Linear.Quaternion:$cexp from linear-1.19.1.3

Time bar (total: 9.5s)

analyze12.0ms (0.1%)

Memory
18.4MiB live, 18.4MiB 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)

sample749.0ms (7.9%)

Memory
-10.1MiB live, 1 094.1MiB allocated
Samples
534.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 359.0ms
ival-sin: 218.0ms (60.7% of total)
ival-div: 75.0ms (20.9% of total)
ival-mult: 56.0ms (15.6% of total)
ival-true: 6.0ms (1.7% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess51.0ms (0.5%)

Memory
8.2MiB live, 48.7MiB 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)

explain330.0ms (3.5%)

Memory
-132.8MiB live, 129.7MiB 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
39.0ms512×0valid
Compiler

Compiled 48 to 24 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-sin: 16.0ms (61.7% of total)
ival-div: 6.0ms (23.1% of total)
ival-mult: 3.0ms (11.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB 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)

simplify5.0ms (0%)

Memory
8.0MiB live, 8.0MiB 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

localize31.0ms (0.3%)

Memory
-29.1MiB live, 52.8MiB 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
25.0ms256×0valid
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 (58.9% of total)
ival-div: 2.0ms (19.6% of total)
ival-mult: 2.0ms (19.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB 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))
1.0ms
x
@inf
(* x (/ (sin y) y))

rewrite299.0ms (3.1%)

Memory
-16.1MiB live, 141.8MiB 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)))

simplify829.0ms (8.7%)

Memory
14.2MiB live, 537.7MiB 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)

eval260.0ms (2.7%)

Memory
-0.1MiB live, 38.5MiB allocated
Compiler

Compiled 2 202 to 440 computations (80% saved)

prune28.0ms (0.3%)

Memory
4.4MiB live, 44.3MiB 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
48.1%
(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%
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
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)))
48.2%
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
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)))
49.0%
(*.f64 x #s(literal 1 binary64))
Compiler

Compiled 216 to 143 computations (33.8% saved)

simplify17.0ms (0.2%)

Memory
-17.7MiB live, 21.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 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 y)
cost-diff0
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
cost-diff0
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
cost-diff320
(*.f64 x #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
174×lower-*.f32
162×lower-*.f64
88×associate-*r*
80×associate-*l*
64×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01673
02969
14867
210567
317667
418167
521467
623567
725867
826067
926067
026067
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(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
x
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
#s(literal -1/6 binary64)
(*.f64 y y)
y
(*.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(literal 1 binary64))
x
x
#s(literal 1 binary64)
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x)
x
(*.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 (/.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)

localize69.0ms (0.7%)

Memory
1.7MiB live, 130.3MiB allocated
Localize:

Found 14 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))
accuracy100.0%
(*.f64 y y)
accuracy99.7%
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
accuracy94.1%
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
accuracy100.0%
(*.f64 x #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
43.0ms256×0valid
Compiler

Compiled 76 to 19 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 10.0ms (33.7% of total)
ival-div: 7.0ms (23.6% of total)
ival-sin: 7.0ms (23.6% of total)
const: 4.0ms (13.5% 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)

series10.0ms (0.1%)

Memory
22.8MiB live, 22.9MiB allocated
Counts
12 → 204
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(literal 1 binary64))>
#<alt (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 y y))>
#<alt (*.f64 y y)>
#<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>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (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 (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 (/ 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

51 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(+ (* x (* -1/6 (* y y))) x)
1.0ms
x
@0
(+ (* x (* -1/6 (* y y))) x)
0.0ms
y
@-inf
(/ y (sin y))
0.0ms
y
@inf
(/ y (sin y))
0.0ms
y
@inf
(+ (* x (* -1/6 (* y y))) x)

rewrite507.0ms (5.3%)

Memory
-14.9MiB live, 654.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 860×lower-fma.f32
9 858×lower-fma.f64
4 842×lower-*.f32
4 830×lower-*.f64
3 718×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01657
02953
18651
242251
3315851
0917551
Stop Event
iter limit
node limit
iter limit
Counts
12 → 637
Calls
Call 1
Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
(sin.f64 y)
(*.f64 x #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(*.f64 y y)
(*.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) (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 (neg.f64 (sin.f64 y)) (/.f64 y x)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x))) (/.f64 (sin.f64 y) (/.f64 y (neg.f64 x))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 y))) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))))
(neg.f64 (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))))
(neg.f64 (*.f64 (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))) #s(literal 1 binary64)))
(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 (sin.f64 y) (/.f64 x y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 y (neg.f64 x)))))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 y (neg.f64 x))))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))))
(/.f64 (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))) #s(literal -1 binary64))
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 x))) y)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 x))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) y)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) x)) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (*.f64 x (sin.f64 y)))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) #s(literal 1 binary64))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 (neg.f64 y) (*.f64 x (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 x y))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (neg.f64 x))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 y (sin.f64 y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 x (neg.f64 y)))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))))) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 x)))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))) (neg.f64 y))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y (*.f64 x (sin.f64 y))) (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.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) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 (/.f64 x 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) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (neg.f64 x) (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (sin.f64 y) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.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)) (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 x (neg.f64 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 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (/.f64 y (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64) (log.f64 y)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64)) (neg.f64 (log.f64 y))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (neg.f64 y) (sin.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))) (/.f64 (neg.f64 y) (sin.f64 y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y)))
(neg.f64 (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 y (sin.f64 y))
(/.f64 y (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)))
(/.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 y) (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))))
(/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (sin.f64 y)))
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(*.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 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 y y) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 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)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))

simplify414.0ms (4.4%)

Memory
13.9MiB live, 649.6MiB allocated
Algorithm
egg-herbie
Rules
14 528×lower-fma.f64
14 528×lower-fma.f32
4 986×lower-*.f64
4 986×lower-*.f32
1 602×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0681142
11901142
24951124
314691118
424831118
557661118
082141061
Stop Event
iter limit
node limit
Counts
204 → 187
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
x
x
x
x
x
x
x
x
x
x
x
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (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 (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)
(/ 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 (*.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 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y 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 (*.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
#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) (+ 1/6 (* 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 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 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
x
x
x
x
x
x
x
x
x
x
x
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.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 (* -1/6 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(* -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))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ (* 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 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y 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 (*.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)
(/ 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 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 (*.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 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 (*.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 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y 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 (*.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 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)

eval144.0ms (1.5%)

