (neg.f64 (PI.f64)) y))) (neg.f64 (neg.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (neg.f64 (sin.f64 y))))) (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (neg.f64 y))))
(/.f64 (fma.f64 (fma.f64 (sin.f64 y) #s(literal -1 binary64) (sin.f64 (-.f64 (neg.f64 (PI.f64)) y))) y (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (neg.f64 (sin.f64 y))))) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(/.f64 (fma.f64 (fma.f64 (sin.f64 y) #s(literal -1 binary64) (sin.f64 (-.f64 (neg.f64 (PI.f64)) y))) (/.f64 (sin.f64 y) y) (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)))))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (sin.f64 y) y)))
(/.f64 (fma.f64 (fma.f64 (sin.f64 y) #s(literal -1 binary64) (sin.f64 (-.f64 (neg.f64 (PI.f64)) y))) (neg.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (fma.f64 (sin.f64 y) #s(literal -1 binary64) (sin.f64 (-.f64 (neg.f64 (PI.f64)) y))) (/.f64 (sin.f64 y) (neg.f64 y)) (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (sin.f64 y) (neg.f64 y))))
(/.f64 (fma.f64 (fma.f64 (sin.f64 y) #s(literal -1 binary64) (sin.f64 (-.f64 (neg.f64 (PI.f64)) y))) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))))
(/.f64 (fma.f64 (fma.f64 (sin.f64 y) #s(literal -1 binary64) (sin.f64 (-.f64 (neg.f64 (PI.f64)) y))) (neg.f64 y) (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (sin.f64 y)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 y)))
(/.f64 (fma.f64 (fma.f64 (sin.f64 y) #s(literal -1 binary64) (sin.f64 (-.f64 (neg.f64 (PI.f64)) y))) y (*.f64 (*.f64 #s(literal 2 binary64) y) (sin.f64 y))) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(/.f64 (fma.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y)))) (*.f64 (neg.f64 y) (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64))))) (*.f64 (neg.f64 y) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y))))))
(/.f64 (fma.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 (neg.f64 (sin.f64 y))))) (*.f64 (neg.f64 y) (neg.f64 (neg.f64 y))))
(/.f64 (fma.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) y (*.f64 (neg.f64 y) (neg.f64 (neg.f64 (sin.f64 y))))) (*.f64 (neg.f64 y) y))
(/.f64 (fma.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y) (*.f64 (neg.f64 y) (neg.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)))))) (*.f64 (neg.f64 y) (/.f64 (sin.f64 y) y)))
(/.f64 (fma.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (neg.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (neg.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64))))) (*.f64 (neg.f64 y) (neg.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))))) (*.f64 (neg.f64 y) (/.f64 (sin.f64 y) (neg.f64 y))))
(/.f64 (fma.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))))
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(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64))))
(-.f64 #s(literal 1/120 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/5040 binary64) y)) y))
(-.f64 #s(literal 1/120 binary64) (*.f64 (neg.f64 (*.f64 y y)) #s(literal -1/5040 binary64)))
(-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)))
(+.f64 (/.f64 #s(literal 1/1728000 binary64) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) (/.f64 #s(literal 1/1728000 binary64) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))
(+.f64 (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))
(+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)))

eval180.0ms (2.7%)

Memory
27.5MiB live, 250.4MiB allocated
Compiler

Compiled 29 965 to 3 700 computations (87.7% saved)

prune55.0ms (0.8%)

Memory
-13.7MiB live, 90.0MiB allocated
Pruning

21 alts after pruning (10 fresh and 11 done)

