Linear.Quaternion:$cexp from linear-1.19.1.3

Time bar (total: 8.8s)

analyze13.0ms (0.1%)

Memory
-9.2MiB live, 30.1MiB 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)

sample820.0ms (9.3%)

Memory
-9.4MiB live, 1 297.7MiB allocated
Samples
577.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 400.0ms
ival-sin: 255.0ms (63.8% of total)
ival-div: 71.0ms (17.8% of total)
ival-mult: 64.0ms (16% of total)
ival-true: 6.0ms (1.5% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess56.0ms (0.6%)

Memory
7.8MiB live, 46.9MiB allocated
Algorithm
egg-herbie
Rules
600×times-frac
296×associate-*r*
278×associate-*l*
182×unsub-neg
180×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01536
14632
212232
332332
4110732
5181132
6190432
7193832
8196632
9197832
10197832
056
086
1116
2136
3156
4166
0166
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
Symmetry

(abs y)

(negabs x)

explain73.0ms (0.8%)

Memory
5.1MiB live, 121.4MiB 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
36.0ms512×0valid
Compiler

Compiled 48 to 24 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sin: 12.0ms (51.8% of total)
ival-div: 7.0ms (30.2% of total)
ival-mult: 3.0ms (13% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify4.0ms (0%)

Memory
5.1MiB live, 5.1MiB 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))
Rules
12×lower-*.f32
10×lower-*.f64
*-commutative
lower-/.f32
lower-/.f64
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 x (sin.f64 y)) y)
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y

localize37.0ms (0.4%)

Memory
-9.3MiB live, 27.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(/.f64 (sin.f64 y) y)
accuracy99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
Samples
16.0ms256×0valid
Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sin: 6.0ms (62.2% of total)
ival-div: 2.0ms (20.7% of total)
ival-mult: 2.0ms (20.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#<alt (*.f64 x (/.f64 (sin.f64 y) y))>
#<alt (/.f64 (sin.f64 y) y)>
#<alt (sin.f64 y)>
Outputs
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
Calls

12 calls:

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

simplify697.0ms (7.9%)

Memory
-14.8MiB live, 510.1MiB allocated
Algorithm
egg-herbie
Rules
16 120×lower-fma.f64
16 120×lower-fma.f32
4 374×lower-*.f64
4 374×lower-*.f32
2 386×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043306
1118306
2310296
3910294
41439294
52227294
63349294
73639294
84369294
96831294
08504276
Stop Event
iter limit
node limit
Counts
48 → 46
Calls
Call 1
Inputs
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
Outputs
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)

rewrite102.0ms (1.2%)

Memory
19.3MiB live, 94.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
836×lower-*.f32
834×lower-*.f64
718×lower-/.f32
716×lower-/.f64
220×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
0812
11912
27212
333612
0179812
Stop Event
iter limit
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 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) (/.f64 (*.f64 x (sin.f64 y)) y))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (/.f64 (*.f64 x (sin.f64 y)) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x (sin.f64 y)) y))
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64) (/.f64 (*.f64 x (sin.f64 y)) y))
(neg.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 y (sin.f64 y))))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x (sin.f64 y)))))
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (*.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (neg.f64 x) y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 (neg.f64 x) y)) (sin.f64 y))
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(*.f64 (neg.f64 (*.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 x))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (sin.f64 y))))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) x))
(*.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)) #s(literal -1 binary64))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 x (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y))
(*.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
(+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (sin.f64 y)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 y) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y))
(neg.f64 (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) y))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) #s(literal 1 binary64)) (*.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) #s(literal -1 binary64)) (*.f64 (sin.f64 y) y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 y (sin.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (sin.f64 y) y)) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 y) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 (/.f64 (sin.f64 y) y)))) (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal -1 binary64) y)) (sin.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(+.f64 (sin.f64 y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (neg.f64 y))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 y))))
(sin.f64 y)
(fma.f64 (sin.f64 y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(neg.f64 (neg.f64 (sin.f64 y)))
(neg.f64 (sin.f64 (neg.f64 y)))
(/.f64 (sin.f64 y) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (neg.f64 (sin.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)))

eval21.0ms (0.2%)

Memory
9.5MiB live, 47.5MiB allocated
Compiler

Compiled 2 248 to 440 computations (80.4% saved)

prune33.0ms (0.4%)

