Linear.Quaternion:$cexp from linear-1.19.1.3

Time bar (total: 5.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.2%)

Memory
7.8MiB live, 7.8MiB 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)

sample821.0ms (15%)

Memory
-4.0MiB live, 1 054.7MiB allocated
Samples
596.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 374.0ms
ival-sin: 238.0ms (63.6% of total)
ival-div: 69.0ms (18.4% of total)
ival-mult: 58.0ms (15.5% of total)
ival-true: 6.0ms (1.6% of total)
ival-assert: 4.0ms (1.1% of total)
Bogosity

explain66.0ms (1.2%)

Memory
19.7MiB live, 102.9MiB 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
34.0ms512×0valid
Compiler

Compiled 38 to 19 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sin: 12.0ms (58.3% of total)
ival-div: 4.0ms (19.4% of total)
ival-mult: 4.0ms (19.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess42.0ms (0.8%)

Memory
-14.0MiB live, 24.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01536
14632
212232
332332
4111532
5184732
6194032
7197432
8200232
9201432
10201432
056
086
1116
2136
3156
4166
0166
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
Symmetry

(abs y)

(negabs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize22.0ms (0.4%)

Memory
-4.8MiB live, 33.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 y)
accuracy0.08203125
(/.f64 (sin.f64 y) y)
accuracy0.11328125
(*.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: 6.0ms (55.5% of total)
ival-div: 3.0ms (27.7% of total)
ival-mult: 2.0ms (18.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Counts
3 → 15
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(sin.f64 y)
Outputs
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ (sin y) y)
(sin y)
Calls

6 calls:

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

simplify218.0ms (4%)

Memory
-14.5MiB live, 142.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043150
1118150
2310140
3908138
41439138
52228138
63353138
73636138
84364138
96802138
08471120
Stop Event
iter limit
node limit
Counts
15 → 13
Calls
Call 1
Inputs
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ (sin y) y)
(sin y)
Outputs
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(sin y)
(sin.f64 y)

rewrite160.0ms (2.9%)

Memory
4.9MiB live, 83.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
0812
11912
27212
333612
0180712
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
3 → 153
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(sin.f64 y)
Outputs
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 x (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y (sin.f64 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 (sin.f64 y) x)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 x))
(*.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 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (sin.f64 y) x))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 x) y)) (sin.f64 y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (neg.f64 x) y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 x (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (*.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (/.f64 x y) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) (neg.f64 (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(/.f64 x (/.f64 y (sin.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 y (sin.f64 y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 y) y) x))
(fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y) (*.f64 (/.f64 (sin.f64 y) y) x))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (*.f64 (/.f64 (sin.f64 y) y) x))
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) (*.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64))
(*.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) (neg.f64 (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (sin.f64 y))
(*.f64 #s(literal 1 binary64) (/.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 (sin.f64 y) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 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 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)) (sin.f64 y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 (sin.f64 y)) y))) (/.f64 (neg.f64 (sin.f64 y)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) y)))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 y (sin.f64 y)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 y (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.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 (neg.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 y) y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(/.f64 (/.f64 (neg.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 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y))
(+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(/.f64 (sin.f64 y) #s(literal 1 binary64))
(neg.f64 (sin.f64 (neg.f64 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(fma.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (sin.f64 y) #s(literal 1 binary64) #s(literal 0 binary64))
(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))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (sin.f64 y))
(+.f64 (sin.f64 y) #s(literal 0 binary64))

eval48.0ms (0.9%)

Memory
-5.9MiB live, 32.4MiB allocated
Compiler

Compiled 1 933 to 449 computations (76.8% saved)

prune8.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New15610166
Fresh000
Picked011
Done000
Total15611167
Accuracy
100.0%
Counts
167 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.6%
(/.f64 (*.f64 (sin.f64 y) x) y)
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
88.1%
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) (neg.f64 (sin.f64 y))))
87.1%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) x)))
28.8%
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))
87.5%
(*.f64 (/.f64 x y) (sin.f64 y))
87.4%
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
99.7%
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
52.0%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
52.2%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Compiler

Compiled 192 to 155 computations (19.3% saved)

simplify50.0ms (0.9%)

Memory
-10.6MiB live, 28.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) (sin.f64 y))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
cost-diff4
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) (sin.f64 y))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff3
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) (sin.f64 y))
cost-diff0
#s(approx (/ (sin y) y) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 y (sin.f64 y))
cost-diff0
(/.f64 x (/.f64 y (sin.f64 y)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02097
03390
15590
211288
326586
453786
5109486
6149986
7156686
8162486
9162986
10163286
11163386
0163386
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
x
(/.f64 y (sin.f64 y))
y
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
x
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
x
y
(sin.f64 y)
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)
x
(sin.f64 y)
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
x
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(sin.f64 y)
Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
x
(/.f64 y (sin.f64 y))
y
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x)
x
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 x y)
x
y
(sin.f64 y)
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)
x
(sin.f64 y)
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(/.f64 x (/.f64 y (sin.f64 y)))
x
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(sin.f64 y)

localize95.0ms (1.7%)