Memory
-10.9MiB live, 261.3MiB allocated
Compiler

Compiled 15 390 to 1 434 computations (90.7% saved)

prune90.0ms (0.9%)

Memory
10.7MiB live, 243.7MiB allocated
Pruning

26 alts after pruning (22 fresh and 4 done)

PrunedKeptTotal
New86517882
Fresh156
Picked235
Done011
Total86826894
Accuracy
100.0%
Counts
894 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.8%
(fma.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) x) (/.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
24.5%
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
48.1%
(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%
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
48.2%
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x y) x)
48.2%
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
48.2%
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x)
24.5%
(/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))) (*.f64 x (neg.f64 x))) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x))
23.8%
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)))) (+.f64 x (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64))))
90.0%
(/.f64 (*.f64 x (sin.f64 y)) y)
88.9%
(/.f64 (sin.f64 y) (/.f64 y x))
58.5%
(/.f64 x (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)))
58.5%
(/.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
58.7%
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
89.6%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
48.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)))
48.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
47.5%
(*.f64 (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) (*.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
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)))
3.1%
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
49.0%
x
Compiler

Compiled 714 to 412 computations (42.3% saved)

simplify301.0ms (3.2%)

Memory
31.3MiB live, 472.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
cost-diff128
(neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
cost-diff640
(/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
cost-diff640
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)))
cost-diff0
(*.f64 x #s(literal -1/6 binary64))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
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
7 322×lower-fma.f32
7 316×lower-fma.f64
4 730×lower-*.f32
4 714×lower-*.f64
2 630×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025195
047191
1109177
2319171
31433169
43746167
57210167
08045165
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)
x
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
(*.f64 y y)
y
(*.f64 x #s(literal -1/6 binary64))
x
#s(literal -1/6 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
(*.f64 y y)
y
(*.f64 x #s(literal -1/6 binary64))
x
#s(literal -1/6 binary64)
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(*.f64 y y)
y
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(*.f64 x x)
x
#s(literal 1/36 binary64)
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 x (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))
#s(literal -1/6 binary64)
#s(literal -1 binary64)
(neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
Outputs
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
(*.f64 x (/.f64 (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)
x
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
(*.f64 y y)
y
(*.f64 x #s(literal -1/6 binary64))
x
#s(literal -1/6 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)))
(fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x))
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) x)
(*.f64 y y)
y
(*.f64 x #s(literal -1/6 binary64))
x
#s(literal -1/6 binary64)
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(fma.f64 y (/.f64 (*.f64 y (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(*.f64 x (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/36 binary64))))
(*.f64 y y)
y
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(*.f64 x x)
x
#s(literal 1/36 binary64)
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))))
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal -1 binary64)
(neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)))

localize131.0ms (1.4%)

Memory
-3.3MiB live, 188.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy91.3%
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
accuracy77.2%
(*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
accuracy68.3%
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
accuracy59.3%
(/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x))
accuracy99.5%
(*.f64 x #s(literal -1/6 binary64))
accuracy94.0%
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
accuracy100.0%
(*.f64 y y)
accuracy99.5%
(*.f64 x #s(literal -1/6 binary64))
accuracy94.0%
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
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
90.0ms256×0valid
Compiler

Compiled 209 to 30 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 33.0ms (51.8% of total)
ival-div: 11.0ms (17.3% of total)
ival-sin: 7.0ms (11% of total)
const: 7.0ms (11% of total)
ival-add: 4.0ms (6.3% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
11.9MiB live, 49.8MiB allocated
Counts
14 → 276
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 (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)>
#<alt (*.f64 y y)>
#<alt (*.f64 x #s(literal -1/6 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x))>
#<alt (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))>
#<alt (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))>
#<alt (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))>
#<alt (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))>
#<alt (/.f64 (*.f64 y y) (*.f64 x (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>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<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 (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (/ 1 x)>
#<alt (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))>
#<alt (+ (* (pow y 2) (+ (* 1/36 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))>
#<alt (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/216 (/ (pow y 2) x)) (* 1/36 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))>
#<alt (/ -6 (* x (pow y 2)))>
#<alt (* -1 (/ (+ (* 6 (/ 1 x)) (* 36 (/ 1 (* x (pow y 2))))) (pow y 2)))>
#<alt (/ (- (* -1 (/ (+ (* 36 (/ 1 x)) (* 216 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 6 (/ 1 x))) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ (* 216 (/ 1 x)) (* 1296 (/ 1 (* x (pow y 2))))) (pow y 4))) (+ (* 6 (/ 1 x)) (/ 36 (* x (pow y 2))))) (pow y 2))>
#<alt (/ -6 (* x (pow y 2)))>
#<alt (* -1 (/ (+ (* 6 (/ 1 x)) (* 36 (/ 1 (* x (pow y 2))))) (pow y 2)))>
#<alt (/ (- (* -1 (/ (+ (* 36 (/ 1 x)) (* 216 (/ 1 (* x (pow y 2))))) (pow y 2))) (* 6 (/ 1 x))) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ (* 216 (/ 1 x)) (* 1296 (/ 1 (* x (pow y 2))))) (pow y 4))) (+ (* 6 (/ 1 x)) (/ 36 (* x (pow y 2))))) (pow y 2))>
#<alt (/ 1 (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (/ 1 (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (/ 1 (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (/ 1 (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (/ 1 (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (/ 1 (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (/ 1 (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (/ 1 (* x (+ 1 (* -1/6 (pow y 2)))))>
#<alt (/ -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (/ -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (/ -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (/ -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt x>
#<alt (- (* -1/6 (* x (pow y 2))) (* -1 x))>
#<alt (- (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/36 x) (* 1/36 x))))) (* -1 x))>
#<alt (- (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/36 x) (+ (* 1/36 x) (* (pow y 2) (+ (* -1/216 x) (* 1/216 x)))))))) (* -1 x))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))>
#<alt (* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))>
#<alt (* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))>
#<alt (* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))>
#<alt (* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))>
#<alt (* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))>
#<alt (* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))>
#<alt (* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))>
#<alt (* -1 (* x (+ (* -1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* x (+ (* -1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* x (+ (* -1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* x (+ (* -1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1)))))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* 1/6 (* x (pow y 2))))>
#<alt (+ (* -1 x) (* (pow y 2) (- (* -1/36 (* x (pow y 2))) (* -1/6 x))))>
#<alt (+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* 1/216 (* x (pow y 2))) (* 1/36 x))) (* -1/6 x))))>
#<alt (* -6 (/ x (pow y 2)))>
#<alt (/ (+ (* -6 x) (* 36 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (* 36 (/ x (pow y 2))))) (pow y 2))>
#<alt (/ (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (+ (* 36 (/ x (pow y 2))) (* 1296 (/ x (pow y 6)))))) (pow y 2))>
#<alt (* -6 (/ x (pow y 2)))>
#<alt (/ (+ (* -6 x) (* 36 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (* 36 (/ x (pow y 2))))) (pow y 2))>
#<alt (/ (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (+ (* 36 (/ x (pow y 2))) (* 1296 (/ x (pow y 6)))))) (pow y 2))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt x>
#<alt (- (* -1/6 (* x (pow y 2))) (* -1 x))>
#<alt (- (* (pow y 2) (+ (* -1/6 x) (* 1/36 (* x (pow y 2))))) (* -1 x))>
#<alt (- (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/216 (* x (pow y 2))) (* 1/36 x))))) (* -1 x))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (/ (- (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2))>
#<alt (/ (- (* 216 (/ x (pow y 4))) (+ (* -6 x) (* 36 (/ x (pow y 2))))) (pow y 2))>
#<alt (/ (- (* -1296 (/ x (pow y 6))) (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (* 36 (/ x (pow y 2)))))) (pow y 2))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (/ (- (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2))>
#<alt (/ (- (* 216 (/ x (pow y 4))) (+ (* -6 x) (* 36 (/ x (pow y 2))))) (pow y 2))>
#<alt (/ (- (* -1296 (/ x (pow y 6))) (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (* 36 (/ x (pow y 2)))))) (pow y 2))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* 1/36 (* (pow x 2) (pow y 2)))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* (pow y 2) (- (* (pow y 2) (+ (* -1/36 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* (pow y 2) (- (* (pow y 2) (+ (* (pow y 2) (- (* 1/216 (/ (pow y 2) x)) (* 1/36 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (/ -6 x)>
#<alt (- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x)))>
#<alt (- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4)))))>
#<alt (- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4))))))>
#<alt (/ -6 x)>
#<alt (- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x)))>
#<alt (- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4)))))>
#<alt (- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4))))))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
Calls

