Linear.Quaternion:$cexp from linear-1.19.1.3

Time bar (total: 9.7s)

analyze12.0ms (0.1%)

Memory
-2.6MiB live, 37.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample794.0ms (8.2%)

Memory
30.7MiB live, 1 377.3MiB allocated
Samples
572.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 359.0ms
ival-sin: 233.0ms (64.9% of total)
ival-div: 64.0ms (17.8% of total)
ival-mult: 52.0ms (14.5% of total)
ival-true: 7.0ms (2% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess46.0ms (0.5%)

Memory
-20.7MiB live, 21.8MiB 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
186
2106
3126
4136
0136
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* x (/ (sin y) y))
Outputs
(* x (/ (sin y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
Symmetry

(abs y)

(negabs x)

explain108.0ms (1.1%)

Memory
-2.0MiB live, 116.1MiB 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
79.0ms512×0valid
Compiler

Compiled 48 to 24 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-sin: 34.0ms (75.6% of total)
ival-div: 7.0ms (15.6% of total)
ival-mult: 3.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

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

Compiled 8 to 5 computations (37.5% saved)

simplify4.0ms (0%)

Memory
4.8MiB live, 4.8MiB 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×*-lowering-*.f32
12×*-lowering-*.f64
*-commutative
/-lowering-/.f32
/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514
1814
21014
31214
41314
01314
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* x (/ (sin y) y))
x
(/ (sin y) y)
(sin y)
y
Outputs
(* x (/ (sin y) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
x
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(sin y)
(sin.f64 y)
y

localize50.0ms (0.5%)

Memory
-18.0MiB live, 41.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 y)
accuracy99.9%
(/.f64 (sin.f64 y) y)
accuracy99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
Samples
18.0ms256×0valid
Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 8.0ms (70.8% of total)
ival-div: 2.0ms (17.7% of total)
ival-mult: 1.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#<alt (* x (/ (sin y) y))>
#<alt (/ (sin y) y)>
#<alt (sin 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
x
@inf
(* x (/ (sin y) y))
1.0ms
y
@inf
(* x (/ (sin y) y))
1.0ms
x
@-inf
(* x (/ (sin y) y))

rewrite188.0ms (1.9%)

Memory
7.5MiB live, 124.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
836×*-lowering-*.f32
836×*-lowering-*.f64
718×/-lowering-/.f32
718×/-lowering-/.f64
220×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
11612
26912
333112
0179312
Stop Event
iter limit
iter limit
node limit
Counts
3 → 153
Calls
Call 1
Inputs
(* x (/ (sin y) y))
(/ (sin y) y)
(sin y)
Outputs
(+.f64 (*.f64 (/.f64 x (neg.f64 y)) #s(literal 0 binary64)) (/.f64 (*.f64 x (sin.f64 y)) y))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 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 x (neg.f64 y)) (/.f64 (*.f64 x (sin.f64 y)) y))
(fma.f64 (/.f64 x (neg.f64 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) (/.f64 y (neg.f64 (*.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 x (neg.f64 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 x (neg.f64 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 x (neg.f64 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 x (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 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 x (neg.f64 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 x (neg.f64 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 (/.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 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (sin.f64 y))))
(*.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)) #s(literal -1 binary64))
(*.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 (/.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 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 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y))
(*.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 (/.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 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 #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)))

simplify925.0ms (9.5%)

Memory
-14.4MiB live, 505.4MiB allocated
Algorithm
egg-herbie
Rules
16 120×accelerator-lowering-fma.f32
16 120×accelerator-lowering-fma.f64
4 374×*-lowering-*.f32
4 374×*-lowering-*.f64
2 386×--lowering--.f32
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 → 48
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)

eval42.0ms (0.4%)

Memory
1.6MiB live, 40.7MiB allocated
Compiler

Compiled 2 208 to 442 computations (80% saved)

prune32.0ms (0.3%)

Memory
18.2MiB live, 57.1MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New18714201
Fresh000
Picked011
Done000
Total18715202
Accuracy
100.0%
Counts
202 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
55.0%
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
87.1%
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y))
86.0%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
48.4%
(/.f64 (*.f64 (/.f64 x (neg.f64 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))
87.3%
(/.f64 (*.f64 x (sin.f64 y)) y)
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
86.1%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
88.4%
(*.f64 (/.f64 x y) (sin.f64 y))
87.1%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y)))
55.0%
(*.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))))
99.6%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
55.2%
x
Compiler

Compiled 296 to 199 computations (32.8% saved)

simplify78.0ms (0.8%)

Memory
-6.9MiB live, 31.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 x (sin.f64 y))
cost-diff0
(/.f64 y (*.f64 x (sin.f64 y)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
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
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
cost-diff0
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 y (sin.f64 y))
cost-diff384
(/.f64 x (/.f64 y (sin.f64 y)))
Rules
536×*-lowering-*.f32
536×*-lowering-*.f64
476×accelerator-lowering-fma.f32
476×accelerator-lowering-fma.f64
352×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02197
15295
213695
334095
455195
564495
671495
777295
883395
985795
1086095
1186095
086091
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ x (/ y (sin y)))
x
(/ y (sin y))
y
(sin y)
x
(+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x)
(* y y)
y
(* x (+ (* y (* y 1/120)) -1/6))
x
(+ (* y (* y 1/120)) -1/6)
(* y 1/120)
1/120
-1/6
(* x (* (/ 1 y) (sin y)))
x
(* (/ 1 y) (sin y))
(/ 1 y)
1
y
(sin y)
(/ 1 (/ y (* x (sin y))))
1
(/ y (* x (sin y)))
y
(* x (sin y))
x
(sin y)
Outputs
(/ x (/ y (sin y)))
(*.f64 x (/.f64 (sin.f64 y) y))
x
(/ y (sin y))
(/.f64 y (sin.f64 y))
y
(sin y)
(sin.f64 y)
x
(+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x)
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(* y y)
(*.f64 y y)
y
(* x (+ (* y (* y 1/120)) -1/6))
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
x
(+ (* y (* y 1/120)) -1/6)
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* y 1/120)
(*.f64 y #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
(* x (* (/ 1 y) (sin y)))
(*.f64 x (/.f64 (sin.f64 y) y))
x
(* (/ 1 y) (sin y))
(/.f64 (sin.f64 y) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(sin y)
(sin.f64 y)
(/ 1 (/ y (* x (sin y))))
(*.f64 x (/.f64 (sin.f64 y) y))
1
#s(literal 1 binary64)
(/ y (* x (sin y)))
(/.f64 y (*.f64 x (sin.f64 y)))
y
(* x (sin y))
(*.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)

localize268.0ms (2.8%)

Memory
1.8MiB live, 77.6MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(*.f64 x (sin.f64 y))
accuracy98.7%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
accuracy87.2%
(/.f64 y (*.f64 x (sin.f64 y)))
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))
accuracy99.9%
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
accuracy99.9%
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
accuracy99.9%
(*.f64 y #s(literal 1/120 binary64))
accuracy95.6%
(*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
accuracy99.8%
(/.f64 y (sin.f64 y))
Samples
241.0ms256×0valid
Compiler