Memory
-6.5MiB live, 73.1MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New18811199
Fresh000
Picked011
Done000
Total18812200
Accuracy
100.0%
Counts
200 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(/.f64 (*.f64 x (sin.f64 y)) y)
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
89.6%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
89.1%
(*.f64 (/.f64 x y) (sin.f64 y))
89.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y)))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
99.7%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
99.7%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
48.2%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
49.0%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
48.1%
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
48.2%
#s(approx (* x (/ (sin y) y)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
Compiler

Compiled 224 to 143 computations (36.2% saved)

simplify8.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) (sin.f64 y))
cost-diff0
(*.f64 y #s(literal -1/6 binary64))
cost-diff0
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 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 y (sin.f64 y))
cost-diff384
(/.f64 x (/.f64 y (sin.f64 y)))
Rules
90×lower-*.f32
78×lower-*.f64
30×associate-*l*
28×associate-*r*
24×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020102
03398
15198
26898
39398
410798
511498
611598
011598
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
x
(/.f64 y (sin.f64 y))
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)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
x
#s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
y
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
x
y
(sin.f64 y)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
x
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sin.f64 y)
Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 x (sin.f64 y)) y)
x
(/.f64 y (sin.f64 y))
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)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
x
#s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
y
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 x y)
x
y
(sin.f64 y)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
(/.f64 (*.f64 x (sin.f64 y)) y)
x
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sin.f64 y)

localize106.0ms (1.2%)

Memory
0.0MiB live, 165.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(sin.f64 y)
accuracy89.1%
(*.f64 (/.f64 x y) (sin.f64 y))
accuracy99.9%
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
accuracy99.8%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
accuracy99.5%
(*.f64 y #s(literal -1/6 binary64))
accuracy48.0%
#s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
accuracy99.8%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy48.7%
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy100.0%
(sin.f64 y)
accuracy99.9%
(/.f64 x (/.f64 y (sin.f64 y)))
accuracy99.8%
(/.f64 y (sin.f64 y))
Samples
78.0ms256×0valid
Compiler

Compiled 87 to 19 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 9.0ms (30.9% of total)
ival-div: 8.0ms (27.4% of total)
ival-sin: 7.0ms (24% of total)
const: 4.0ms (13.7% of total)
ival-add: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-16.5MiB live, 21.5MiB allocated
Counts
14 → 240
Calls
Call 1
Inputs
#<alt (/.f64 x (/.f64 y (sin.f64 y)))>
#<alt (/.f64 y (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))>
#<alt #s(approx (/ (sin y) y) #s(literal 1 binary64))>
#<alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 y #s(literal -1/6 binary64))>
#<alt (*.f64 (/.f64 x y) (sin.f64 y))>
#<alt (/.f64 x y)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))>
#<alt (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))>
#<alt (/.f64 #s(literal 1 binary64) y)>
Outputs
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
Calls

60 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ x (/ y (sin y)))
1.0ms
y
@-inf
(* y -1/6)
0.0ms
y
@-inf
(/ y (sin y))
0.0ms
y
@inf
(/ y (sin y))
0.0ms
y
@inf
(+ (* y (* y -1/6)) 1)

simplify678.0ms (7.7%)

Memory
-16.2MiB live, 623.0MiB allocated
Algorithm
egg-herbie
Rules
15 214×lower-fma.f64
15 214×lower-fma.f32
4 570×lower-*.f64
4 570×lower-*.f32
2 430×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0641428
11691428
24441402
312741392
419821392
529331392
641281392
761671392
875741392
081411323
Stop Event
iter limit
node limit
Counts
240 → 234
Calls
Call 1
Inputs
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
Outputs
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
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) (+ 1/6 (* 7/360 (pow y 2)))))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) 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 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) 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 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) 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 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
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 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ (* x (sin y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)

rewrite607.0ms (6.9%)

Memory
16.7MiB live, 525.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 022×lower-*.f32
5 010×lower-*.f64
4 386×lower-fma.f32
4 384×lower-fma.f64
3 800×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02085
03381
18981
237681
3239981
0860981
Stop Event
iter limit
node limit
iter limit
Counts
14 → 618
Calls
Call 1
Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal -1/6 binary64))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) y)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (neg.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(neg.f64 (neg.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) x))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (sin.f64 y))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 (sin.f64 y) y)))))
(neg.f64 (*.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) #s(literal 1 binary64))
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(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 x (neg.f64 y)))
(*.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (sin.f64 y)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(exp.f64 (neg.f64 (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))

eval153.0ms (1.7%)

Memory
-11.7MiB live, 210.8MiB allocated
Compiler

Compiled 12 926 to 1 383 computations (89.3% saved)

prune195.0ms (2.2%)