69 calls:

TimeVariablePointExpression
7.0ms
x
@0
(+ (* (* (* y y) (* (* x x) 1/36)) (/ (* y y) (* x (+ (* y (* y -1/6)) -1)))) (neg (/ (* x x) (* x (+ (* y (* y -1/6)) -1)))))
1.0ms
y
@inf
(+ (* (* (* y y) (* (* x x) 1/36)) (/ (* y y) (* x (+ (* y (* y -1/6)) -1)))) (neg (/ (* x x) (* x (+ (* y (* y -1/6)) -1)))))
1.0ms
x
@inf
(+ (* (* (* y y) (* (* x x) 1/36)) (/ (* y y) (* x (+ (* y (* y -1/6)) -1)))) (neg (/ (* x x) (* x (+ (* y (* y -1/6)) -1)))))
1.0ms
y
@0
(* (* y y) (* (* x x) 1/36))
1.0ms
y
@0
(+ (* (* (* y y) (* (* x x) 1/36)) (/ (* y y) (* x (+ (* y (* y -1/6)) -1)))) (neg (/ (* x x) (* x (+ (* y (* y -1/6)) -1)))))

rewrite481.0ms (5.1%)

Memory
1.8MiB live, 641.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 160×lower-/.f32
5 148×lower-/.f64
4 856×lower-fma.f32
4 850×lower-fma.f64
4 724×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025137
047131
1185108
21293104
08514104
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 206
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)
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
(*.f64 y y)
(*.f64 x #s(literal -1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(/.f64 (*.f64 y y) (*.f64 x (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)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 (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 (*.f64 #s(literal 1 binary64) (sin.f64 y)) y)
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.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 y (sin.f64 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 #s(literal -1 binary64) (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
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(/.f64 (neg.f64 (*.f64 (/.f64 y x) y)) (neg.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
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(pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y y) x)) #s(literal -1 binary64))
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(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
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(*.f64 (/.f64 (*.f64 y y) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
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(*.f64 (/.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
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simplify635.0ms (6.7%)