Compiled 99 to 23 computations (76.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-sin: 17.0ms (38% of total)
ival-mult: 11.0ms (24.6% of total)
ival-div: 8.0ms (17.9% of total)
const: 6.0ms (13.4% of total)
ival-add: 2.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory
-12.6MiB live, 25.1MiB allocated
Counts
14 → 252
Calls
Call 1
Inputs
#<alt (/ x (/ y (sin y)))>
#<alt (/ y (sin y))>
#<alt (sin y)>
#<alt (+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x)>
#<alt (* y y)>
#<alt (* x (+ (* y (* y 1/120)) -1/6))>
#<alt (+ (* y (* y 1/120)) -1/6)>
#<alt (* (/ 1 y) (sin y))>
#<alt (* x (* (/ 1 y) (sin y)))>
#<alt (/ 1 y)>
#<alt (/ 1 (/ y (* x (sin y))))>
#<alt (/ y (* x (sin y)))>
#<alt (* x (sin y))>
#<alt (* y 1/120)>
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 (* -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) (* 1/120 (* x (pow y 2))))))>
#<alt (* 1/120 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* 1/120 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 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 (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* x (- (* 1/120 (pow y 2)) 1/6))>
#<alt (* -1/6 x)>
#<alt (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))>
#<alt (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))>
#<alt (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* 1/120 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))>
#<alt -1/6>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* 1/120 (pow y 2))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (sin y) y)>
#<alt (/ (* x (sin 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)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ 1 x)>
#<alt (+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))>
#<alt (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))>
#<alt (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) x)) (* 7/360 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))>
#<alt (/ y (* x (sin y)))>
#<alt (/ y (* x (sin y)))>
#<alt (/ y (* x (sin y)))>
#<alt (/ y (* x (sin y)))>
#<alt (/ y (* x (sin y)))>
#<alt (/ y (* x (sin y)))>
#<alt (/ y (* x (sin y)))>
#<alt (/ y (* x (sin y)))>
#<alt (/ y (* x (sin y)))>
#<alt (/ y (* x (sin y)))>
#<alt (/ y (* x (sin y)))>
#<alt (/ y (* x (sin y)))>
#<alt (/ y (* x (sin y)))>
#<alt (/ y (* x (sin y)))>
#<alt (/ y (* x (sin y)))>
#<alt (/ y (* x (sin y)))>
#<alt (/ y (* x (sin y)))>
#<alt (/ y (* x (sin y)))>
#<alt (/ y (* x (sin y)))>
#<alt (/ y (* x (sin y)))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x 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 (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
#<alt (* 1/120 y)>
Calls

63 calls:

TimeVariablePointExpression
21.0ms
y
@-inf
(/ y (* x (sin y)))
2.0ms
x
@0
(+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x)
1.0ms
y
@inf
(+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x)
1.0ms
x
@inf
(+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x)
0.0ms
y
@inf
(/ y (* x (sin y)))

rewrite352.0ms (3.6%)

Memory
12.0MiB live, 611.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 774×accelerator-lowering-fma.f32
6 774×accelerator-lowering-fma.f64
4 946×*-lowering-*.f32
4 946×*-lowering-*.f64
2 498×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02180
111478
270778
3674878
0822374
Stop Event
iter limit
node limit
Counts
14 → 662
Calls
Call 1
Inputs
(/ x (/ y (sin y)))
(/ y (sin y))
(sin y)
(+ (* (* y y) (* x (+ (* y (* y 1/120)) -1/6))) x)
(* y y)
(* x (+ (* y (* y 1/120)) -1/6))
(+ (* y (* y 1/120)) -1/6)
(* (/ 1 y) (sin y))
(* x (* (/ 1 y) (sin y)))
(/ 1 y)
(/ 1 (/ y (* x (sin y))))
(/ y (* x (sin y)))
(* x (sin y))
(* y 1/120)
Outputs
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (*.f64 x (sin.f64 y))))))
(-.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)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 (sin.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 (sin.f64 y) (/.f64 y x))
(/.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) (/.f64 y (neg.f64 (*.f64 x (sin.f64 y)))))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 x) (/.f64 y (neg.f64 (sin.f64 y))))
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) y)
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 y (neg.f64 (sin.f64 y))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 y (neg.f64 (sin.f64 y))))
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 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 #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) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 x y) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 x))
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.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 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (*.f64 x (sin.f64 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) (*.f64 x (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 (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 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #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 (neg.f64 x) y) (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(*.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) (*.f64 x (sin.f64 y)))))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (*.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 (sin.f64 y)))
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
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(*.f64 (/.f64 y (sin.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 (*.f64 x (sin.f64 y)))))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))))
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)))
(*.f64 (/.f64 y (neg.f64 (*.f64 x (sin.f64 y)))) #s(literal -1 binary64))
(*.f64 (/.f64 y (neg.f64 (sin.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) y)
(*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (/.f64 y (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))) (neg.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 y (neg.f64 x)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y (neg.f64 (sin.f64 y))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 y (neg.f64 (sin.f64 y))))
(*.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (sin.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (sin.f64 y))))
(neg.f64 (neg.f64 (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(pow.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y #s(literal 1/120 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1/120 binary64)) #s(literal -1 binary64))
(*.f64 y #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) y)
(*.f64 (*.f64 y #s(literal 1/120 binary64)) #s(literal 1 binary64))

simplify424.0ms (4.4%)

Memory
9.0MiB live, 793.9MiB allocated
Algorithm
egg-herbie
Rules
19 146×accelerator-lowering-fma.f32
19 146×accelerator-lowering-fma.f64
6 172×*-lowering-*.f32
6 172×*-lowering-*.f64
1 756×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01051790
13191746
28931722
328761708
460901708
090181591
Stop Event
iter limit
node limit
Counts
252 → 252
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 (* -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) (* 1/120 (* x (pow y 2))))))
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 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)
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* x (- (* 1/120 (pow y 2)) 1/6))
(* -1/6 x)
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(* 1/120 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* 1/120 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (* 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)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ 1 x)
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) x)) (* 7/360 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))
(/ y (* x (sin y)))
(/ y (* x (sin y)))
(/ y (* x (sin y)))
(/ y (* x (sin y)))
(/ y (* x (sin y)))
(/ y (* x (sin y)))
(/ y (* x (sin y)))
(/ y (* x (sin y)))
(/ y (* x (sin y)))
(/ y (* x (sin y)))
(/ y (* x (sin y)))
(/ y (* x (sin y)))
(/ y (* x (sin y)))
(/ y (* x (sin y)))
(/ y (* x (sin y)))
(/ y (* x (sin y)))
(/ y (* x (sin y)))
(/ y (* x (sin y)))
(/ y (* x (sin y)))
(/ y (* x (sin y)))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x 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))
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 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 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)
(/ (* x (sin y)) 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 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)
(* 1/120 (* x (pow y 4)))
(*.f64 x (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 x (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)
(* 1/120 (* x (pow y 4)))
(*.f64 x (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/120 binary64))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 x (*.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)
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eval151.0ms (1.5%)