Memory
6.3MiB live, 166.3MiB allocated
Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New89515910
Fresh246
Picked055
Done011
Total89725922
Accuracy
100.0%
Counts
922 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(/.f64 (*.f64 x (sin.f64 y)) y)
88.9%
(/.f64 (sin.f64 y) (/.f64 y x))
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
58.5%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
58.7%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
58.5%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
89.6%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
89.1%
(*.f64 (/.f64 x y) (sin.f64 y))
38.5%
(*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
89.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y)))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
99.7%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
99.7%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
47.8%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (/.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
47.7%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
48.2%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))))
48.2%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
47.4%
(*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
47.7%
(*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
47.7%
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
47.8%
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
47.8%
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
3.1%
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
49.0%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
48.1%
#s(approx (/ x (/ y (sin y))) (fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x))
Compiler

Compiled 767 to 419 computations (45.4% saved)

simplify259.0ms (2.9%)

Memory
-11.4MiB live, 142.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
cost-diff0
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
cost-diff128
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
cost-diff1728
(fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
cost-diff0
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))
cost-diff0
#s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
cost-diff0
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
cost-diff320
(*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
cost-diff0
(fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin y) y) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))))
cost-diff1088
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y))
cost-diff0
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
cost-diff0
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
cost-diff0
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
cost-diff0
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 y (sin.f64 y))
cost-diff0
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
Rules
2 916×lower-fma.f32
2 908×lower-fma.f64
2 376×lower-*.f32
2 352×lower-*.f64
2 032×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042397
070361
1124347
2218334
3570318
41618318
54183318
66046318
77531318
08449311
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
x
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
#s(literal 1 binary64)
(/.f64 y (sin.f64 y))
y
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
x
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
#s(literal -1/6 binary64)
(*.f64 y y)
y
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))))
x
#s(approx (/ (sin y) y) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)))
(fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
y
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y))
#s(literal 1/6 binary64)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
x
#s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))
(*.f64 y y)
y
(*.f64 (*.f64 y y) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
x
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
y
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
#s(literal 1 binary64)
Outputs
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 x (sin.f64 y)) y)
x
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) y)
#s(literal 1 binary64)
(/.f64 y (sin.f64 y))
y
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
x
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
#s(literal -1/6 binary64)
(*.f64 y y)
y
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
x
#s(approx (/ (sin y) y) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
y
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 y #s(literal -1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
x
#s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (sin y) y) (/.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))
(fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64))
(*.f64 y y)
y
(*.f64 (*.f64 y y) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
x
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (sin y) y) (/.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
y
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
#s(literal 1 binary64)

localize269.0ms (3%)

Memory
22.1MiB live, 229.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
accuracy99.5%
(*.f64 y #s(literal -1/6 binary64))
accuracy64.6%
(fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
accuracy48.0%
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
accuracy99.5%
(*.f64 y #s(literal -1/6 binary64))
accuracy64.6%
(*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
accuracy48.0%
#s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
accuracy99.9%
(fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
accuracy99.8%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))))
accuracy99.4%
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y))
accuracy48.0%
#s(approx (/ (sin y) y) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)))
accuracy99.8%
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
accuracy99.7%
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
accuracy53.7%
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
accuracy48.0%
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
accuracy99.8%
(/.f64 y (sin.f64 y))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
Samples
77.0ms256×0valid
Compiler