PrunedKeptTotal
New1 10351 108
Fresh257
Picked145
Done077
Total1 106211 127
Accuracy
100.0%
Counts
1 127 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.3%
(/.f64 (*.f64 (sin.f64 y) x) y)
74.6%
(/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))) x) (/.f64 (sin.f64 y) (neg.f64 y)))
39.4%
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
74.5%
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (*.f64 (sin.f64 y) y)))
92.7%
(*.f64 (/.f64 x y) (sin.f64 y))
53.9%
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 x (*.f64 (sin.f64 y) y)))
67.1%
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)))
92.6%
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (sin.f64 y))
99.7%
(*.f64 x (/.f64 (sin.f64 y) y))
99.6%
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
47.9%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
90.1%
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (sin.f64 y) x)))
48.0%
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x))
2.8%
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
2.8%
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64))))
2.8%
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y))))
2.8%
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x y)))))
48.9%
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) x)
13.0%
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
47.9%
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
48.0%
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
Compiler

Compiled 767 to 380 computations (50.5% saved)

regimes39.0ms (0.6%)

Memory
21.4MiB live, 109.4MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) x)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x y)))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (sin.f64 y))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (sin.f64 y) x)))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
(*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))))
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (/.f64 x (*.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 x (*.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (*.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y))
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 2 binary64))) x) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 x (/.f64 (-.f64 (-.f64 (sin.f64 y) (/.f64 (sin.f64 (-.f64 (neg.f64 (PI.f64)) y)) #s(literal 2 binary64))) (/.f64 (sin.f64 (-.f64 y (PI.f64))) #s(literal 2 binary64))) y))
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) y))
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
Calls

4 calls:

11.0ms
x
11.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
8.0ms
y
8.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1(*.f64 x (/.f64 (sin.f64 y) y))
99.7%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes20.0ms (0.3%)

Memory
18.4MiB live, 65.2MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) x)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x y)))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
Outputs
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
Calls

4 calls:

6.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms
x
4.0ms
y
4.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
48.9%1x
58.2%2y
58.1%2(*.f64 x (/.f64 (sin.f64 y) y))
58.2%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes95.0ms (1.4%)

Memory
-64.5MiB live, 110.1MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) x)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x y)))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y x)) y x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
Outputs
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) x)
Calls

3 calls:

42.0ms
y
6.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
58.1%2(*.f64 x (/.f64 (sin.f64 y) y))
58.1%2(/.f64 (sin.f64 y) y)
58.1%2y
Compiler

Compiled 11 to 11 computations (0% saved)

regimes5.0ms (0.1%)

Memory
25.0MiB live, 25.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
Outputs
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
Calls

4 calls:

1.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
1.0ms
x
1.0ms
y
1.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
13.0%1x
13.0%1y
13.0%1(/.f64 (sin.f64 y) y)
13.0%1(*.f64 x (/.f64 (sin.f64 y) y))
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch4.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
4.0ms
2085.0675206356336
2457.5610756843976
Samples
2.0ms32×0valid
Compiler

Compiled 93 to 74 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sin: 1.0ms (59.5% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.8223359611956579e-295
7.154188636361328e-287
Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify97.0ms (1.5%)

Memory
-34.3MiB live, 63.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037104
16396
212784
333976
480976
5158676
6328576
7611076
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(if (<=.f64 y #s(literal 2200 binary64)) #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64)))
(if (<=.f64 (*.f64 x (/.f64 (sin.f64 y) y)) #s(literal 4602094425247529/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648 binary64)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) x))
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(if (<=.f64 y #s(literal 2200 binary64)) #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64)))
(if (<=.f64 y #s(literal 2200 binary64)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64)))
(if (<=.f64 (*.f64 x (/.f64 (sin.f64 y) y)) #s(literal 4602094425247529/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648 binary64)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64)) #s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) x))
#s(approx (* x (/ (+ (* (sin (neg (PI))) (cos y)) (* 1 (sin y))) y)) #s(literal 0 binary64))

soundness687.0ms (10.4%)

Memory
15.4MiB live, 527.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
0812
11412
23712
314512
484112
0840412
043150
1142150
2478140
32043138
44988138
08032124
0153514
1541486
22066420
37023420
08302384
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 149 to 66 computations (55.7% saved)

preprocess90.0ms (1.4%)

Memory
12.9MiB live, 124.2MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 302 to 120 computations (60.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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