Memory
-19.4MiB live, 550.5MiB allocated
Algorithm
egg-herbie
Rules
11 014×lower-fma.f64
11 014×lower-fma.f32
4 434×lower-*.f64
4 434×lower-*.f32
2 266×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02332813
16922808
220782774
355502762
085032553
Stop Event
iter limit
node limit
Counts
276 → 270
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
(+ x (* -1/6 (* x (pow y 2))))
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(+ x (* -1/6 (* x (pow y 2))))
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(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
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(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(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)
(* -1/6 x)
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(* -1/6 x)
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(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
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x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
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(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
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(* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))
(* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))
(* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))
(* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))
(* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))
(* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))
(* -1 (* x (+ (* -1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1)))))
(* -1 (* x (+ (* -1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1)))))
(* -1 (* x (+ (* -1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1)))))
(* -1 (* x (+ (* -1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1)))))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(* -1 x)
(+ (* -1 x) (* 1/6 (* x (pow y 2))))
(+ (* -1 x) (* (pow y 2) (- (* -1/36 (* x (pow y 2))) (* -1/6 x))))
(+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* 1/216 (* x (pow y 2))) (* 1/36 x))) (* -1/6 x))))
(* -6 (/ x (pow y 2)))
(/ (+ (* -6 x) (* 36 (/ x (pow y 2)))) (pow y 2))
(/ (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (* 36 (/ x (pow y 2))))) (pow y 2))
(/ (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (+ (* 36 (/ x (pow y 2))) (* 1296 (/ x (pow y 6)))))) (pow y 2))
(* -6 (/ x (pow y 2)))
(/ (+ (* -6 x) (* 36 (/ x (pow y 2)))) (pow y 2))
(/ (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (* 36 (/ x (pow y 2))))) (pow y 2))
(/ (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (+ (* 36 (/ x (pow y 2))) (* 1296 (/ x (pow y 6)))))) (pow y 2))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
x
(- (* -1/6 (* x (pow y 2))) (* -1 x))
(- (* (pow y 2) (+ (* -1/6 x) (* 1/36 (* x (pow y 2))))) (* -1 x))
(- (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/216 (* x (pow y 2))) (* 1/36 x))))) (* -1 x))
(* 6 (/ x (pow y 2)))
(/ (- (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2))
(/ (- (* 216 (/ x (pow y 4))) (+ (* -6 x) (* 36 (/ x (pow y 2))))) (pow y 2))
(/ (- (* -1296 (/ x (pow y 6))) (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (* 36 (/ x (pow y 2)))))) (pow y 2))
(* 6 (/ x (pow y 2)))
(/ (- (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2))
(/ (- (* 216 (/ x (pow y 4))) (+ (* -6 x) (* 36 (/ x (pow y 2))))) (pow y 2))
(/ (- (* -1296 (/ x (pow y 6))) (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (* 36 (/ x (pow y 2)))))) (pow y 2))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* 1/36 (* (pow x 2) (pow y 2)))
(* -1 (/ (pow y 2) x))
(* (pow y 2) (- (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(* (pow y 2) (- (* (pow y 2) (+ (* -1/36 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* (pow y 2) (- (* (pow y 2) (+ (* (pow y 2) (- (* 1/216 (/ (pow y 2) x)) (* 1/36 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(/ -6 x)
(- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x)))
(- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4)))))
(- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4))))))
(/ -6 x)
(- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x)))
(- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4)))))
(- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4))))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
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 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 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
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 (*.f64 y y) x) (fma.f64 (*.f64 y 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) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 #s(literal -1/6 binary64) x)) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
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) (+ 1/6 (* 7/360 (pow y 2)))))
(fma.f64 (*.f64 y 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 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/ y (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 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 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
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* -1/6 (* x (pow y 2)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* -1/6 (* x (pow y 2)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* -1/6 (* x (pow y 2)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* -1/6 (* x (pow y 2)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))
(*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (+ (* 1/36 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))
(fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 1/216 (/ (pow y 2) x)) (* 1/36 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))
(fma.f64 (*.f64 y y) (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 y (*.f64 y #s(literal 1/216 binary64)) #s(literal 1/36 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/ -6 (* x (pow y 2)))
(/.f64 #s(literal -6 binary64) (*.f64 (*.f64 y y) x))
(* -1 (/ (+ (* 6 (/ 1 x)) (* 36 (/ 1 (* x (pow y 2))))) (pow y 2)))
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(*.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal 1/36 binary64)))))
(* 1/36 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal 1/36 binary64)))))
(* 1/36 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal 1/36 binary64)))))
(* 1/36 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal 1/36 binary64)))))
(* 1/36 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal 1/36 binary64)))))
(* 1/36 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal 1/36 binary64)))))
(* 1/36 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal 1/36 binary64)))))
(* 1/36 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal 1/36 binary64)))))
(* 1/36 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal 1/36 binary64)))))
(* 1/36 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal 1/36 binary64)))))
(* 1/36 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal 1/36 binary64)))))
(* 1/36 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal 1/36 binary64)))))
(* 1/36 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal 1/36 binary64)))))
(* 1/36 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal 1/36 binary64)))))
(* 1/36 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal 1/36 binary64)))))
(* 1/36 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal 1/36 binary64)))))
(* 1/36 (* (pow x 2) (pow y 2)))
(*.f64 y (*.f64 y (*.f64 x (*.f64 x #s(literal 1/36 binary64)))))
(* -1 (/ (pow y 2) x))
(neg.f64 (/.f64 (*.f64 y y) x))
(* (pow y 2) (- (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(*.f64 y (*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
(* (pow y 2) (- (* (pow y 2) (+ (* -1/36 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(*.f64 y (*.f64 y (fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) x))))
(* (pow y 2) (- (* (pow y 2) (+ (* (pow y 2) (- (* 1/216 (/ (pow y 2) x)) (* 1/36 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(*.f64 y (*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/216 binary64) x) (/.f64 #s(literal -1/36 binary64) x)) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal -1 binary64) x))))
(/ -6 x)
(/.f64 #s(literal -6 binary64) x)
(- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x)))
(+.f64 (/.f64 #s(literal 36 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal -6 binary64) x))
(- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 y y))) (/.f64 #s(literal -216 binary64) (*.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))))
(- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4))))))
(+.f64 (/.f64 #s(literal 36 binary64) (*.f64 (*.f64 y y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 216 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 #s(literal 1296 binary64) (*.f64 x (pow.f64 y #s(literal 6 binary64))))))
(/ -6 x)
(/.f64 #s(literal -6 binary64) x)
(- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x)))
(+.f64 (/.f64 #s(literal 36 binary64) (*.f64 (*.f64 y y) x)) (/.f64 #s(literal -6 binary64) x))
(- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (*.f64 y y))) (/.f64 #s(literal -216 binary64) (*.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))))
(- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4))))))
(+.f64 (/.f64 #s(literal 36 binary64) (*.f64 (*.f64 y y) x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -6 binary64) (/.f64 #s(literal 216 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 #s(literal 1296 binary64) (*.f64 x (pow.f64 y #s(literal 6 binary64))))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))

eval550.0ms (5.8%)

Memory
20.8MiB live, 477.1MiB allocated
Compiler

Compiled 62 007 to 3 483 computations (94.4% saved)

prune656.0ms (6.9%)

Memory
-50.6MiB live, 418.0MiB allocated
Pruning

30 alts after pruning (22 fresh and 8 done)

PrunedKeptTotal
New1 677131 690
Fresh8917
Picked145
Done044
Total1 686301 716
Accuracy
100.0%
Counts
1 716 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.4%
(fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) y)) (/.f64 (*.f64 x x) (/.f64 x y)) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
32.9%
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y))) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
33.2%
(fma.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y) (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
4.6%
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 y y)))
33.1%
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 x)))
48.1%
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
48.2%
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
48.2%
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x)
48.2%
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x)
90.0%
(/.f64 (*.f64 x (sin.f64 y)) y)
88.9%
(/.f64 (sin.f64 y) (/.f64 y x))
58.5%
(/.f64 x (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)))
58.5%
(/.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
58.7%
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
89.6%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
48.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)))
48.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
58.5%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
89.1%
(*.f64 (/.f64 x y) (sin.f64 y))
24.0%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) x))
89.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
58.7%
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
48.1%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y 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)))
3.1%
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
3.1%
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
49.0%
x
Compiler