Compiled 264 to 36 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 19.0ms (34.6% of total)
ival-div: 12.0ms (21.8% of total)
const: 9.0ms (16.4% of total)
ival-sin: 8.0ms (14.6% of total)
ival-add: 6.0ms (10.9% of total)
ival-neg: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
-20.7MiB live, 17.5MiB allocated
Counts
22 → 324
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))>
#<alt (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))>
#<alt (/.f64 y (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))>
#<alt #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))>
#<alt #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y))>
#<alt (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y))>
#<alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))))>
#<alt #s(approx (/ (sin y) y) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)))>
#<alt (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))>
#<alt (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))>
#<alt (*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))>
#<alt #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))>
#<alt (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))>
#<alt (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))>
#<alt (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))>
#<alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))>
#<alt #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))>
#<alt (*.f64 y #s(literal -1/6 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt -1>
#<alt (- (* 1/36 (pow y 4)) 1)>
#<alt (- (* 1/36 (pow y 4)) 1)>
#<alt (- (* 1/36 (pow y 4)) 1)>
#<alt (* 1/36 (pow y 4))>
#<alt (* (pow y 4) (- 1/36 (/ 1 (pow y 4))))>
#<alt (* (pow y 4) (- 1/36 (/ 1 (pow y 4))))>
#<alt (* (pow y 4) (- 1/36 (/ 1 (pow y 4))))>
#<alt (* 1/36 (pow y 4))>
#<alt (* (pow y 4) (- 1/36 (/ 1 (pow y 4))))>
#<alt (* (pow y 4) (- 1/36 (/ 1 (pow y 4))))>
#<alt (* (pow y 4) (- 1/36 (/ 1 (pow y 4))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/36 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/36 (* -1/216 (pow y 2)))) 1/6)))>
#<alt (/ 6 (pow y 2))>
#<alt (/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))>
#<alt (/ 6 (pow y 2))>
#<alt (/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt -1>
#<alt (- (* 1/6 (pow y 2)) 1)>
#<alt (- (* (pow y 2) (+ 1/6 (* -1/36 (pow y 2)))) 1)>
#<alt (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/216 (pow y 2)) 1/36)))) 1)>
#<alt (/ -6 (pow y 2))>
#<alt (/ (- (* 36 (/ 1 (pow y 2))) 6) (pow y 2))>
#<alt (/ (- (* 36 (/ 1 (pow y 2))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))>
#<alt (/ (- (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6)))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))>
#<alt (/ -6 (pow y 2))>
#<alt (/ (- (* 36 (/ 1 (pow y 2))) 6) (pow y 2))>
#<alt (/ (- (* 36 (/ 1 (pow y 2))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))>
#<alt (/ (- (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6)))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))>
Calls

81 calls:

TimeVariablePointExpression
12.0ms
y
@inf
(* -1/6 (* y y))
1.0ms
y
@inf
(* (+ (* (* y y) (* (* y y) 1/36)) -1) (/ 1 (+ (* y (* y -1/6)) -1)))
1.0ms
y
@inf
(+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (neg (/ 1 (+ (* y (* y -1/6)) -1))))
0.0ms
y
@0
(+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (neg (/ 1 (+ (* y (* y -1/6)) -1))))
0.0ms
y
@0
(* (+ (* (* y y) (* (* y y) 1/36)) -1) (/ 1 (+ (* y (* y -1/6)) -1)))

simplify625.0ms (7.1%)

Memory
14.6MiB live, 483.8MiB allocated
Algorithm
egg-herbie
Rules
12 578×lower-fma.f64
12 578×lower-fma.f32
3 754×lower-*.f64
3 754×lower-*.f32
2 560×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01212160
13112160
28252134
323772124
444712124
568842124
080901995
Stop Event
iter limit
node limit
Counts
324 → 318
Calls
Call 1
Inputs
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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
-1
(- (* 1/36 (pow y 4)) 1)
(- (* 1/36 (pow y 4)) 1)
(- (* 1/36 (pow y 4)) 1)
(* 1/36 (pow y 4))
(* (pow y 4) (- 1/36 (/ 1 (pow y 4))))
(* (pow y 4) (- 1/36 (/ 1 (pow y 4))))
(* (pow y 4) (- 1/36 (/ 1 (pow y 4))))
(* 1/36 (pow y 4))
(* (pow y 4) (- 1/36 (/ 1 (pow y 4))))
(* (pow y 4) (- 1/36 (/ 1 (pow y 4))))
(* (pow y 4) (- 1/36 (/ 1 (pow y 4))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/36 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/36 (* -1/216 (pow y 2)))) 1/6)))
(/ 6 (pow y 2))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
(/ 6 (pow y 2))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
-1
(- (* 1/6 (pow y 2)) 1)
(- (* (pow y 2) (+ 1/6 (* -1/36 (pow y 2)))) 1)
(- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/216 (pow y 2)) 1/36)))) 1)
(/ -6 (pow y 2))
(/ (- (* 36 (/ 1 (pow y 2))) 6) (pow y 2))
(/ (- (* 36 (/ 1 (pow y 2))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))
(/ (- (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6)))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))
(/ -6 (pow y 2))
(/ (- (* 36 (/ 1 (pow y 2))) 6) (pow y 2))
(/ (- (* 36 (/ 1 (pow y 2))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))
(/ (- (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6)))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))
Outputs
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 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(+ 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 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
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(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
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) (- (* 1/36 (pow y 2)) 1/6)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/36 (* -1/216 (pow y 2)))) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/216 binary64)) #s(literal 1/36 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/ 6 (pow y 2))
(/.f64 #s(literal 6 binary64) (*.f64 y y))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y))) (*.f64 y y))
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 216 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -36 binary64) (*.f64 y y)))) (*.f64 y y))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (+.f64 (/.f64 #s(literal 216 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -36 binary64) (*.f64 y y))) (/.f64 #s(literal -1296 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y y))
(/ 6 (pow y 2))
(/.f64 #s(literal 6 binary64) (*.f64 y y))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y))) (*.f64 y y))
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 216 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -36 binary64) (*.f64 y y)))) (*.f64 y y))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (+.f64 (/.f64 #s(literal 216 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -36 binary64) (*.f64 y y))) (/.f64 #s(literal -1296 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(+ 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 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x 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 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
-1
#s(literal -1 binary64)
(- (* 1/6 (pow y 2)) 1)
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))
(- (* (pow y 2) (+ 1/6 (* -1/36 (pow y 2)))) 1)
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/36 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/216 (pow y 2)) 1/36)))) 1)
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/216 binary64) #s(literal -1/36 binary64))) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(/ -6 (pow y 2))
(/.f64 #s(literal -6 binary64) (*.f64 y y))
(/ (- (* 36 (/ 1 (pow y 2))) 6) (pow y 2))
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 y y)) #s(literal -6 binary64)) (*.f64 y y))
(/ (- (* 36 (/ 1 (pow y 2))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 y y)) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -216 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y y))
(/ (- (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6)))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1296 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -216 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y y))
(/ -6 (pow y 2))
(/.f64 #s(literal -6 binary64) (*.f64 y y))
(/ (- (* 36 (/ 1 (pow y 2))) 6) (pow y 2))
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 y y)) #s(literal -6 binary64)) (*.f64 y y))
(/ (- (* 36 (/ 1 (pow y 2))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 y y)) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -216 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 y y))
(/ (- (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6)))) (+ 6 (/ 216 (pow y 4)))) (pow y 2))
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 y y)) (+.f64 (/.f64 #s(literal 1296 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -216 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y y))