Memory
8.6MiB live, 56.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 y)
accuracy0.09765625
(/.f64 #s(literal -1 binary64) (sin.f64 y))
accuracy0.11328125
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
accuracy0.232753759768442
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
accuracy0.0
(sin.f64 y)
accuracy0.0
(neg.f64 x)
accuracy0.12890625
(*.f64 (neg.f64 x) (sin.f64 y))
accuracy8.021680698448774
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
accuracy0.0
(/.f64 x y)
accuracy0.0
(sin.f64 y)
accuracy7.976613970858083
(*.f64 (/.f64 x y) (sin.f64 y))
accuracy0.11328125
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy30.768991225376062
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy0.0
(sin.f64 y)
accuracy0.109375
(/.f64 y (sin.f64 y))
accuracy0.1171875
(/.f64 x (/.f64 y (sin.f64 y)))
Samples
82.0ms256×0valid
Compiler

Compiled 95 to 20 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-sin: 45.0ms (69.2% of total)
ival-div: 11.0ms (16.9% of total)
ival-mult: 7.0ms (10.8% of total)
ival-neg: 1.0ms (1.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
14 → 31
Calls
Call 1
Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
Outputs
(/ (* x (sin y)) y)
(/ x y)
(* -1 (* x (sin y)))
(* -1 x)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(/ -1 y)
(* -1 (* x y))
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2)))))
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x)))))
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2)))))))))
(/ (- (* -1/6 (pow y 2)) 1) y)
(/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y)
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) y)
(/ y (sin y))
(sin y)
(/ (sin y) y)
(/ -1 (sin y))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@0
((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* (/ x y) (sin y)) (/ x y) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (/ (/ -1 y) (/ -1 (sin y))) (* x (/ (/ -1 y) (/ -1 (sin y)))) (/ -1 (sin y)))
2.0ms
y
@inf
((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* (/ x y) (sin y)) (/ x y) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (/ (/ -1 y) (/ -1 (sin y))) (* x (/ (/ -1 y) (/ -1 (sin y)))) (/ -1 (sin y)))
2.0ms
y
@-inf
((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* (/ x y) (sin y)) (/ x y) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (/ (/ -1 y) (/ -1 (sin y))) (* x (/ (/ -1 y) (/ -1 (sin y)))) (/ -1 (sin y)))
2.0ms
x
@inf
((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* (/ x y) (sin y)) (/ x y) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (/ (/ -1 y) (/ -1 (sin y))) (* x (/ (/ -1 y) (/ -1 (sin y)))) (/ -1 (sin y)))
1.0ms
x
@-inf
((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* (/ x y) (sin y)) (/ x y) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x) (/ (/ -1 y) (/ -1 (sin y))) (* x (/ (/ -1 y) (/ -1 (sin y)))) (/ -1 (sin y)))

simplify585.0ms (10.7%)

Memory
-3.7MiB live, 70.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101319
1283316
2790302
32420290
44256290
57618290
08151256
Stop Event
iter limit
node limit
Counts
31 → 29
Calls
Call 1
Inputs
(/ (* x (sin y)) y)
(/ x y)
(* -1 (* x (sin y)))
(* -1 x)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(/ -1 y)
(* -1 (* x y))
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2)))))
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x)))))
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2)))))))))
(/ (- (* -1/6 (pow y 2)) 1) y)
(/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y)
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) y)
(/ y (sin y))
(sin y)
(/ (sin y) y)
(/ -1 (sin y))
Outputs
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ x y)
(/.f64 x y)
(* -1 (* x (sin y)))
(*.f64 (neg.f64 x) (sin.f64 y))
(* -1 x)
(neg.f64 x)
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) 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 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2)))))
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x)))))
(*.f64 (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))) y)
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2)))))))))
(*.f64 (neg.f64 y) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) x))
(/ (- (* -1/6 (pow y 2)) 1) y)
(fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))
(/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y)
(fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y (/.f64 #s(literal -1 binary64) y))
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) y)
(fma.f64 (fma.f64 (fma.f64 #s(literal -31/15120 binary64) (*.f64 y y) #s(literal -7/360 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y (/.f64 #s(literal -1 binary64) y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(sin y)
(sin.f64 y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(/ -1 (sin y))
(/.f64 #s(literal -1 binary64) (sin.f64 y))

rewrite360.0ms (6.6%)