Compiled 811 to 476 computations (41.3% saved)

simplify208.0ms (2.2%)

Memory
28.1MiB live, 370.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
cost-diff0
(*.f64 (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y)
cost-diff128
(/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
cost-diff896
(fma.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y) (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
cost-diff0
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
cost-diff0
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))))
cost-diff320
(/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) 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
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 x (sin.f64 y))
cost-diff0
(/.f64 (*.f64 x (sin.f64 y)) y)
Rules
5 326×lower-*.f32
5 300×lower-*.f64
3 302×lower-/.f32
3 290×lower-/.f64
2 530×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032217
061202
1123200
2266195
3947194
43104189
55846189
08178187
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
#s(literal -1/6 binary64)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
x
(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 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))))
x
(/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))
#s(literal 1 binary64)
(/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))
y
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
#s(literal -1/6 binary64)
(*.f64 y (*.f64 y y))
(*.f64 y y)
(fma.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y) (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y)
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 y y)
y
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
x
(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)
#s(literal -1 binary64)
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(*.f64 x x)
#s(literal 1/36 binary64)
(/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(neg.f64 x)
Outputs
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
y
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))
#s(literal -1/6 binary64)
(*.f64 (*.f64 y y) x)
(*.f64 x (*.f64 y y))
(*.f64 y y)
y
x
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
x
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y 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 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
x
(/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
y
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
#s(literal -1/6 binary64)
(*.f64 y (*.f64 y y))
(*.f64 y y)
(fma.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y) (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 x (*.f64 y #s(literal 1/36 binary64))))) x)))
(*.f64 (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y)
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 y y)
y
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
x
(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)
#s(literal -1 binary64)
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(*.f64 x (*.f64 x (*.f64 y #s(literal 1/36 binary64))))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(*.f64 x x)
#s(literal 1/36 binary64)
(/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(neg.f64 x)

localize141.0ms (1.5%)

Memory
21.3MiB live, 307.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy94.1%
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
accuracy88.6%
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
accuracy81.4%
(fma.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y) (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
accuracy68.3%
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
accuracy99.9%
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
accuracy99.8%
(*.f64 y (*.f64 y y))
accuracy94.1%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))))
accuracy89.1%
(/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))
accuracy99.9%
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
accuracy99.5%
(*.f64 y #s(literal 1/6 binary64))
accuracy96.2%
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
accuracy100.0%
(*.f64 y y)
accuracy99.7%
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
accuracy88.0%
(*.f64 (*.f64 y y) x)
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(*.f64 x (sin.f64 y))
accuracy90.1%
(/.f64 (*.f64 x (sin.f64 y)) y)
Samples
89.0ms256×0valid
Compiler

Compiled 233 to 38 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 28.0ms (45.1% of total)
ival-div: 10.0ms (16.1% of total)
const: 9.0ms (14.5% of total)
ival-sin: 8.0ms (12.9% of total)
ival-add: 5.0ms (8.1% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory
-8.5MiB live, 70.0MiB allocated
Counts
20 → 384
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 x (sin.f64 y)) y)>
#<alt (*.f64 x (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))>
#<alt (*.f64 (*.f64 y y) x)>
#<alt (*.f64 y y)>
#<alt (/.f64 x (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 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))>
#<alt (/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))>
#<alt (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))))>
#<alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)>
#<alt (fma.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y) (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))>
#<alt (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))>
#<alt (*.f64 (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y)>
#<alt (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))>
#<alt (*.f64 y (*.f64 y y))>
#<alt (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))>
#<alt (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))>
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 (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (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 (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* 1/6 x))))>
#<alt (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1/216 (* x (pow y 2))) (* -1/36 x))) (* 1/6 x))))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))>
#<alt (/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))>
#<alt (/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))>
#<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) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (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 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) (+ 1/6 (* 1/36 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/36 (* 1/216 (pow y 2)))))))>
#<alt (/ -6 (pow y 2))>
#<alt (* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 2)))>
#<alt (/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 2))>
#<alt (/ -6 (pow y 2))>
#<alt (* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 2)))>
#<alt (/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 2))>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/36 x) (* 1/36 x))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/36 x) (+ (* 1/36 x) (* (pow y 2) (+ (* -1/216 x) (* 1/216 x)))))))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -6 (/ x (pow y 4))) (+ (* -1/6 x) (+ (* 6 (/ x (pow y 4))) (/ x (pow y 2))))))>
#<alt (* (pow y 2) (+ (* -6 (/ x (pow y 4))) (+ (* -1/6 x) (+ (* 6 (/ x (pow y 4))) (/ x (pow y 2))))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -6 (/ x (pow y 4))) (+ (* -1/6 x) (+ (* 6 (/ x (pow y 4))) (/ x (pow y 2))))))>
#<alt (* (pow y 2) (+ (* -6 (/ x (pow y 4))) (+ (* -1/6 x) (+ (* 6 (/ x (pow y 4))) (/ x (pow y 2))))))>
#<alt (* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))>
#<alt (* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))>
#<alt (* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))>
#<alt (* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))>
#<alt (* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))>
#<alt (* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))>
#<alt (* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))>
#<alt (* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))>
#<alt (* -1 (* x (+ (* -1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* x (+ (* -1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* x (+ (* -1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1)))))>
#<alt (* -1 (* x (+ (* -1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1)))))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ x (- (* -1/6 (pow y 2)) 1)))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/36 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/216 (* x (pow y 2))) (* 1/36 x))))))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))>
#<alt (/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))>
#<alt (/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))>
#<alt (* -1 (/ (pow y 3) x))>
#<alt (* (pow y 3) (- (* 1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* (pow y 3) (- (* (pow y 2) (+ (* -1/36 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* (pow y 3) (- (* (pow y 2) (+ (* (pow y 2) (- (* 1/216 (/ (pow y 2) x)) (* 1/36 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* -6 (/ y x))>
#<alt (* y (- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x))))>
#<alt (* y (- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4))))))>
#<alt (* y (- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4)))))))>
#<alt (* -6 (/ y x))>
#<alt (* -1 (* y (- (* 6 (/ 1 x)) (* 36 (/ 1 (* x (pow y 2)))))))>
#<alt (* -1 (* y (- (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4)))) (/ 36 (* x (pow y 2))))))>
#<alt (* -1 (* y (- (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4))))) (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))))))>
#<alt (/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (* -1 (/ (pow y 2) x))>
#<alt (* (pow y 2) (- (* 1/6 (/ (pow y 2) x)) (/ 1 x)))>
#<alt (* (pow y 2) (- (* (pow y 2) (+ (* -1/36 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (* (pow y 2) (- (* (pow y 2) (+ (* (pow y 2) (- (* 1/216 (/ (pow y 2) x)) (* 1/36 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))>
#<alt (/ -6 x)>
#<alt (- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x)))>
#<alt (- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4)))))>
#<alt (- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4))))))>
#<alt (/ -6 x)>
#<alt (- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x)))>
#<alt (- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4)))))>
#<alt (- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4))))))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* 1/36 (* (pow x 2) y))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* x (- (* -1/6 (pow y 2)) 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1/6 (* x (pow y 2))))>
#<alt (+ (* -1 x) (* -1/6 (* x (pow y 2))))>
#<alt (+ (* -1 x) (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))>
#<alt (* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))>
Calls