rewrite598.0ms (6.8%)

Memory
2.6MiB live, 957.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 926×lower-fma.f32
6 918×lower-fma.f64
5 318×lower-/.f32
5 306×lower-/.f64
4 680×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042309
070191
1223188
21321188
08494187
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 489
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)))
(fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(*.f64 y #s(literal -1/6 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (sin.f64 y) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64))) (neg.f64 y))
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sin.f64 y) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (*.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 x (neg.f64 (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (*.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (neg.f64 (sin.f64 y)) x)))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (sin.f64 y)) x)))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 x (neg.f64 (sin.f64 y))) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 y (sin.f64 y)))
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (/.f64 y (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (sin.f64 y)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (/.f64 y (sin.f64 y)))
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eval317.0ms (3.6%)

Memory
18.3MiB live, 609.4MiB allocated
Compiler

Compiled 76 802 to 3 094 computations (96% saved)

prune221.0ms (2.5%)

Memory
-17.6MiB live, 433.7MiB allocated
Pruning

29 alts after pruning (22 fresh and 7 done)

PrunedKeptTotal
New1 955151 970
Fresh7714
Picked325
Done156
Total1 966291 995
Accuracy
100.0%
Counts
1 995 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(/.f64 (*.f64 (sin.f64 y) x) y)
88.9%
(/.f64 (sin.f64 y) (/.f64 y x))
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
58.5%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
58.7%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
58.5%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
89.6%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x)))
89.1%
(*.f64 (/.f64 x y) (sin.f64 y))
38.5%
(*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
89.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
3.1%
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
99.7%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
48.1%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))))
58.7%
(*.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
99.7%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
47.7%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
47.5%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
47.7%
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (*.f64 y #s(literal -1/6 binary64))) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
47.7%
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (*.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
47.7%
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 6 binary64))) #s(literal -1 binary64))))))
47.7%
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))))
47.8%
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
47.8%
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/36 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/36 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
3.1%
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64)))))
3.1%
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
49.0%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
48.1%
#s(approx (/ x (/ y (sin y))) (fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x))
48.2%
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x))
Compiler

Compiled 931 to 499 computations (46.4% saved)

simplify420.0ms (4.8%)