Memory
-15.8MiB live, 68.3MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02076
03369
19065
243465
3207264
4735164
0847464
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 092
Calls
Call 1
Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
Outputs
(*.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (sin.f64 y) y)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal -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)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sin.f64 y))))
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 y x)))
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (/.f64 y x) (sin.f64 y)))
(*.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 y (sin.f64 y)) x) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -2 binary64))))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal -1 binary64))
(*.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y (sin.f64 y))))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sin.f64 y)) x)))
(*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 y (sin.f64 y))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (/.f64 y (sin.f64 y)))))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (sin.f64 y))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (sin.f64 y) x))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (*.f64 (/.f64 (/.f64 y x) (sin.f64 y)) (/.f64 (/.f64 y x) (sin.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal -2 binary64)))) x)
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (sin.f64 y))) y)
(/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (sin.f64 y) y)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) x) x)
(/.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) x) (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (*.f64 y (pow.f64 x #s(literal -2 binary64)))) x)
(/.f64 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/.f64 (/.f64 (/.f64 x y) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal -2 binary64)))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/.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 (neg.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 (neg.f64 x) x) (/.f64 (sin.f64 y) y)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (sin.f64 y) y)) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 x x))
(/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (/.f64 x y)))
(/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) x) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -2 binary64)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal -1 binary64))
(/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (/.f64 y (sin.f64 y)) x))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 x x) (*.f64 (/.f64 y (sin.f64 y)) x))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (/.f64 y (sin.f64 y))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 x y) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (neg.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (sin.f64 y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -2 binary64)) (*.f64 (/.f64 y (sin.f64 y)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) x) (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (/.f64 y (sin.f64 y))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 x (/.f64 y (sin.f64 y)))
(neg.f64 (*.f64 (sin.f64 y) (/.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (sin.f64 y) y)) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.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)) (pow.f64 x #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sin.f64 y))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 y x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (/.f64 y x) (sin.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 y (sin.f64 y)) x) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (sin.f64 y) (/.f64 x y) #s(literal 0 binary64))
(fma.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (/.f64 (sin.f64 y) y) x) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y (sin.f64 y))) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sin.f64 y)) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (sin.f64 y) y) (neg.f64 x) #s(literal 0 binary64))
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(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal -2 binary64)))) x)
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (sin.f64 y))) y)
(/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (sin.f64 y) y)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) x) x)
(/.f64 (/.f64 (*.f64 (/.f64 y (sin.f64 y)) x) (/.f64 y (sin.f64 y))) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (*.f64 y (pow.f64 x #s(literal -2 binary64)))) x)
(/.f64 (/.f64 (sin.f64 y) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/.f64 (/.f64 (/.f64 x y) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal -2 binary64)))) x)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/.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 (neg.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 (neg.f64 x) x) (/.f64 (sin.f64 y) y)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (sin.f64 y) y)) x)
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 x x))
(/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (/.f64 x y)))
(/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 y (sin.f64 y)) x) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -2 binary64)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal -1 binary64))
(/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (/.f64 y (sin.f64 y)) x))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 x x) (*.f64 (/.f64 y (sin.f64 y)) x))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (/.f64 y (sin.f64 y))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 x y) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (neg.f64 x) (/.f64 y (sin.f64 y)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (sin.f64 y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -2 binary64)) (*.f64 (/.f64 y (sin.f64 y)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (sin.f64 y)) x) (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (/.f64 y (sin.f64 y))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 x (/.f64 y (sin.f64 y)))
(neg.f64 (*.f64 (sin.f64 y) (/.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (sin.f64 y) y)) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.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)) (pow.f64 x #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sin.f64 y))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (/.f64 y x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (/.f64 y x) (sin.f64 y)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 y (sin.f64 y)) x) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (sin.f64 y) (/.f64 x y) #s(literal 0 binary64))
(fma.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (/.f64 (sin.f64 y) y) x) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y (sin.f64 y))) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sin.f64 y)) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (sin.f64 y) y) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 (sin.f64 y) y) x #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 y (sin.f64 y))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (/.f64 y (sin.f64 y)))) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) (sin.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) y) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (sin.f64 y))) #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (sin.f64 y) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 0 binary64))
(fma.f64 x (/.f64 (sin.f64 y) y) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -2 binary64))) (*.f64 (sin.f64 y) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) (/.f64 x y))) (*.f64 (sin.f64 y) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 2 binary64))) (*.f64 (sin.f64 y) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (sin.f64 y)) x)) (*.f64 (sin.f64 y) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (/.f64 y (sin.f64 y)))) (*.f64 (sin.f64 y) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (sin.f64 y))) (*.f64 (sin.f64 y) (/.f64 x y)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) (/.f64 x y)))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (neg.f64 (log.f64 (sin.f64 y)))))
(exp.f64 (+.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64) (log.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y))) #s(literal -1 binary64)))
(+.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal -2 binary64)) (sin.f64 y))
(*.f64 (pow.f64 (sin.f64 y) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -2 binary64))))
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sin.f64 y) #s(literal -1 binary64))
(pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (sin.f64 y) #s(literal -2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (pow.f64 (sin.f64 y) #s(literal -3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 y) #s(literal -2 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (sin.f64 y) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal -2 binary64)))
(/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 y) #s(literal -2 binary64)) (pow.f64 (sin.f64 y) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(neg.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal -2 binary64)) (sin.f64 y) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal -2 binary64))) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 (sin.f64 y))))
(+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(+.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 0 binary64))