96 calls:

TimeVariablePointExpression
7.0ms
y
@0
(* y (* (* x x) 1/36))
2.0ms
x
@inf
(/ (* x (sin y)) y)
1.0ms
x
@0
(* x (/ 1 (/ y (+ (* -1/6 (* y (* y y))) y))))
1.0ms
x
@inf
(/ x (+ (* y (* y 1/6)) 1))
1.0ms
x
@0
(/ x (+ (* y (* y 1/6)) 1))

rewrite381.0ms (4%)

Memory
4.8MiB live, 689.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 482×lower-fma.f32
8 474×lower-fma.f64
4 768×lower-*.f32
4 742×lower-*.f64
3 670×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032174
061157
1212155
21397150
08604150
Stop Event
iter limit
node limit
iter limit
Counts
20 → 805
Calls
Call 1
Inputs
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (sin.f64 y))
(sin.f64 y)
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(/.f64 x (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 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))
(/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(fma.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y) (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y)
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 y (*.f64 y y))
(*.f64 y (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 x (sin.f64 y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x (sin.f64 y)))))
(/.f64 (*.f64 x (neg.f64 (sin.f64 y))) (neg.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 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (*.f64 x (sin.f64 y))))))
(*.f64 (*.f64 x (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1 binary64) 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 (sin.f64 y) y) x)
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (/.f64 x 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 #s(literal 0 binary64) (*.f64 x (neg.f64 (sin.f64 y))))
(neg.f64 (*.f64 x (neg.f64 (sin.f64 y))))
(*.f64 x (sin.f64 y))
(*.f64 x (neg.f64 (neg.f64 (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 x) (neg.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x))
(*.f64 (neg.f64 (neg.f64 (sin.f64 y))) x)
(sin.f64 y)
(+.f64 (*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) #s(literal 0 binary64))
(fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal 0 binary64))
(fma.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)) #s(literal 0 binary64))
(fma.f64 y (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x y) #s(literal 0 binary64))
(fma.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x #s(literal 0 binary64))
(fma.f64 (*.f64 x y) (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y #s(literal 0 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) #s(literal 0 binary64)) (-.f64 (*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64))) #s(literal 0 binary64)))
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)))
(*.f64 y (*.f64 (*.f64 y #s(literal -1/6 binary64)) x))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))
(*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x y))
(*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)
(*.f64 (*.f64 x y) (*.f64 y #s(literal -1/6 binary64)))
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y))
(*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 x y) y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 y)))
(neg.f64 (*.f64 y (neg.f64 y)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(+.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(neg.f64 (/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) x))
(/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.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)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 x x) (*.f64 (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 #s(literal 0 binary64) (/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (/.f64 (*.f64 x x) (*.f64 (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 #s(literal 0 binary64) (/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 x (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)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) x)) (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 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (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))))
(pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 x (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) (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (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 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
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(*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))

simplify378.0ms (4%)