Memory
24.4MiB live, 259.6MiB allocated
Compiler

Compiled 17 891 to 1 537 computations (91.4% saved)

prune93.0ms (1%)

Memory
-15.8MiB live, 203.7MiB allocated
Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New9528960
Fresh369
Picked055
Done011
Total95520975
Accuracy
100.0%
Counts
975 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
55.0%
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
87.3%
(/.f64 (*.f64 x (sin.f64 y)) y)
88.0%
(/.f64 (sin.f64 y) (/.f64 y x))
64.6%
(/.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)))
64.5%
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
55.0%
(/.f64 x (/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
64.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
42.3%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
86.1%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
85.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) y))
88.4%
(*.f64 (/.f64 x y) (sin.f64 y))
87.1%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y)))
55.0%
(*.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))))
99.6%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
55.0%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y))
55.2%
x
Compiler

Compiled 358 to 233 computations (34.9% saved)

simplify139.0ms (1.4%)

Memory
7.1MiB live, 238.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 x (sin.f64 y))
cost-diff0
(/.f64 (*.f64 x (sin.f64 y)) y)
cost-diff0
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
cost-diff0
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
cost-diff320
(/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
cost-diff1088
(/.f64 x (/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.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 #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
(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
3 226×*-lowering-*.f32
3 226×*-lowering-*.f64
1 870×cube-prod
1 614×times-frac
1 568×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025125
156121
2105115
3243115
4456115
5909115
62141115
72431115
82681115
93238115
104490115
114988115
127844115
08220108
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (/ 1 (/ y (sin y))))
x
(/ 1 (/ y (sin y)))
1
(/ y (sin y))
y
(sin y)
(* x (+ (* y (* y -1/6)) 1))
x
(+ (* y (* y -1/6)) 1)
y
(* y -1/6)
-1/6
1
(/ x (+ (* y (* y 1/6)) 1))
x
(+ (* y (* y 1/6)) 1)
y
(* y 1/6)
1/6
1
(/ x (/ y (+ (* y (* -1/6 (* y y))) y)))
x
(/ y (+ (* y (* -1/6 (* y y))) y))
y
(+ (* y (* -1/6 (* y y))) y)
(* -1/6 (* y y))
-1/6
(* y y)
(/ (* x (sin y)) y)
(* x (sin y))
x
(sin y)
y
Outputs
(* x (/ 1 (/ y (sin y))))
(/.f64 (*.f64 x (sin.f64 y)) y)
x
(/ 1 (/ y (sin y)))
(/.f64 (sin.f64 y) y)
1
#s(literal 1 binary64)
(/ y (sin y))
(/.f64 y (sin.f64 y))
y
(sin y)
(sin.f64 y)
(* x (+ (* y (* y -1/6)) 1))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) x)
x
(+ (* y (* y -1/6)) 1)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
y
(* y -1/6)
(*.f64 y #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
1
#s(literal 1 binary64)
(/ x (+ (* y (* y 1/6)) 1))
(/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
x
(+ (* y (* y 1/6)) 1)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
y
(* y 1/6)
(*.f64 y #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
(/ x (/ y (+ (* y (* -1/6 (* y y))) y)))
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) x)
x
(/ y (+ (* y (* -1/6 (* y y))) y))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
y
(+ (* y (* -1/6 (* y y))) y)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)
(* -1/6 (* y y))
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(* y y)
(*.f64 y y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(* x (sin y))
(*.f64 x (sin.f64 y))
x
(sin y)
(sin.f64 y)
y

localize365.0ms (3.7%)

Memory
-31.7MiB live, 169.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 y)
accuracy99.8%
(*.f64 x (sin.f64 y))
accuracy87.4%
(/.f64 (*.f64 x (sin.f64 y)) y)
accuracy99.9%
(fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)
accuracy99.7%
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
accuracy96.0%
(/.f64 x (/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
accuracy95.7%
(/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
accuracy99.9%
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
accuracy99.4%
(*.f64 y #s(literal 1/6 binary64))
accuracy93.2%
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
accuracy99.9%
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
accuracy99.4%
(*.f64 y #s(literal -1/6 binary64))
accuracy95.5%
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
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))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
Samples
288.0ms256×0valid
Compiler

Compiled 122 to 27 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 273.0ms
ival-add: 236.0ms (86.5% of total)
ival-mult: 14.0ms (5.1% of total)
ival-div: 9.0ms (3.3% of total)
ival-sin: 7.0ms (2.6% of total)
const: 6.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
-8.4MiB live, 41.8MiB allocated
Counts
16 → 264
Calls
Call 1
Inputs
#<alt (/ 1 (/ y (sin y)))>
#<alt (* x (/ 1 (/ y (sin y))))>
#<alt (/ y (sin y))>
#<alt (sin y)>
#<alt (* x (+ (* y (* y -1/6)) 1))>
#<alt (+ (* y (* y -1/6)) 1)>
#<alt (* y -1/6)>
#<alt (/ x (+ (* y (* y 1/6)) 1))>
#<alt (+ (* y (* y 1/6)) 1)>
#<alt (* y 1/6)>
#<alt (/ x (/ y (+ (* y (* -1/6 (* y y))) y)))>
#<alt (/ y (+ (* y (* -1/6 (* y y))) y))>
#<alt (+ (* y (* -1/6 (* y y))) y)>
#<alt (* -1/6 (* y y))>
#<alt (/ (* x (sin y)) y)>
#<alt (* x (sin y))>
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 (+ 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 (* -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>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (/ x (+ 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 (/ (* 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 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 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 (* -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 (/ (* x (sin 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))>
Calls

66 calls:

TimeVariablePointExpression
4.0ms
y
@inf
(/ x (/ y (+ (* y (* -1/6 (* y y))) y)))
3.0ms
y
@inf
(* x (+ (* y (* y -1/6)) 1))
1.0ms
x
@0
(/ x (/ y (+ (* y (* -1/6 (* y y))) y)))
1.0ms
y
@-inf
(/ x (/ y (+ (* y (* -1/6 (* y y))) y)))
1.0ms
x
@inf
(/ x (+ (* y (* y 1/6)) 1))

rewrite650.0ms (6.7%)