Memory
13.7MiB live, 361.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
cost-diff128
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
cost-diff320
(fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
cost-diff1088
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y))
cost-diff0
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
cost-diff0
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64))))
cost-diff0
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
cost-diff320
(fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64)))
cost-diff0
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64))))
cost-diff0
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64)))))
cost-diff1088
(/.f64 y (/.f64 #s(literal 1 binary64) y))
cost-diff0
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
cost-diff0
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
cost-diff0
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
cost-diff0
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
(/.f64 (*.f64 (sin.f64 y) x) y)
Rules
3 776×lower-fma.f32
3 770×lower-fma.f64
2 736×lower-*.f32
2 716×lower-*.f64
1 312×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045483
073455
1122453
2192427
3499411
41510411
52659411
63600411
74192411
84520411
94560411
104604411
114650411
124957411
135131411
145203411
155224411
165245411
175251411
185251411
195655411
205741411
216159411
226946411
237498411
247526411
257634411
267994411
277994411
287994411
08026399
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
y
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
x
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64)))))
x
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64))))
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64)))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64))
(/.f64 y (/.f64 #s(literal 1 binary64) y))
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal -1/6 binary64)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
x
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64))))
(fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
y
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
x
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
y
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))
(fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y))
#s(literal 1/6 binary64)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))
Outputs
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
y
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
x
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
x
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64))))
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64)))
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64))
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
(/.f64 y (/.f64 #s(literal 1 binary64) y))
(*.f64 y y)
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal -1/6 binary64)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
x
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 y (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64))))
(fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))
(fma.f64 y (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))
y
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
x
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (sin y) y) (fma.f64 y (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 y (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))))
y
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))
(/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 y #s(literal -1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))

localize245.0ms (2.8%)

Memory
3.4MiB live, 371.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(*.f64 y #s(literal -1/6 binary64))
accuracy99.4%
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y))
accuracy64.6%
(fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
accuracy48.0%
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
accuracy99.5%
(*.f64 y #s(literal -1/6 binary64))
accuracy64.6%
(fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))
accuracy48.9%
#s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64))
accuracy48.0%
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64))))
accuracy99.7%
(/.f64 y (/.f64 #s(literal 1 binary64) y))
accuracy99.7%
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64))
accuracy53.7%
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64)))
accuracy48.0%
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64))))
accuracy99.8%
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
accuracy99.5%
(*.f64 y #s(literal -1/6 binary64))
accuracy53.7%
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
accuracy48.0%
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(*.f64 (sin.f64 y) x)
accuracy90.1%
(/.f64 (*.f64 (sin.f64 y) x) y)
Samples
165.0ms256×0valid
Compiler

Compiled 301 to 35 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 33.0ms (47.6% of total)
ival-div: 15.0ms (21.6% of total)
ival-sin: 7.0ms (10.1% of total)
const: 7.0ms (10.1% of total)
ival-add: 5.0ms (7.2% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-16.4MiB live, 20.5MiB allocated
Counts
23 → 348
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (sin.f64 y) x) y)>
#<alt (*.f64 (sin.f64 y) x)>
#<alt (sin.f64 y)>
#<alt (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)>
#<alt #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))>
#<alt #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))>
#<alt (*.f64 y (*.f64 y #s(literal -1/6 binary64)))>
#<alt (/.f64 y (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64)))))>
#<alt #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64))))>
#<alt #s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64)))>
#<alt (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))>
#<alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))>
#<alt #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64))))>
#<alt (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))>
#<alt (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y))>
#<alt (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))>
#<alt (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))>
#<alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))>
#<alt (*.f64 y #s(literal -1/6 binary64))>
#<alt (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64))>
#<alt #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64))>
#<alt #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))>
Outputs
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/36 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/36 (* -1/216 (pow y 2)))) 1/6)))>
#<alt (/ 6 (pow y 2))>
#<alt (/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))>
#<alt (/ 6 (pow y 2))>
#<alt (/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/36 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/36 (* -1/216 (pow y 2)))) 1/6)))>
#<alt (/ 6 (pow y 2))>
#<alt (/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))>
#<alt (/ 6 (pow y 2))>
#<alt (/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
Calls

87 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* (sin y) x)
0.0ms
x
@-inf
(* (sin y) x)
0.0ms
y
@inf
(* (sin y) x)
0.0ms
y
@0
(* y (* y (* y (* y -1/6))))
0.0ms
y
@inf
(* y (* y (* y (* y -1/6))))

simplify438.0ms (5%)