Memory
3.3MiB live, 676.1MiB allocated
Algorithm
egg-herbie
Rules
10 782×lower-fma.f64
10 782×lower-fma.f32
4 294×lower-*.f64
4 294×lower-*.f32
3 080×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02513587
17613561
222743511
357393455
083793225
Stop Event
iter limit
node limit
Counts
384 → 377
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)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (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 (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* 1/6 x))))
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1/216 (* x (pow y 2))) (* -1/36 x))) (* 1/6 x))))
(* 6 (/ x (pow y 2)))
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))
(* 6 (/ x (pow y 2)))
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))
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) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (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)
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) (+ 1/6 (* 1/36 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/36 (* 1/216 (pow y 2)))))))
(/ -6 (pow y 2))
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 2)))
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2))
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 2))
(/ -6 (pow y 2))
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 2)))
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2))
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 2))
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/36 x) (* 1/36 x))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/36 x) (+ (* 1/36 x) (* (pow y 2) (+ (* -1/216 x) (* 1/216 x)))))))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -6 (/ x (pow y 4))) (+ (* -1/6 x) (+ (* 6 (/ x (pow y 4))) (/ x (pow y 2))))))
(* (pow y 2) (+ (* -6 (/ x (pow y 4))) (+ (* -1/6 x) (+ (* 6 (/ x (pow y 4))) (/ x (pow y 2))))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -6 (/ x (pow y 4))) (+ (* -1/6 x) (+ (* 6 (/ x (pow y 4))) (/ x (pow y 2))))))
(* (pow y 2) (+ (* -6 (/ x (pow y 4))) (+ (* -1/6 x) (+ (* 6 (/ x (pow y 4))) (/ x (pow y 2))))))
(* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))
(* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))
(* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))
(* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))
(* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))
(* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))
(* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))
(* x (- (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1))))
(* -1 (* x (+ (* -1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1)))))
(* -1 (* x (+ (* -1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1)))))
(* -1 (* x (+ (* -1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1)))))
(* -1 (* x (+ (* -1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (- (* -1/6 (pow y 2)) 1)))))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ x (- (* -1/6 (pow y 2)) 1)))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/36 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/216 (* x (pow y 2))) (* 1/36 x))))))
(* 6 (/ x (pow y 2)))
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))
(* 6 (/ x (pow y 2)))
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))
(* -1 (/ (pow y 3) x))
(* (pow y 3) (- (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(* (pow y 3) (- (* (pow y 2) (+ (* -1/36 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* (pow y 3) (- (* (pow y 2) (+ (* (pow y 2) (- (* 1/216 (/ (pow y 2) x)) (* 1/36 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* -6 (/ y x))
(* y (- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x))))
(* y (- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4))))))
(* y (- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4)))))))
(* -6 (/ y x))
(* -1 (* y (- (* 6 (/ 1 x)) (* 36 (/ 1 (* x (pow y 2)))))))
(* -1 (* y (- (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4)))) (/ 36 (* x (pow y 2))))))
(* -1 (* y (- (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4))))) (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))))))
(/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 3) (* x (- (* -1/6 (pow y 2)) 1)))
(* -1 (/ (pow y 2) x))
(* (pow y 2) (- (* 1/6 (/ (pow y 2) x)) (/ 1 x)))
(* (pow y 2) (- (* (pow y 2) (+ (* -1/36 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)))
(* (pow y 2) (- (* (pow y 2) (+ (* (pow y 2) (- (* 1/216 (/ (pow y 2) x)) (* 1/36 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)))
(/ -6 x)
(- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x)))
(- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4)))))
(- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4))))))
(/ -6 x)
(- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x)))
(- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4)))))
(- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4))))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* 1/36 (* (pow x 2) y))
(* x (- (* -1/6 (pow y 2)) 1))
(* x (- (* -1/6 (pow y 2)) 1))
(* x (- (* -1/6 (pow y 2)) 1))
(* x (- (* -1/6 (pow y 2)) 1))
(* x (- (* -1/6 (pow y 2)) 1))
(* x (- (* -1/6 (pow y 2)) 1))
(* x (- (* -1/6 (pow y 2)) 1))
(* x (- (* -1/6 (pow y 2)) 1))
(* x (- (* -1/6 (pow y 2)) 1))
(* x (- (* -1/6 (pow y 2)) 1))
(* x (- (* -1/6 (pow y 2)) 1))
(* x (- (* -1/6 (pow y 2)) 1))
(* -1 x)
(+ (* -1 x) (* -1/6 (* x (pow y 2))))
(+ (* -1 x) (* -1/6 (* x (pow y 2))))
(+ (* -1 x) (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
Outputs
(/ (* 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 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 y (*.f64 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 (*.f64 y y) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)
(/ (* x (sin y)) y)
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(- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 y y)) #s(literal -6 binary64)) (/.f64 #s(literal -216 binary64) (*.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))))
(- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4))))))
(-.f64 (/.f64 #s(literal 1296 binary64) (*.f64 x (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 216 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 #s(literal -36 binary64) (*.f64 x (*.f64 y y)))))
(/ -6 x)
(/.f64 #s(literal -6 binary64) x)
(- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x)))
(+.f64 (/.f64 #s(literal 36 binary64) (*.f64 x (*.f64 y y))) (/.f64 #s(literal -6 binary64) x))
(- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 y y)) #s(literal -6 binary64)) (/.f64 #s(literal -216 binary64) (*.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))))
(- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4))))))
(-.f64 (/.f64 #s(literal 1296 binary64) (*.f64 x (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 216 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 #s(literal -36 binary64) (*.f64 x (*.f64 y y)))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(/ (pow y 2) (* x (- (* -1/6 (pow y 2)) 1)))
(/.f64 (*.f64 y y) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(pow y 3)
(*.f64 y (*.f64 y y))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* 1/36 (* (pow x 2) y))
(*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x y)))
(* x (- (* -1/6 (pow y 2)) 1))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(* x (- (* -1/6 (pow y 2)) 1))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* -1/6 (* x (pow y 2))))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(+ (* -1 x) (* -1/6 (* x (pow y 2))))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(+ (* -1 x) (* -1/6 (* x (pow y 2))))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(* -1/6 (* x (pow y 2)))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(* -1/6 (* x (pow y 2)))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))
(* (pow y 2) (+ (* -1 (/ x (pow y 2))) (* -1/6 x)))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))

eval227.0ms (2.4%)

Memory
1.8MiB live, 386.2MiB allocated
Compiler

Compiled 34 898 to 2 630 computations (92.5% saved)

prune166.0ms (1.7%)

Memory
10.3MiB live, 483.7MiB allocated
Pruning

46 alts after pruning (35 fresh and 11 done)

PrunedKeptTotal
New1 205251 230
Fresh71017
Picked235
Done088
Total1 214461 260
Accuracy
100.0%
Counts
1 260 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.1%
(fma.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (*.f64 y (*.f64 x x))) #s(literal 1/36 binary64) (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
33.2%
(fma.f64 (*.f64 (/.f64 #s(literal -6 binary64) x) y) (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
33.1%
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 x)))
48.1%
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
48.2%
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
47.7%
(fma.f64 x (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
50.5%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (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))))
47.8%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) x)) (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 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) x)))
90.0%
(/.f64 (*.f64 x (sin.f64 y)) y)
39.1%
(/.f64 (*.f64 x y) y)
88.9%
(/.f64 (sin.f64 y) (/.f64 y x))
23.4%
(/.f64 (neg.f64 (/.f64 (*.f64 x x) (*.f64 (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 #s(literal 0 binary64) (/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
58.5%
(/.f64 x (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)))
58.5%
(/.f64 x (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
58.7%
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
48.4%
(/.f64 x (/.f64 (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 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
48.4%
(/.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
58.7%
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
48.4%
(/.f64 x (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
50.7%
(/.f64 x (*.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)))))
14.3%
(/.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
58.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
38.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (/.f64 x y)))
89.6%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
48.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)))
48.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
58.5%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
38.5%
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (/.f64 x y))
48.3%
(*.f64 (/.f64 (neg.f64 x) (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 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
50.7%
(*.f64 (/.f64 x (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)))
50.7%
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))))
89.1%
(*.f64 (/.f64 x y) (sin.f64 y))
58.7%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)
24.0%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) x))
38.3%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x))
89.9%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
3.1%
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
3.1%
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x y))
3.1%
(*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
14.3%
(*.f64 x (/.f64 #s(literal 6 binary64) (*.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)))
3.1%
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
49.0%
x
Compiler

Compiled 1 864 to 672 computations (63.9% saved)

regimes83.0ms (0.9%)