eval195.0ms (3.6%)

Memory
32.2MiB live, 139.4MiB allocated
Compiler

Compiled 13 470 to 2 331 computations (82.7% saved)

prune81.0ms (1.5%)

Memory
-38.7MiB live, 51.4MiB allocated
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New9678975
Fresh325
Picked145
Done011
Total97115986
Accuracy
100.0%
Counts
986 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.6%
(/.f64 (*.f64 (sin.f64 y) x) y)
88.5%
(/.f64 (sin.f64 y) (/.f64 y x))
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
62.6%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
62.7%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
88.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y)))
30.8%
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) y)) (sin.f64 y))
87.5%
(*.f64 (/.f64 x y) (sin.f64 y))
87.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (sin.f64 y))
87.4%
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
51.0%
(*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sin.f64 y))
62.7%
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
52.0%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
52.2%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Compiler

Compiled 261 to 202 computations (22.6% saved)

simplify201.0ms (3.7%)

Memory
45.7MiB live, 117.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sin.f64 y))
cost-diff6
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
(/.f64 (*.f64 (sin.f64 y) x) y)
cost-diff0
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
cost-diff0
(/.f64 y x)
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 (sin.f64 y) (/.f64 y x))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027160
047154
177152
2139152
3336148
4640148
5878148
62534148
72739148
83103148
93532148
104018148
114678148
124968148
135147148
145270148
155396148
165522148
176444148
187818148
08009148
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (sin.f64 y) (/.f64 y x))
(sin.f64 y)
y
(/.f64 y x)
x
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
x
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
x
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 7/360 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sin.f64 y))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 y x)
y
(sin.f64 y)
Outputs
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(sin.f64 y)
y
(/.f64 y x)
x
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
x
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
x
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 7/360 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
y
x
(*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 x y)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (*.f64 y x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
#s(literal 1 binary64)
(*.f64 y x)
(*.f64 x y)
y
(sin.f64 y)

localize227.0ms (4.2%)

Memory
-1.3MiB live, 161.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 y)
accuracy0.614080452678322
(/.f64 #s(literal 1 binary64) (*.f64 y x))
accuracy7.976613970858083
(*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sin.f64 y))
accuracy22.551488457891285
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
accuracy0.0
(sin.f64 y)
accuracy0.12890625
(*.f64 (sin.f64 y) x)
accuracy7.908399448448774
(/.f64 (*.f64 (sin.f64 y) x) y)
accuracy0.0234375
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy0.1171875
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
accuracy0.3023217206143187
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy30.656212273507663
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy0.0
(*.f64 y y)
accuracy0.11328125
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy0.11328125
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
accuracy30.80376128462273
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
accuracy0.0
(/.f64 y x)
accuracy0.0
(sin.f64 y)
accuracy7.366655958294956
(/.f64 (sin.f64 y) (/.f64 y x))
Samples
210.0ms256×0valid
Compiler

Compiled 128 to 29 computations (77.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 158.0ms
const: 59.0ms (37.2% of total)
ival-mult: 56.0ms (35.3% of total)
ival-div: 33.0ms (20.8% of total)
ival-sin: 6.0ms (3.8% of total)
ival-add: 3.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series45.0ms (0.8%)