Memory
1.0MiB live, 716.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 956×accelerator-lowering-fma.f32
6 956×accelerator-lowering-fma.f64
4 926×*-lowering-*.f32
4 926×*-lowering-*.f64
2 880×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025104
113196
287696
3784096
0866989
Stop Event
iter limit
node limit
Counts
16 → 955
Calls
Call 1
Inputs
(/ 1 (/ y (sin y)))
(* x (/ 1 (/ y (sin y))))
(/ y (sin y))
(sin y)
(* x (+ (* y (* y -1/6)) 1))
(+ (* y (* y -1/6)) 1)
(* y -1/6)
(/ x (+ (* y (* y 1/6)) 1))
(+ (* y (* y 1/6)) 1)
(* y 1/6)
(/ x (/ y (+ (* y (* -1/6 (* y y))) y)))
(/ y (+ (* y (* -1/6 (* y y))) y))
(+ (* y (* -1/6 (* y y))) y)
(* -1/6 (* y y))
(/ (* x (sin y)) y)
(* x (sin y))
Outputs
(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)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (neg.f64 (/.f64 (sin.f64 y) y)))
(neg.f64 (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(/.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 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.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 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (sin.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))
(*.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 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(*.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 (*.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 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (sin.f64 y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (sin.f64 y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))))
(neg.f64 (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) y)))
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))))
(neg.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) x))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) y))))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sin.f64 y) x))))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 y (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) y)
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) y)
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) x) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) y)))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) x))
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 (sin.f64 y) x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (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 (/.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 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))) #s(literal -1 binary64))
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (sin.f64 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 y) #s(literal 1 binary64)) (sin.f64 y))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (sin.f64 y))))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 y) (sin.f64 y)))
(neg.f64 (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(/.f64 y (sin.f64 y))
(/.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))
(/.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) (neg.f64 y)) (neg.f64 (sin.f64 y)))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 y)))
(/.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 (sin.f64 y)))
(/.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)))
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal 1 binary64) (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)) y)
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 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)))
(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)
(neg.f64 (neg.f64 (sin.f64 y)))
(neg.f64 (sin.f64 (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (sin.f64 y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.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)))
(+.f64 x (*.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64)))))
(+.f64 (*.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.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)))))
(fma.f64 #s(literal 1 binary64) x (*.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) x)
(fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64)))))
(fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y x)) x)
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x)
(fma.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x x)
(fma.f64 (*.f64 y y) (*.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) #s(literal 1 binary64) x)
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x)
(fma.f64 (*.f64 y (*.f64 y x)) #s(literal -1/6 binary64) x)
(fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x)
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 y y) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.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 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 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))))
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(*.f64 (*.f64 y #s(literal -1/6 binary64)) y)
(*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 y (neg.f64 y)))
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(*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
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(*.f64 (neg.f64 (*.f64 y #s(literal 1/6 binary64))) y)
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (neg.f64 (/.f64 (*.f64 (sin.f64 y) x) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))))
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(/.f64 (*.f64 (sin.f64 y) x) y)
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(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
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(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y)))
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(*.f64 (sin.f64 y) x)
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(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sin.f64 y) x)))
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(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x))

simplify554.0ms (5.7%)

Memory
19.1MiB live, 1 003.9MiB allocated
Algorithm
egg-herbie
Rules
20 146×accelerator-lowering-fma.f32
20 146×accelerator-lowering-fma.f64
5 612×*-lowering-*.f32
5 612×*-lowering-*.f64
3 434×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01571940
14461914
211811892
337371870
084541737
Stop Event
iter limit
node limit
Counts
264 → 264
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)))
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(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(/ y (sin y))
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(/ 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 (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
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x
(+ x (* -1/6 (* x (pow y 2))))
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(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
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(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
1
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(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
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(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
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(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 y)
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(/ x (+ 1 (* 1/6 (pow y 2))))
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(* 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))
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(/ (+ (* -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
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x
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(* (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
(+ 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))
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)))))
(* -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))
(/ (* 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))
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 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 y (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (*.f64 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 (*.f64 y y) x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 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))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* x (+ 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)
(* 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
(+ 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)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
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) (- (* 1/36 (* x (pow y 2))) (* 1/6 x))))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) x)
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1/216 (* x (pow y 2))) (* -1/36 x))) (* 1/6 x))))
(fma.f64 y (*.f64 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))) x)
(* 6 (/ x (pow y 2)))
(*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y)))
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))
(/.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y)))) (*.f64 y y))
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 #s(literal 216 binary64) (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y))))) (*.f64 y y))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))
(/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -1296 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -36 binary64) (*.f64 y y))) (*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 216 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y y))
(* 6 (/ x (pow y 2)))
(*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y)))
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))
(/.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y)))) (*.f64 y y))
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 #s(literal 216 binary64) (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y))))) (*.f64 y y))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))
(/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -1296 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -36 binary64) (*.f64 y y))) (*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 216 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.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 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/6 (pow y 2))
(*.f64 y (*.f64 y #s(literal 1/6 binary64)))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(* 1/6 y)
(*.f64 y #s(literal 1/6 binary64))
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) 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)
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 (* 1/36 (pow y 2)))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 1/36 (* 1/216 (pow y 2)))))))
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/216 binary64) #s(literal 1/36 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/ -6 (pow y 2))
(/.f64 #s(literal -6 binary64) (*.f64 y y))
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 2)))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y))) (*.f64 y y))
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal -36 binary64) (/.f64 #s(literal -216 binary64) (*.f64 y y))) (*.f64 y y))) (*.f64 y y))
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 2))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -216 binary64) (/.f64 #s(literal -1296 binary64) (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y)))) (*.f64 y y))
(/ -6 (pow y 2))
(/.f64 #s(literal -6 binary64) (*.f64 y y))
(* -1 (/ (+ 6 (* 36 (/ 1 (pow y 2)))) (pow y 2)))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y))) (*.f64 y y))
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow y 2)))) (pow y 2))) 6) (pow y 2))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal -36 binary64) (/.f64 #s(literal -216 binary64) (*.f64 y y))) (*.f64 y y))) (*.f64 y y))
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow y 2)))) (pow y 4))) (+ 6 (* 36 (/ 1 (pow y 2))))) (pow y 2))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -216 binary64) (/.f64 #s(literal -1296 binary64) (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y)))) (*.f64 y y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* y (+ 1 (* -1/6 (pow y 2))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* -1/6 (pow y 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* -1/6 (pow y 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* -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))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 y y) (*.f64 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 (*.f64 y y) x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(/ (* x (sin y)) y)
(*.f64 (sin.f64 y) (/.f64 x y))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 y (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 y (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)

eval152.0ms (1.6%)

Memory
5.1MiB live, 398.1MiB allocated
Compiler

Compiled 26 434 to 2 332 computations (91.2% saved)

prune210.0ms (2.2%)

Memory
-19.4MiB live, 438.2MiB allocated
Pruning

39 alts after pruning (30 fresh and 9 done)

PrunedKeptTotal
New1 222251 247
Fresh459
Picked235
Done066
Total1 228391 267
Accuracy
100.0%
Counts
1 267 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
55.0%
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x)
64.2%
(/.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) x))
54.0%
(/.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
42.6%
(/.f64 (*.f64 y x) y)
54.6%
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
53.8%
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 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)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
56.9%
(/.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)))
11.3%
(/.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y)))) (*.f64 y y))
87.3%
(/.f64 (*.f64 x (sin.f64 y)) y)
88.0%
(/.f64 (sin.f64 y) (/.f64 y x))
57.5%
(/.f64 x (fma.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
57.5%
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
64.4%
(/.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
57.5%
(/.f64 x (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
64.4%
(/.f64 x (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64)))
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
57.0%
(/.f64 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)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
54.0%
(/.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
53.7%
(/.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
13.3%
(/.f64 x (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
64.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
64.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) x))
86.1%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
85.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) y))
57.1%
(*.f64 (/.f64 (neg.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)))
88.4%
(*.f64 (/.f64 x y) (sin.f64 y))
64.4%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
87.1%
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
55.0%
(*.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))
13.3%
(*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y)))
64.5%
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
99.7%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
99.6%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
55.0%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) 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))
55.2%
x
Compiler