Memory
-3.5MiB live, 207.0MiB allocated
Counts
67 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x y))
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x y) y)
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x)
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x y) x)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x)
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
(*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y)))
(/.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(/.f64 x (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 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))))
(/.f64 x (/.f64 #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 (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 (/.f64 x (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 (*.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (/.f64 x y)))
(fma.f64 (*.f64 (/.f64 #s(literal -6 binary64) x) y) (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)))) (+.f64 x (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64))))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 x)))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) (*.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))) (*.f64 x (neg.f64 x))) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x))
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (/.f64 #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 x (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (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 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) x))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (*.f64 y (*.f64 x x))) #s(literal 1/36 binary64) (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 x x) (*.f64 (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 #s(literal 0 binary64) (/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y) (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (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 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(/.f64 x (/.f64 (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 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(/.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) x)) (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 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) x)))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 x (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y))) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) x) (/.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) y)) (/.f64 (*.f64 x x) (/.f64 x y)) (/.f64 (neg.f64 x) (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 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))))
Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
Calls

4 calls:

24.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
19.0ms
x
18.0ms
y
18.0ms
(/.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)

regimes82.0ms (0.9%)

Memory
-6.6MiB live, 186.2MiB allocated
Counts
63 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x y))
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x y) y)
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x)
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x y) x)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x)
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
(*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y)))
(/.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(/.f64 x (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 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))))
(/.f64 x (/.f64 #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 (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 (/.f64 x (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 (*.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (/.f64 x y)))
(fma.f64 (*.f64 (/.f64 #s(literal -6 binary64) x) y) (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)))) (+.f64 x (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64))))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 x)))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) (*.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))) (*.f64 x (neg.f64 x))) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x))
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (/.f64 #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 x (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (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 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) x))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (*.f64 y (*.f64 x x))) #s(literal 1/36 binary64) (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 x x) (*.f64 (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 #s(literal 0 binary64) (/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y) (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (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 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(/.f64 x (/.f64 (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 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(/.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) x)) (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 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) x)))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 x (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y))) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) x) (/.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) y)) (/.f64 (*.f64 x x) (/.f64 x y)) (/.f64 (neg.f64 x) (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 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:

22.0ms
x
21.0ms
(/.f64 (sin.f64 y) y)
18.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
18.0ms
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)

regimes118.0ms (1.2%)

Memory
7.6MiB live, 158.9MiB allocated
Counts
57 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x y))
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x y) y)
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x)
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x y) x)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x)
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
(*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y)))
(/.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) x)
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(/.f64 x (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 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))))
(/.f64 x (/.f64 #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 (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 (/.f64 x (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 (*.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) (/.f64 x y)))
(fma.f64 (*.f64 (/.f64 #s(literal -6 binary64) x) y) (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)))) (+.f64 x (*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64))))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 x)))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x) (*.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))) (*.f64 x (neg.f64 x))) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x))
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (/.f64 #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 x (/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal 1/36 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (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 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) x))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 y y)))
(fma.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (*.f64 y (*.f64 x x))) #s(literal 1/36 binary64) (/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 x x) (*.f64 (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 #s(literal 0 binary64) (/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) y) (*.f64 y (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (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 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(/.f64 x (/.f64 (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 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))
(/.f64 x (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) x)) (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 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) x)))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 x (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/216 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 y #s(literal -1/6 binary64))))))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y))) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/36 binary64)) x) (/.f64 (*.f64 x x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) y)) (/.f64 (*.f64 x x) (/.f64 x y)) (/.f64 (neg.f64 x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
Outputs
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
Calls

4 calls:

49.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
28.0ms
(/.f64 (sin.f64 y) y)
23.0ms
x
15.0ms
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)

regimes29.0ms (0.3%)

Memory
-9.4MiB live, 69.3MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x y))
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x y) y)
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x)
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x y) x)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x)
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
(*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y)))
(/.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)))
Calls

4 calls:

10.0ms
(/.f64 (sin.f64 y) y)
6.0ms
x
6.0ms
y
5.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
49.0%1x
58.7%2y
58.7%2(/.f64 (sin.f64 y) y)
58.2%2(*.f64 x (/.f64 (sin.f64 y) y))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.1%)

Memory
20.5MiB live, 20.5MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x y))
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x y) y)
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x)
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x y) x)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x)
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
(*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y)))
Outputs
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y)))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
58.7%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes39.0ms (0.4%)

Memory
-35.5MiB live, 68.7MiB allocated
Accuracy

Total -29.7b remaining (-90.8%)

Threshold costs -29.7b (-90.8%)

Counts
15 → 1
Calls
Call 1
Inputs
x
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)))
(*.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x y))
(*.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x y) y)
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x)
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 x y) x)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x)
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
Outputs
x
Calls

4 calls:

23.0ms
x
6.0ms
y
5.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
49.0%1x
49.0%1(*.f64 x (/.f64 (sin.f64 y) y))
49.0%1(/.f64 (sin.f64 y) y)
49.0%1y
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch11.0ms (0.1%)

Memory
24.6MiB live, 24.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
5346235.733310339
21294016.870142687
Samples
7.0ms80×0valid
Compiler

Compiled 116 to 85 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sin: 4.0ms (84.4% of total)
ival-div: 1.0ms (21.1% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
5346235.733310339
21294016.870142687
Compiler

Compiled 116 to 85 computations (26.7% saved)

simplify7.0ms (0.1%)

Memory
-20.2MiB live, 19.0MiB allocated
Algorithm
egg-herbie
Rules
12×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02659
13559
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal 13000000 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(if (<=.f64 y #s(literal 13000000 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y))))
x
Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal 13000000 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64))))
(if (<=.f64 y #s(literal 13000000 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 y y))))
(if (<=.f64 y #s(literal 13000000 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y))))
x

soundness890.0ms (9.4%)

Memory
6.3MiB live, 716.9MiB allocated
Rules
16 120×lower-fma.f64
16 120×lower-fma.f32
14 528×lower-fma.f64
14 528×lower-fma.f32
10 782×lower-fma.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
01657
02953
18651
242251
3315851
0917551
02513587
17613561
222743511
357393455
083793225
0681142
11901142
24951124
314691118
424831118
557661118
082141061
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 169 to 99 computations (41.4% saved)

preprocess76.0ms (0.8%)

Memory
12.7MiB live, 159.7MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 202 to 102 computations (49.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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