Memory
-35.1MiB live, 48.0MiB allocated
Counts
17 → 38
Calls
Call 1
Inputs
(/.f64 (sin.f64 y) (/.f64 y x))
(sin.f64 y)
(/.f64 y x)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sin.f64 y))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
Outputs
(/ (* x (sin y)) y)
(/ y x)
(* x (sin y))
(/ x y)
(pow x 2)
(/ 1 (* x 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))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(pow y 2)
(+ 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)))))))
1/6
(+ 1/6 (* 7/360 (pow y 2)))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(sin y)
(/ (sin y) y)
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(/ y (sin y))
(* 7/360 (pow y 4))
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 7/360 (pow y 2))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
32.0ms
x
@0
((/ (sin y) (/ y x)) (sin y) (/ y x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (sin y) x) y) (* (sin y) x) (* (* x x) (/ 1 (* y x))) (* (* (* x x) (/ 1 (* y x))) (sin y)) (* x x) (/ 1 (* y x)))
3.0ms
y
@-inf
((/ (sin y) (/ y x)) (sin y) (/ y x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (sin y) x) y) (* (sin y) x) (* (* x x) (/ 1 (* y x))) (* (* (* x x) (/ 1 (* y x))) (sin y)) (* x x) (/ 1 (* y x)))
2.0ms
x
@-inf
((/ (sin y) (/ y x)) (sin y) (/ y x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (sin y) x) y) (* (sin y) x) (* (* x x) (/ 1 (* y x))) (* (* (* x x) (/ 1 (* y x))) (sin y)) (* x x) (/ 1 (* y x)))
2.0ms
y
@inf
((/ (sin y) (/ y x)) (sin y) (/ y x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (sin y) x) y) (* (sin y) x) (* (* x x) (/ 1 (* y x))) (* (* (* x x) (/ 1 (* y x))) (sin y)) (* x x) (/ 1 (* y x)))
2.0ms
y
@0
((/ (sin y) (/ y x)) (sin y) (/ y x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (sin y) x) y) (* (sin y) x) (* (* x x) (/ 1 (* y x))) (* (* (* x x) (/ 1 (* y x))) (sin y)) (* x x) (/ 1 (* y x)))

simplify164.0ms (3%)

Memory
11.3MiB live, 201.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080335
1233335
2603321
31745315
42809315
54984315
66151315
77586315
08158279
Stop Event
iter limit
node limit
Counts
38 → 36
Calls
Call 1
Inputs
(/ (* x (sin y)) y)
(/ y x)
(* x (sin y))
(/ x y)
(pow x 2)
(/ 1 (* x 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))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(pow y 2)
(+ 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)))))))
1/6
(+ 1/6 (* 7/360 (pow y 2)))
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(sin y)
(/ (sin y) y)
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(/ y (sin y))
(* 7/360 (pow y 4))
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 7/360 (pow y 2))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
Outputs
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ y x)
(/.f64 y x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(/ x y)
(/.f64 x y)
(pow x 2)
(*.f64 x x)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 (*.f64 y y) x) x)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 7/360 (pow y 2)))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(* x y)
(*.f64 x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) x) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x))
(sin y)
(sin.f64 y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(* -1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(* 7/360 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 7/360 binary64))
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 7/360 (pow y 2))
(*.f64 #s(literal 7/360 binary64) (*.f64 y y))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))

rewrite226.0ms (4.1%)

Memory
23.2MiB live, 231.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027134
047126
1157126
2848122
37087122
08302122
Stop Event
iter limit
node limit
iter limit
Counts
17 → 821
Calls
Call 1
Inputs
(/.f64 (sin.f64 y) (/.f64 y x))
(sin.f64 y)
(/.f64 y x)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sin.f64 y))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (*.f64 y x))
Outputs
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (*.f64 (neg.f64 x) y)) #s(literal -1 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (pow.f64 y #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(*.f64 (*.f64 (sin.f64 y) (*.f64 (/.f64 x y) x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 y) x) (*.f64 (/.f64 x y) x))
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 x))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (sin.f64 y)) x)))
(*.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 (sin.f64 y)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 (*.f64 (/.f64 x y) x) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)))
(*.f64 (*.f64 (/.f64 x y) x) (/.f64 (sin.f64 y) x))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 x (sin.f64 y)) x)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) x) (/.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) x) (*.f64 x x))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x (sin.f64 y)) x)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 x y) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (*.f64 (*.f64 x (sin.f64 y)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (*.f64 (*.f64 x (sin.f64 y)) x))
(*.f64 (*.f64 x x) (/.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (*.f64 (/.f64 x y) (sin.f64 y)) #s(literal 1 binary64))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal -1 binary64)) y)
(/.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 y)) x) x) y)
(/.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 y)) x) y) x)
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (*.f64 x x)) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x x)) x)
(/.f64 (*.f64 (*.f64 (/.f64 x y) x) (sin.f64 y)) x)
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (sin.f64 y)) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 x (sin.f64 y)) x)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (sin.f64 y)) x)) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 (*.f64 x x) (/.f64 (sin.f64 y) y)) x)
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) (neg.f64 x)) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) (/.f64 x y)) x)
(/.f64 (*.f64 (sin.f64 y) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 x (sin.f64 y)) x)) x)
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x (sin.f64 y)) x)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sin.f64 y))) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (pow.f64 x #s(literal -1 binary64))) y)
(/.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (pow.f64 y #s(literal -1 binary64))) x)
(/.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 (sin.f64 y) (*.f64 (/.f64 x y) x)) x)
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y))
(/.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))) y)
(/.f64 (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))) y)
(/.f64 (neg.f64 (*.f64 (*.f64 x (sin.f64 y)) x)) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (*.f64 x y))
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)))
(/.f64 (/.f64 x y) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) x))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) x))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (*.f64 (*.f64 x (sin.f64 y)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))
(/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) #s(literal 1 binary64))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) (sin.f64 y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x)))
(neg.f64 (*.f64 (*.f64 (*.f64 x (sin.f64 y)) x) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
(neg.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (*.f64 (*.f64 x (sin.f64 y)) x)))
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (sin.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) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (sin.f64 y) #s(literal 1 binary64))
(neg.f64 (sin.f64 (neg.f64 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(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))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 x y) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 y (*.f64 x x)) x)
(*.f64 (/.f64 x (*.f64 x x)) y)
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) y)
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 x (/.f64 y (*.f64 x x)))
(*.f64 y (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 y (/.f64 x (*.f64 x x)))
(*.f64 y (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 x y) x) x)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(/.f64 (*.f64 x y) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
(neg.f64 (/.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x)
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/36 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
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eval134.0ms (2.4%)