Compiled 1 184 to 662 computations (44.1% saved)

simplify311.0ms (3.2%)

Memory
42.8MiB live, 395.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
cost-diff0
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
cost-diff0
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
cost-diff320
(fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
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 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
cost-diff1408
(/.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) x))
cost-diff0
(*.f64 y #s(literal -1/6 binary64))
cost-diff0
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64))
cost-diff0
(/.f64 x (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #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 y)
cost-diff0
(*.f64 (/.f64 x y) (sin.f64 y))
Rules
5 496×*-lowering-*.f32
5 496×*-lowering-*.f64
3 798×accelerator-lowering-fma.f32
3 798×accelerator-lowering-fma.f64
2 260×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027210
159210
2125198
3292192
4471192
5738192
6848192
7932192
81056192
91535192
101573192
111581192
121602192
131659192
141851192
152576192
164914192
177905192
08032177
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ x y) (sin y))
(/ x y)
x
y
(sin y)
(* -1/6 (* (* y y) x))
-1/6
(* (* y y) x)
(* y y)
y
x
(/ x (+ (* (* y -1/6) y) 1))
x
(+ (* (* y -1/6) y) 1)
(* y -1/6)
y
-1/6
1
(/ (/ 1 (+ (* y (* y -1/6)) 1)) (/ 1 x))
(/ 1 (+ (* y (* y -1/6)) 1))
1
(+ (* y (* y -1/6)) 1)
y
(* y -1/6)
-1/6
(/ 1 x)
x
(/ x (+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (/ 1 (+ (* y (* y -1/6)) 1))))
x
(+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (/ 1 (+ (* y (* y -1/6)) 1)))
(* y (* y (* y (* y -1/6))))
y
(* y (* y (* y -1/6)))
(* y (* y -1/6))
(* y -1/6)
-1/6
(/ -1/6 (+ (* y (* y -1/6)) -1))
(+ (* y (* y -1/6)) -1)
-1
(/ 1 (+ (* y (* y -1/6)) 1))
1
(+ (* y (* y -1/6)) 1)
Outputs
(* (/ x y) (sin y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/ x y)
(/.f64 x y)
x
y
(sin y)
(sin.f64 y)
(* -1/6 (* (* y y) x))
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
-1/6
#s(literal -1/6 binary64)
(* (* y y) x)
(*.f64 x (*.f64 y y))
(* y y)
(*.f64 y y)
y
x
(/ x (+ (* (* y -1/6) y) 1))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
x
(+ (* (* y -1/6) y) 1)
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* y -1/6)
(*.f64 y #s(literal -1/6 binary64))
y
-1/6
#s(literal -1/6 binary64)
1
#s(literal 1 binary64)
(/ (/ 1 (+ (* y (* y -1/6)) 1)) (/ 1 x))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/ 1 (+ (* y (* y -1/6)) 1))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ (* y (* y -1/6)) 1)
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
y
(* y -1/6)
(*.f64 y #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(/ x (+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (/ 1 (+ (* y (* y -1/6)) 1))))
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
x
(+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (/ 1 (+ (* y (* y -1/6)) 1)))
(fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/36 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(* y (* y (* y (* y -1/6))))
(*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
y
(* y (* y (* y -1/6)))
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* y (* y -1/6))
(*.f64 y (*.f64 y #s(literal -1/6 binary64)))
(* y -1/6)
(*.f64 y #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(/ -1/6 (+ (* y (* y -1/6)) -1))
(/.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(+ (* y (* y -1/6)) -1)
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(/ 1 (+ (* y (* y -1/6)) 1))
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ (* y (* y -1/6)) 1)
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))

localize144.0ms (1.5%)

Memory
5.6MiB live, 199.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.3%
(/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
accuracy99.3%
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
accuracy93.2%
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
accuracy70.3%
(fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
accuracy99.9%
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
accuracy99.4%
(*.f64 y #s(literal -1/6 binary64))
accuracy99.3%
(/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
accuracy93.3%
(/.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) x))
accuracy99.9%
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64))
accuracy99.4%
(*.f64 y #s(literal -1/6 binary64))
accuracy93.2%
(/.f64 x (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64)))
accuracy100.0%
(*.f64 y y)
accuracy99.7%
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
accuracy90.9%
(*.f64 (*.f64 y y) x)
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(sin.f64 y)
accuracy88.4%
(*.f64 (/.f64 x y) (sin.f64 y))
Samples
95.0ms256×0valid
Compiler

Compiled 201 to 29 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-div: 47.0ms (60.5% of total)
ival-mult: 15.0ms (19.3% of total)
ival-sin: 6.0ms (7.7% of total)
ival-add: 4.0ms (5.1% of total)
const: 4.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory
-38.2MiB live, 46.3MiB allocated
Counts
17 → 288
Calls
Call 1
Inputs
#<alt (* (/ x y) (sin y))>
#<alt (/ x y)>
#<alt (sin y)>
#<alt (* -1/6 (* (* y y) x))>
#<alt (* (* y y) x)>
#<alt (* y y)>
#<alt (/ x (+ (* (* y -1/6) y) 1))>
#<alt (+ (* (* y -1/6) y) 1)>
#<alt (* y -1/6)>
#<alt (/ (/ 1 (+ (* y (* y -1/6)) 1)) (/ 1 x))>
#<alt (/ 1 (+ (* y (* y -1/6)) 1))>
#<alt (+ (* y (* y -1/6)) 1)>
#<alt (+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (/ 1 (+ (* y (* y -1/6)) 1)))>
#<alt (/ x (+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (/ 1 (+ (* y (* y -1/6)) 1))))>
#<alt (* y (* y (* y (* y -1/6))))>
#<alt (* y (* y (* y -1/6)))>
#<alt (/ -1/6 (+ (* y (* y -1/6)) -1))>
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 y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt y>
#<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 (/ (- (+ (* -216 (/ x (pow y 4))) (* -6 x)) (* 36 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (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))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (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 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt x>
#<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 (/ (- (+ (* -216 (/ x (pow y 4))) (* -6 x)) (* 36 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (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))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (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 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 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 (* 1/108 (pow y 4)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 4) (+ 1/108 (* 1/3888 (pow y 4)))))))>
#<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 (/ 12 (pow y 4)))))>
#<alt (* (pow y 2) (- (+ (* -1 (/ (+ 12 (* 432 (/ 1 (pow y 4)))) (pow y 4))) (/ 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 (/ 12 (pow y 4)))))>
#<alt (* (pow y 2) (- (+ (* -1 (/ (+ 12 (* 432 (/ 1 (pow y 4)))) (pow y 4))) (/ 1 (pow y 2))) 1/6))>
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))>
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))>
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))>
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))>
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))>
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))>
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))>
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))>
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))>
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))>
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))>
#<alt (/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 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 (* (pow y 2) (+ (* 1/216 x) (* 1/108 x)))) (* -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) (* -1 (/ (+ (* -432 x) (* 216 x)) (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ (* -6 x) (* -1 (/ (+ (* -2592 x) (* 6 (+ (* -432 x) (* 216 x)))) (pow y 6)))) (+ (* -432 (/ x (pow y 4))) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4)))))) (pow y 2))>
#<alt (* -6 (/ x (pow y 2)))>
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2))>
#<alt (/ (- (+ (* -6 x) (* -1 (/ (+ (* -432 x) (* 216 x)) (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ (* -6 x) (* -1 (/ (+ (* -2592 x) (* 6 (+ (* -432 x) (* 216 x)))) (pow y 6)))) (+ (* -432 (/ x (pow y 4))) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4)))))) (pow y 2))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 4))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1/6 (pow y 3))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/36 (pow y 2)))>
#<alt (+ 1/6 (* (pow y 2) (- (* 1/216 (pow y 2)) 1/36)))>
#<alt (+ 1/6 (* (pow y 2) (- (* (pow y 2) (+ 1/216 (* -1/1296 (pow y 2)))) 1/36)))>
#<alt (/ 1 (pow y 2))>
#<alt (/ (- 1 (* 6 (/ 1 (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 1 (/ 36 (pow y 4))) (* 6 (/ 1 (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 1 (/ 36 (pow y 4))) (+ (* 6 (/ 1 (pow y 2))) (* 216 (/ 1 (pow y 6))))) (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ (- 1 (* 6 (/ 1 (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 1 (/ 36 (pow y 4))) (* 6 (/ 1 (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ 1 (/ 36 (pow y 4))) (+ (* 6 (/ 1 (pow y 2))) (* 216 (/ 1 (pow y 6))))) (pow y 2))>
Calls