Memory
11.7MiB live, 846.8MiB allocated
Algorithm
egg-herbie
Rules
17 154×lower-fma.f64
17 154×lower-fma.f32
3 964×lower-*.f64
3 964×lower-*.f32
3 090×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0842238
12272238
25972208
317482194
433202194
552052194
671282194
080662080
Stop Event
iter limit
node limit
Counts
348 → 342
Calls
Call 1
Inputs
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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
x
(+ 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -1/6 (pow y 4))
(* -1/6 (pow y 4))
(* -1/6 (pow y 4))
(* -1/6 (pow y 4))
(* -1/6 (pow y 4))
(* -1/6 (pow y 4))
(* -1/6 (pow y 4))
(* -1/6 (pow y 4))
(* -1/6 (pow y 4))
(* -1/6 (pow y 4))
(* -1/6 (pow y 4))
(* -1/6 (pow y 4))
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/36 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/36 (* -1/216 (pow y 2)))) 1/6)))
(/ 6 (pow y 2))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
(/ 6 (pow y 2))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/36 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/36 (* -1/216 (pow y 2)))) 1/6)))
(/ 6 (pow y 2))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
(/ 6 (pow y 2))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
Outputs
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
(* x (sin y))
(*.f64 x (sin.f64 y))
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(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
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) (- (* 1/36 (pow y 2)) 1/6)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/36 (* -1/216 (pow y 2)))) 1/6)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/216 binary64) #s(literal 1/36 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(/ 6 (pow y 2))
(/.f64 #s(literal 6 binary64) (*.f64 y y))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y))) (*.f64 y y))
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y))) (/.f64 #s(literal 216 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 216 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 #s(literal -36 binary64) (*.f64 y y)) (/.f64 #s(literal -1296 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 y y))
(/ 6 (pow y 2))
(/.f64 #s(literal 6 binary64) (*.f64 y y))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y))) (*.f64 y y))
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y))) (/.f64 #s(literal 216 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 216 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 #s(literal -36 binary64) (*.f64 y y)) (/.f64 #s(literal -1296 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 y y))
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #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 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y 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) (- (* 1/36 (pow y 2)) 1/6)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/36 (* -1/216 (pow y 2)))) 1/6)))
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/216 binary64) #s(literal 1/36 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(/ 6 (pow y 2))
(/.f64 #s(literal 6 binary64) (*.f64 y y))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y))) (*.f64 y y))
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y))) (/.f64 #s(literal 216 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 216 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 #s(literal -36 binary64) (*.f64 y y)) (/.f64 #s(literal -1296 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 y y))
(/ 6 (pow y 2))
(/.f64 #s(literal 6 binary64) (*.f64 y y))
(/ (- 6 (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y))) (*.f64 y y))
(/ (- (+ 6 (/ 216 (pow y 4))) (* 36 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y))) (/.f64 #s(literal 216 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y))
(/ (- (+ 6 (/ 216 (pow y 4))) (+ (* 36 (/ 1 (pow y 2))) (* 1296 (/ 1 (pow y 6))))) (pow y 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 216 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 #s(literal -36 binary64) (*.f64 y y)) (/.f64 #s(literal -1296 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 y 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 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)

rewrite376.0ms (4.3%)

Memory
13.2MiB live, 658.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 980×lower-fma.f32
5 974×lower-fma.f64
4 204×lower-/.f32
4 190×lower-/.f64
3 612×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045372
073329
1235280
21184270
08643258
Stop Event
iter limit
node limit
iter limit
Counts
23 → 600
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
(/.f64 y (/.f64 #s(literal 1 binary64) y))
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64)))))
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64))))
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64))))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y))
(fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 y #s(literal -1/6 binary64))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64))
#s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64))) y)
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) #s(literal 1 binary64))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x)))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) (neg.f64 x)))
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 x)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))
(sin.f64 y)
(neg.f64 (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
#s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
#s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(neg.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
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(*.f64 (neg.f64 y) (/.f64 y #s(literal 6 binary64)))
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(*.f64 (*.f64 y #s(literal 1/6 binary64)) (neg.f64 y))
(*.f64 (*.f64 y (neg.f64 y)) #s(literal 1/6 binary64))
(*.f64 (*.f64 (neg.f64 y) #s(literal -1/6 binary64)) (neg.f64 y))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (*.f64 y #s(literal -1/6 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal -1/2 binary64))))
#s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64))
#s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))

eval187.0ms (2.1%)

Memory
19.8MiB live, 278.9MiB allocated
Compiler

Compiled 32 310 to 2 326 computations (92.8% saved)

prune155.0ms (1.8%)

Memory
-20.9MiB live, 352.4MiB allocated
Pruning

34 alts after pruning (24 fresh and 10 done)