Memory
-8.8MiB live, 156.6MiB allocated
Compiler

Compiled 14 657 to 2 222 computations (84.8% saved)

prune27.0ms (0.5%)

Memory
-28.5MiB live, 51.2MiB allocated
Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New6727679
Fresh235
Picked235
Done055
Total67618694
Accuracy
100.0%
Counts
694 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.8%
(/.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 y)) x) y) x)
87.6%
(/.f64 (*.f64 (sin.f64 y) x) y)
88.5%
(/.f64 (sin.f64 y) (/.f64 y x))
40.0%
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
62.0%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
62.7%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
88.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y)))
65.7%
(*.f64 (/.f64 (sin.f64 y) x) (*.f64 (/.f64 x y) x))
87.5%
(*.f64 (/.f64 x y) (sin.f64 y))
87.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (sin.f64 y))
87.4%
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
51.0%
(*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sin.f64 y))
62.7%
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
52.0%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
3.0%
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
52.2%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Compiler

Compiled 343 to 259 computations (24.5% saved)

simplify33.0ms (0.6%)

Memory
-1.4MiB live, 37.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 y x)
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (sin.f64 y))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 y x))
cost-diff0
#s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y)))
cost-diff0
(fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (* (sin y) x) (*.f64 x y))
cost-diff0
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
cost-diff0
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
cost-diff0
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))
cost-diff0
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
cost-diff0
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 y x)
cost-diff0
(/.f64 (/.f64 y x) (sin.f64 y))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034219
052219
175215
296213
3134213
4161213
5174213
6255213
7331213
8420213
9431213
10439213
11443213
12443213
0443206
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y)))
#s(literal 1 binary64)
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y x)
y
x
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
x
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
#s(approx (* (sin y) x) (*.f64 x y))
(*.f64 x y)
x
y
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
x
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y)))
(*.f64 #s(literal 7/360 binary64) (*.f64 y y))
#s(literal 7/360 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
y
x
(sin.f64 y)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) x)
#s(literal 1 binary64)
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 (/.f64 y (sin.f64 y)) x)
(/.f64 y x)
y
x
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) x)
x
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
#s(approx (* (sin y) x) (*.f64 x y))
(*.f64 x y)
x
y
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
x
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y)))
(*.f64 #s(literal 7/360 binary64) (*.f64 y y))
#s(literal 7/360 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 x y)
#s(literal 1 binary64)
(/.f64 y x)
y
x
(sin.f64 y)

localize105.0ms (1.9%)

Memory
13.5MiB live, 168.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 y x)
accuracy0.0
(sin.f64 y)
accuracy0.24342297473338367
(/.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy7.976613970858083
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (sin.f64 y))
accuracy0.1171875
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
accuracy0.3687279706143187
(*.f64 #s(literal 7/360 binary64) (*.f64 y y))
accuracy30.656212273507663
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
accuracy31.17644839707799
#s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y)))
accuracy0.0
(*.f64 x y)
accuracy7.908399448448774
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
accuracy30.83124450441112
#s(approx (* (sin y) x) (*.f64 x y))
accuracy0.11328125
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
accuracy0.21875
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
accuracy30.80376128462273
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
accuracy31.729062301910897
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))
accuracy0.0
(/.f64 y x)
accuracy0.0
(sin.f64 y)
accuracy0.4265861239484041
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y)))
accuracy7.351387740330734
(/.f64 (/.f64 y x) (sin.f64 y))
Samples
83.0ms256×0valid
Compiler