72 calls:

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

rewrite517.0ms (5.3%)

Memory
43.5MiB live, 755.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
10 960×accelerator-lowering-fma.f32
10 960×accelerator-lowering-fma.f64
5 004×*-lowering-*.f32
5 004×*-lowering-*.f64
3 184×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027155
1157147
21006137
08597125
Stop Event
iter limit
node limit
Counts
17 → 1 205
Calls
Call 1
Inputs
(* (/ x y) (sin y))
(/ x y)
(sin y)
(* -1/6 (* (* y y) x))
(* (* y y) x)
(* y y)
(/ x (+ (* (* y -1/6) y) 1))
(+ (* (* y -1/6) y) 1)
(* y -1/6)
(/ (/ 1 (+ (* y (* y -1/6)) 1)) (/ 1 x))
(/ 1 (+ (* y (* y -1/6)) 1))
(+ (* y (* y -1/6)) 1)
(+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (/ 1 (+ (* y (* y -1/6)) 1)))
(/ x (+ (* (* y (* y (* y (* y -1/6)))) (/ -1/6 (+ (* y (* y -1/6)) -1))) (/ 1 (+ (* y (* y -1/6)) 1))))
(* y (* y (* y (* y -1/6))))
(* y (* y (* y -1/6)))
(/ -1/6 (+ (* y (* y -1/6)) -1))
Outputs
(neg.f64 (*.f64 (/.f64 x (neg.f64 y)) (sin.f64 y)))
(neg.f64 (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) y))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x (sin.f64 y)))))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (sin.f64 y)))) y)
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y)))
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 (*.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 x (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x)))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 x))
(sin.f64 y)
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(/.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))))
(*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))
(*.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 (*.f64 y y) #s(literal 1/6 binary64)) (neg.f64 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 #s(literal -1/6 binary64)) (*.f64 y y))
(*.f64 (*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y)
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y)
(*.f64 (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) y)
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)
(/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64)) (neg.f64 x))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(+.f64 (*.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))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #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 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))))
(+.f64 (*.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 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 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))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 x (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) (*.f64 (/.f64 x (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 x (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 x (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(+.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.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 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.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 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.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) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.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 (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 x (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64)))) (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 x (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #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)))
(exp.f64 (-.f64 (neg.f64 (log1p.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (*.f64 (log.f64 x) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y 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))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(fma.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 x (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (/.f64 x (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.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 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.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) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #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 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))))
(fma.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 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 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))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(fma.f64 (/.f64 x (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (*.f64 (/.f64 x (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) #s(literal -1 binary64) (*.f64 (/.f64 x (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(neg.f64 (/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 (/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.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 #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 (/.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))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) x))
(/.f64 (neg.f64 x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
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(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))))
(fma.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (*.f64 y (*.f64 y #s(literal -1/6 binary64)))))
(fma.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (*.f64 y (*.f64 y #s(literal -1/6 binary64))) (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal -6 binary64))))
(/.f64 #s(literal -1/6 binary64) (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)) #s(literal -6 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 6 binary64)))
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(pow.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal -6 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/6 binary64) (/.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 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal -1/6 binary64))
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(*.f64 (pow.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal -6 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal -6 binary64)) #s(literal -1/2 binary64)))
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(*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (fma.f64 y (*.f64 (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))

simplify537.0ms (5.5%)