PrunedKeptTotal
New1 190111 201
Fresh41317
Picked235
Done077
Total1 196341 230
Accuracy
100.0%
Counts
1 230 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(/.f64 (*.f64 (sin.f64 y) x) y)
38.3%
(/.f64 (*.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) x) y)
88.9%
(/.f64 (sin.f64 y) (/.f64 y x))
39.1%
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
58.5%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
58.7%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
58.5%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
89.6%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x)))
89.1%
(*.f64 (/.f64 x y) (sin.f64 y))
38.5%
(*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
89.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
3.1%
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
99.7%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
48.1%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))))
58.7%
(*.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
99.7%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
47.5%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1/36 binary64) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
47.6%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y #s(literal -1/6 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y y) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
47.2%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (*.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
47.2%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
47.5%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
47.5%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
47.5%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
47.5%
(*.f64 x #s(approx (/ (sin y) y) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
47.7%
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (*.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
47.7%
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))))
47.8%
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
3.1%
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64)))))
3.1%
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
49.0%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
48.1%
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x))
48.2%
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x))
Compiler

Compiled 1 501 to 505 computations (66.4% saved)

regimes67.0ms (0.8%)

Memory
14.7MiB live, 127.9MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x))
#s(approx (* x (/ (sin y) y)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
#s(approx (/ x (/ y (sin y))) (fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x))
(*.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64)))))
(*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
(/.f64 (*.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) x) y)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1/36 binary64) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y #s(literal -1/6 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y y) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (*.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (*.f64 y #s(literal -1/6 binary64))) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (/.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 6 binary64))) #s(literal -1 binary64))))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (*.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/36 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/36 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x)))
Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
Calls

4 calls:

17.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
17.0ms
x
16.0ms
(/.f64 (sin.f64 y) y)
15.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(*.f64 x (/.f64 (sin.f64 y) y))
99.8%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes117.0ms (1.3%)

Memory
-16.3MiB live, 98.8MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x))
#s(approx (* x (/ (sin y) y)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
#s(approx (/ x (/ y (sin y))) (fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x))
(*.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64)))))
(*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
(/.f64 (*.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) x) y)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1/36 binary64) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y #s(literal -1/6 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y y) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (*.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (*.f64 y #s(literal -1/6 binary64))) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (/.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 6 binary64))) #s(literal -1 binary64))))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (*.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/36 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/36 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
Calls

4 calls:

47.0ms
(/.f64 (sin.f64 y) y)
38.0ms
y
16.0ms
x
13.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(*.f64 x (/.f64 (sin.f64 y) y))
99.8%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes59.0ms (0.7%)

Memory
3.6MiB live, 95.8MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x))
#s(approx (* x (/ (sin y) y)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
#s(approx (/ x (/ y (sin y))) (fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x))
(*.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal -1/6 binary64)))))
(*.f64 (/.f64 x y) #s(approx (sin y) (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
(/.f64 (*.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) x) y)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1/36 binary64) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y #s(literal -1/6 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y y) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (*.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (*.f64 y #s(literal -1/6 binary64))) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (/.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 6 binary64))) #s(literal -1 binary64))))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (*.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) #s(approx (neg (/ 1 (+ (* y (* y -1/6)) -1))) #s(literal 1 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/36 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y #s(literal 1/36 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))))
(*.f64 x #s(approx (/ (sin y) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))))
Outputs
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
Calls

4 calls:

20.0ms
y
13.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
12.0ms
x
11.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
58.7%1x
58.7%1y
58.7%1(*.f64 x (/.f64 (sin.f64 y) y))
58.7%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes13.0ms (0.2%)

Memory
-0.3MiB live, 37.6MiB allocated
Accuracy

Total -29.7b remaining (-90.8%)

Threshold costs -29.7b (-90.8%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))))
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* y (* y -1/6)) 1) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) x)
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x))
#s(approx (* x (/ (sin y) y)) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
Outputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

4 calls:

4.0ms
y
3.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms
x
3.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
49.0%1x
49.0%1y
49.0%1(/.f64 (sin.f64 y) y)
49.0%1(*.f64 x (/.f64 (sin.f64 y) y))
Compiler

Compiled 20 to 13 computations (35% saved)

simplify6.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01833
12333
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

soundness463.0ms (5.2%)

Memory
-24.3MiB live, 325.2MiB allocated
Rules
16 120×lower-fma.f64
16 120×lower-fma.f32
15 214×lower-fma.f64
15 214×lower-fma.f32
4 570×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
0812
11912
27212
333612
0179812
043306
1118306
2310296
3910294
41439294
52227294
63349294
73639294
84369294
96831294
08504276
0641428
11691428
24441402
312741392
419821392
529331392
641281392
761671392
875741392
081411323
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 70 to 38 computations (45.7% saved)

preprocess345.0ms (3.9%)

Memory
-113.7MiB live, 114.9MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 134 to 76 computations (43.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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