Compiled 130 to 28 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 15.0ms (31.8% of total)
ival-div: 13.0ms (27.5% of total)
const: 10.0ms (21.2% of total)
ival-sin: 6.0ms (12.7% of total)
ival-add: 4.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
8.5MiB live, 46.2MiB allocated
Counts
18 → 40
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y x)
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
#s(approx (* (sin y) x) (*.f64 x y))
(*.f64 x y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (sin.f64 y))
(*.f64 #s(literal 7/360 binary64) (*.f64 y y))
Outputs
(/ (* x (sin y)) y)
(/ y (* x (sin y)))
(/ y x)
(* x (sin y))
(* x y)
(/ x y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ 1 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
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* -1/6 (pow y 2))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(+ 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)))))))
1/6
(+ 1/6 (* 7/360 (pow y 2)))
(* 7/360 (pow y 2))
(sin y)
(/ (sin y) y)
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(/ y (sin y))
(* 7/360 (pow y 4))
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ 1 (/ (/ y x) (sin y))) (/ (/ y x) (sin y)) (/ y x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ (* (sin y) x) y) (* (sin y) x) (* x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ 1 (/ y x)) (* (/ 1 (/ y x)) (sin y)) (* 7/360 (* y y)))
4.0ms
y
@0
((/ 1 (/ (/ y x) (sin y))) (/ (/ y x) (sin y)) (/ y x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ (* (sin y) x) y) (* (sin y) x) (* x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ 1 (/ y x)) (* (/ 1 (/ y x)) (sin y)) (* 7/360 (* y y)))
3.0ms
y
@-inf
((/ 1 (/ (/ y x) (sin y))) (/ (/ y x) (sin y)) (/ y x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ (* (sin y) x) y) (* (sin y) x) (* x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ 1 (/ y x)) (* (/ 1 (/ y x)) (sin y)) (* 7/360 (* y y)))
3.0ms
y
@inf
((/ 1 (/ (/ y x) (sin y))) (/ (/ y x) (sin y)) (/ y x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ (* (sin y) x) y) (* (sin y) x) (* x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ 1 (/ y x)) (* (/ 1 (/ y x)) (sin y)) (* 7/360 (* y y)))
2.0ms
x
@0
((/ 1 (/ (/ y x) (sin y))) (/ (/ y x) (sin y)) (/ y x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ (* (sin y) x) y) (* (sin y) x) (* x y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ 1 (/ y x)) (* (/ 1 (/ y x)) (sin y)) (* 7/360 (* y y)))

simplify224.0ms (4.1%)

Memory
12.9MiB live, 254.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095390
1282390
2771372
32232362
43401362
55193362
66774362
77836362
08189320
Stop Event
iter limit
node limit
Counts
40 → 38
Calls
Call 1
Inputs
(/ (* x (sin y)) y)
(/ y (* x (sin y)))
(/ y x)
(* x (sin y))
(* x y)
(/ x y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ 1 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
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* -1/6 (pow y 2))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(+ 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)))))))
1/6
(+ 1/6 (* 7/360 (pow y 2)))
(* 7/360 (pow y 2))
(sin y)
(/ (sin y) y)
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(/ y (sin y))
(* 7/360 (pow y 4))
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
Outputs
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ y (* x (sin y)))
(/.f64 (/.f64 y (sin.f64 y)) x)
(/ y x)
(/.f64 y x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x y)
(*.f64 x y)
(/ x y)
(/.f64 x y)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* 1/6 (/ (pow y 2) x)) (/ 1 x))
(/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)
(+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))
(*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) x)) (* 7/360 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* -1/6 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)))
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 7/360 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))
(* 7/360 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 7/360 binary64))
(sin y)
(sin.f64 y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(* 7/360 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 7/360 binary64))
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) y) y)
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))

rewrite413.0ms (7.6%)