Memory
-30.0MiB live, 846.5MiB allocated
Algorithm
egg-herbie
Rules
16 188×accelerator-lowering-fma.f32
16 188×accelerator-lowering-fma.f64
5 574×*-lowering-*.f32
5 574×*-lowering-*.f64
2 964×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02182551
15912535
216122448
349892448
086572294
Stop Event
iter limit
node limit
Counts
288 → 288
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 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)
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)))
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(pow y 2)
(pow y 2)
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(pow y 2)
(pow y 2)
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(/ x (+ 1 (* -1/6 (pow y 2))))
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(/ x (+ 1 (* -1/6 (pow y 2))))
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(/ x (+ 1 (* -1/6 (pow y 2))))
x
(+ x (* 1/6 (* x (pow y 2))))
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(+ 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))
(/ (- (+ (* -216 (/ x (pow y 4))) (* -6 x)) (* 36 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (pow y 2))
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(/ (+ (* -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))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (pow y 2))
1
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(/ (- (+ (* -1296 (/ x (pow y 6))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (pow y 2))
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x
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1/6
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(+ 1/6 (* (pow y 2) (- (* (pow y 2) (+ 1/216 (* -1/1296 (pow y 2)))) 1/36)))
(/ 1 (pow y 2))
(/ (- 1 (* 6 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 1 (/ 36 (pow y 4))) (* 6 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 1 (/ 36 (pow y 4))) (+ (* 6 (/ 1 (pow y 2))) (* 216 (/ 1 (pow y 6))))) (pow y 2))
(/ 1 (pow y 2))
(/ (- 1 (* 6 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 1 (/ 36 (pow y 4))) (* 6 (/ 1 (pow y 2)))) (pow y 2))
(/ (- (+ 1 (/ 36 (pow y 4))) (+ (* 6 (/ 1 (pow y 2))) (* 216 (/ 1 (pow y 6))))) (pow y 2))
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 (*.f64 y 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 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x #s(literal -1/6 binary64))) x)
(/ (* 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)
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 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* -1/6 (* x (pow y 2)))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.f64 y y))
(* x (pow y 2))
(*.f64 x (*.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 (+ 1 (* -1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* -1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* -1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* -1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* -1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* -1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* -1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* -1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* -1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* -1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* -1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/ x (+ 1 (* -1/6 (pow y 2))))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
x
(+ x (* 1/6 (* x (pow y 2))))
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)
(+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* -1/6 x))))
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64))) x)
(+ x (* (pow y 2) (- (* (pow y 2) (- (* 1/216 (* x (pow y 2))) (* -1/36 x))) (* -1/6 x))))
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/216 binary64)) #s(literal 1/36 binary64)))))) x)
(* -6 (/ x (pow y 2)))
(/.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 y y))
(/ (+ (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2))
(/.f64 (fma.f64 x #s(literal -6 binary64) (*.f64 x (/.f64 #s(literal -36 binary64) (*.f64 y y)))) (*.f64 y y))
(/ (- (+ (* -216 (/ x (pow y 4))) (* -6 x)) (* 36 (/ x (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 x (/.f64 #s(literal -36 binary64) (*.f64 y y)) (*.f64 x (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -216 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y y))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (pow y 2))
(/.f64 (fma.f64 x (/.f64 #s(literal -1296 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x (/.f64 #s(literal -36 binary64) (*.f64 y y)) (*.f64 x (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -216 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 y y))
(* -6 (/ x (pow y 2)))
(/.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 y y))
(/ (+ (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2))
(/.f64 (fma.f64 x #s(literal -6 binary64) (*.f64 x (/.f64 #s(literal -36 binary64) (*.f64 y y)))) (*.f64 y y))
(/ (- (+ (* -216 (/ x (pow y 4))) (* -6 x)) (* 36 (/ x (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 x (/.f64 #s(literal -36 binary64) (*.f64 y y)) (*.f64 x (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -216 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y y))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (pow y 2))
(/.f64 (fma.f64 x (/.f64 #s(literal -1296 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x (/.f64 #s(literal -36 binary64) (*.f64 y y)) (*.f64 x (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -216 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.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 (* -1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* -1/6 (pow y 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
x
(+ x (* 1/6 (* x (pow y 2))))
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)
(+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* -1/6 x))))
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal 1/6 binary64))) x)
(+ x (* (pow y 2) (- (* (pow y 2) (- (* 1/216 (* x (pow y 2))) (* -1/36 x))) (* -1/6 x))))
(fma.f64 (*.f64 y y) (fma.f64 x #s(literal 1/6 binary64) (*.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/216 binary64)) #s(literal 1/36 binary64)))))) x)
(* -6 (/ x (pow y 2)))
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(/ (+ (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2))
(/.f64 (fma.f64 x #s(literal -6 binary64) (*.f64 x (/.f64 #s(literal -36 binary64) (*.f64 y y)))) (*.f64 y y))
(/ (- (+ (* -216 (/ x (pow y 4))) (* -6 x)) (* 36 (/ x (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 x (/.f64 #s(literal -36 binary64) (*.f64 y y)) (*.f64 x (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -216 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 y y))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (pow y 2))
(/.f64 (fma.f64 x (/.f64 #s(literal -1296 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 x (/.f64 #s(literal -36 binary64) (*.f64 y y)) (*.f64 x (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -216 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 y y))
(* -6 (/ x (pow y 2)))
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(/ (+ (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2))
(/.f64 (fma.f64 x #s(literal -6 binary64) (*.f64 x (/.f64 #s(literal -36 binary64) (*.f64 y y)))) (*.f64 y y))
(/ (- (+ (* -216 (/ x (pow y 4))) (* -6 x)) (* 36 (/ x (pow y 2)))) (pow y 2))
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(/ (- (+ (* -1296 (/ x (pow y 6))) (* -6 x)) (+ (* 36 (/ x (pow y 2))) (* 216 (/ x (pow y 4))))) (pow y 2))
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(/ x (+ 1 (* -1/6 (pow y 2))))
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(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
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(+ 1 (* (pow y 2) (+ 1/6 (* 1/36 (pow y 2)))))
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(/ x (+ (* 1/36 (/ (pow y 4) (- (* -1/6 (pow y 2)) 1))) (/ 1 (+ 1 (* -1/6 (pow y 2))))))
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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) (- (* 1/36 (* x (pow y 2))) (* 1/6 x))))
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64))) x)
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* 1/216 x) (* 1/108 x)))) (* -1/36 x))) (* 1/6 x))))
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(* -6 (/ x (pow y 2)))
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(/ (+ (* -36 (/ x (pow y 2))) (* -6 x)) (pow y 2))
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1/6
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eval404.0ms (4.1%)

Memory
35.1MiB live, 619.1MiB allocated
Compiler

Compiled 75 867 to 3 691 computations (95.1% saved)

prune318.0ms (3.3%)

Memory
15.7MiB live, 738.2MiB allocated
Pruning

47 alts after pruning (35 fresh and 12 done)

PrunedKeptTotal
New1 942181 960
Fresh81725
Picked235
Done099
Total1 952471 999
Accuracy
100.0%
Counts
1 999 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
55.0%
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x)
56.9%
(/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
56.9%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y y)) (*.f64 y y)) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) x))
11.7%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) x))
11.7%
(/.f64 (/.f64 #s(literal -6 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
42.6%
(/.f64 (*.f64 y x) y)
56.9%
(/.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)))
11.3%
(/.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y)))) (*.f64 y y))
87.3%
(/.f64 (*.f64 x (sin.f64 y)) y)
11.7%
(/.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 y y))
88.0%
(/.f64 (sin.f64 y) (/.f64 y x))
57.0%
(/.f64 x (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y y)) (*.f64 y y)) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
57.0%
(/.f64 x (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) y) (*.f64 y y)) (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
57.5%
(/.f64 x (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
57.5%
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
57.5%
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
57.1%
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
64.4%
(/.f64 x (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
64.4%
(/.f64 x (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64)))
57.0%
(/.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
57.0%
(/.f64 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)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
53.7%
(/.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
13.3%
(/.f64 x (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
11.7%
(/.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
64.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
86.1%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
85.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) y))
64.2%
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) x))
57.1%
(*.f64 (/.f64 (neg.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)))
88.4%
(*.f64 (/.f64 x y) (sin.f64 y))
51.4%
(*.f64 (/.f64 x y) y)
64.4%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) x)
88.2%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (sin.f64 y))
3.1%
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)
3.1%
(*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)
55.0%
(*.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))
13.3%
(*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y)))
64.5%
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))))
99.7%
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
99.6%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
55.0%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) 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))
55.2%
x
Compiler

Compiled 1 650 to 612 computations (62.9% saved)

regimes108.0ms (1.1%)

Memory
-4.3MiB live, 152.3MiB allocated
Counts
66 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) y)
(/.f64 (*.f64 y x) 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)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y)))
(/.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(/.f64 x (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(/.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 y y))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64)))
(/.f64 x (fma.f64 (*.f64 y 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)
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 y 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 #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 x (/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
(/.f64 (/.f64 #s(literal -6 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y)))) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 #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))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.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 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 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)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #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))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 x (fma.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 x (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.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 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 x (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 x (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) y) (*.f64 y y)) (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(/.f64 x (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y y)) (*.f64 y y)) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 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)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y y)) (*.f64 y y)) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) x))
(*.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 (/.f64 #s(literal 1 binary64) y) x) (sin.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) y))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 (*.f64 (/.f64 x (neg.f64 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))
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
Calls

4 calls:

39.0ms
x
27.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
19.0ms
(/.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)

regimes95.0ms (1%)

Memory
-17.1MiB live, 111.1MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) y)
(/.f64 (*.f64 y x) 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)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y)))
(/.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(/.f64 x (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(/.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 y y))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64)))
(/.f64 x (fma.f64 (*.f64 y 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)
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 y 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 #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 x (/.f64 y (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y)))
(/.f64 (/.f64 #s(literal -6 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (*.f64 y y)))) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (fma.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) (/.f64 #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))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.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 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 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)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal -1/36 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #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))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 x (fma.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/36 binary64))) (/.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 x (fma.f64 (*.f64 y #s(literal 1/6 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 x (fma.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.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 (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) (/.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 x (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 x (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) y) (*.f64 y y)) (*.f64 y #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(/.f64 x (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y y)) (*.f64 y y)) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) (*.f64 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)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 y y)) (*.f64 y y)) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) x))
Outputs
(/.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)))
Calls

4 calls:

45.0ms
(/.f64 (sin.f64 y) y)
18.0ms
y
15.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
14.0ms
x
Results
AccuracySegmentsBranch
64.6%1x
64.6%1y
64.6%1(*.f64 x (/.f64 (sin.f64 y) y))
64.6%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes34.0ms (0.3%)

Memory
-10.0MiB live, 65.6MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) y)
(/.f64 (*.f64 y x) 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)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y)))
(/.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(/.f64 x (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(/.f64 (*.f64 x #s(literal -6 binary64)) (*.f64 y y))
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64)))
(/.f64 x (fma.f64 (*.f64 y 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)
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 y 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 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
Outputs
(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
Calls

4 calls:

10.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
8.0ms
(/.f64 (sin.f64 y) y)
7.0ms
x
7.0ms
y
Results
AccuracySegmentsBranch
64.5%1(/.f64 (sin.f64 y) y)
64.5%1x
64.5%1(*.f64 x (/.f64 (sin.f64 y) y))
64.5%1y
Compiler

Compiled 20 to 13 computations (35% saved)

regimes22.0ms (0.2%)

Memory
11.6MiB live, 50.1MiB allocated
Counts
15 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) y)
(/.f64 (*.f64 y x) 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)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 x (/.f64 #s(literal 6 binary64) (*.f64 y y)))
(/.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(/.f64 x (*.f64 y (*.f64 y #s(literal 1/6 binary64))))
(/.f64 (*.f64 x #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 -1/6 binary64) (*.f64 y y)))
Calls

4 calls:

6.0ms
(/.f64 (sin.f64 y) y)
5.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms
y
5.0ms
x
Results
AccuracySegmentsBranch
64.7%2(*.f64 x (/.f64 (sin.f64 y) y))
64.8%2(/.f64 (sin.f64 y) y)
62.9%2x
64.8%2y
Compiler

Compiled 20 to 13 computations (35% saved)

regimes12.0ms (0.1%)

Memory
-18.9MiB live, 23.0MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) y)
(/.f64 (*.f64 y x) 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)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.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

2 calls:

4.0ms
y
4.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
64.6%2(/.f64 (sin.f64 y) y)
64.7%2y
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
29.4MiB live, 29.4MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(*.f64 (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y)
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) y)
(/.f64 (*.f64 y x) 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)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y))
Outputs
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) y)
Calls

3 calls:

4.0ms
y
4.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
63.3%2(/.f64 (sin.f64 y) y)
62.8%2(*.f64 x (/.f64 (sin.f64 y) y))
63.4%2y
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes14.0ms (0.1%)

Memory
-10.4MiB live, 23.9MiB allocated
Accuracy

Total -33.6b remaining (-117.3%)

Threshold costs -33.6b (-117.3%)

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

4 calls:

5.0ms
(/.f64 (sin.f64 y) y)
3.0ms
y
3.0ms
x
3.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
55.2%1(*.f64 x (/.f64 (sin.f64 y) y))
55.2%1x
55.2%1(/.f64 (sin.f64 y) y)
55.2%1y
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch16.0ms (0.2%)

Memory
-0.9MiB live, 38.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
0.0028165567858357992
17.593150727327018
Samples
10.0ms128×0valid
Compiler

Compiled 179 to 130 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sin: 5.0ms (75.9% of total)
ival-div: 1.0ms (15.2% of total)
ival-mult: 1.0ms (15.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
-10.3MiB live, 28.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
2.4122988824429274e+36
8.691653590665442e+37
Samples
8.0ms112×0valid
Compiler

Compiled 158 to 115 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sin: 4.0ms (71.1% of total)
ival-div: 1.0ms (17.8% of total)
ival-mult: 1.0ms (17.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
27.4MiB live, 27.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
2.4122988824429274e+36
8.691653590665442e+37
Samples
8.0ms112×0valid
Compiler

Compiled 144 to 101 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sin: 4.0ms (71.8% of total)
ival-div: 1.0ms (17.9% of total)
ival-mult: 1.0ms (17.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify25.0ms (0.3%)

Memory
-25.2MiB live, 18.4MiB allocated
Algorithm
egg-herbie
Rules
16×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03683
14783
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.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 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal 6980579422424269/2251799813685248 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 5500000000000000159526529262260584448 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))))
(if (<=.f64 y #s(literal 3599999999999999739507227295370706944 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x y) y))
x
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.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 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal 6980579422424269/2251799813685248 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 6980579422424269/2251799813685248 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 5500000000000000159526529262260584448 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))))
(if (<=.f64 y #s(literal 3599999999999999739507227295370706944 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x y) y))
(if (<=.f64 y #s(literal 3599999999999999739507227295370706944 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 y (/.f64 x y)))
x

soundness1.3s (13%)

Memory
22.3MiB live, 896.8MiB allocated
Rules
20 146×accelerator-lowering-fma.f32
20 146×accelerator-lowering-fma.f64
19 146×accelerator-lowering-fma.f32
19 146×accelerator-lowering-fma.f64
16 188×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
11612
26912
333112
0179312
01571940
14461914
211811892
337371870
084541737
043306
1118306
2310296
3910294
41439294
52227294
63349294
73639294
84369294
96831294
08504276
02182551
15912535
216122448
349892448
086572294
025104
113196
287696
3784096
0866989
01051790
13191746
28931722
328761708
460901708
090181591
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 228 to 131 computations (42.5% saved)

preprocess149.0ms (1.5%)

Memory
-30.7MiB live, 225.7MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 250 to 122 computations (51.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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