Memory
-0.9MiB live, 196.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034193
052193
1158187
2815187
35986187
08195180
Stop Event
iter limit
node limit
iter limit
Counts
18 → 469
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 (/.f64 y x) (sin.f64 y))
(/.f64 y x)
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))
#s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(*.f64 (*.f64 y y) #s(literal -1/6 binary64))
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
#s(approx (* (sin y) x) (*.f64 x y))
(*.f64 x y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (sin.f64 y))
(*.f64 #s(literal 7/360 binary64) (*.f64 y y))
Outputs
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) x)
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 y) x))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 x))
(*.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sin.f64 y)) x))
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (sin.f64 y) x))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (/.f64 x y) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sin.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sin.f64 y)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (neg.f64 y) x))
(*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) y)
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 y x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) x))
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (neg.f64 y) (pow.f64 (*.f64 (neg.f64 (sin.f64 y)) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 y) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 y) (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (sin.f64 y))))
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) x) (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (sin.f64 y) x)))
(*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal 1 binary64))
(*.f64 (/.f64 y x) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(*.f64 y (*.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 y (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 y (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))
(pow.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(/.f64 (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (neg.f64 (sin.f64 y))))
(/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (neg.f64 x) y))
(/.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 x y))
(/.f64 (/.f64 (neg.f64 y) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (*.f64 (neg.f64 (sin.f64 y)) x))
(/.f64 (/.f64 (neg.f64 y) x) (neg.f64 (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (neg.f64 (sin.f64 y)) y)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
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(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y)))
(*.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))))
#s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) x)
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 x (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(neg.f64 (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 x y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) x)
(*.f64 (*.f64 (sin.f64 y) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 y) x))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 x))
(*.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sin.f64 y)) x))
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (sin.f64 y) x))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sin.f64 y) y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 (sin.f64 y) x)))
(/.f64 (/.f64 x y) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sin.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(*.f64 (*.f64 #s(literal 7/360 binary64) y) y)
(*.f64 #s(literal 7/360 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 7/360 binary64))
(*.f64 y (*.f64 #s(literal 7/360 binary64) y))

eval70.0ms (1.3%)

Memory
-13.8MiB live, 109.5MiB allocated
Compiler

Compiled 10 773 to 1 344 computations (87.5% saved)

prune60.0ms (1.1%)

Memory
9.4MiB live, 48.5MiB allocated
Pruning

19 alts after pruning (7 fresh and 12 done)

PrunedKeptTotal
New4895494
Fresh325
Picked145
Done088
Total49319512
Accuracy
100.0%
Counts
512 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.6%
(/.f64 (*.f64 (sin.f64 y) x) y)
88.5%
(/.f64 (sin.f64 y) (/.f64 y x))
40.0%
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
99.8%
(/.f64 x (/.f64 y (sin.f64 y)))
62.7%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
62.0%
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
87.4%
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x)))
62.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ y x) (sin y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
65.7%
(*.f64 (/.f64 (sin.f64 y) x) (*.f64 (/.f64 x y) x))
87.5%
(*.f64 (/.f64 x y) (sin.f64 y))
87.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (sin.f64 y))
87.4%
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
51.0%
(*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sin.f64 y))
62.7%
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
52.0%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
3.0%
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
3.0%
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
52.2%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Compiler

Compiled 593 to 291 computations (50.9% saved)

regimes74.0ms (1.3%)

Memory
-11.1MiB live, 113.2MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ y x) (sin y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (sin.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x)))
(*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) x) (*.f64 (/.f64 x y) x))
(/.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 y)) x) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) (neg.f64 (sin.f64 y))))
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) y)) (sin.f64 y))
(*.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) x)))
Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
Calls

4 calls:

45.0ms
x
11.0ms
(/.f64 (sin.f64 y) y)
8.0ms
y
8.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(*.f64 x (/.f64 (sin.f64 y) y))
99.8%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes39.0ms (0.7%)

Memory
2.8MiB live, 41.0MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ y x) (sin y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
Calls

4 calls:

24.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms
x
5.0ms
y
5.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(*.f64 x (/.f64 (sin.f64 y) y))
99.8%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes36.0ms (0.7%)

Memory
-16.7MiB live, 22.7MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))))
(*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (*.f64 #s(literal 7/360 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ y x) (sin y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))))
Outputs
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
Calls

4 calls:

23.0ms
x
4.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms
y
4.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
62.7%1x
62.7%1y
62.7%1(*.f64 x (/.f64 (sin.f64 y) y))
62.7%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes11.0ms (0.2%)

Memory
22.0MiB live, 22.0MiB allocated
Accuracy

Total -31.8b remaining (-103.9%)

Threshold costs -31.8b (-103.9%)

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

4 calls:

2.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
2.0ms
y
2.0ms
x
2.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
52.2%1(/.f64 (sin.f64 y) y)
52.2%1x
52.2%1y
52.2%1(*.f64 x (/.f64 (sin.f64 y) y))
Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify35.0ms (0.6%)

Memory
-25.3MiB live, 17.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01833
12033
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

soundness454.0ms (8.3%)

Memory
14.8MiB live, 372.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101319
1283316
2790302
32420290
44256290
57618290
08151256
0512
0812
11912
27212
333612
0180712
043150
1118150
2310140
3908138
41439138
52228138
63353138
73636138
84364138
96802138
08471120
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 68 to 43 computations (36.8% saved)

preprocess88.0ms (1.6%)

Memory
4.5MiB live, 128.1MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 126 to 86 computations (31.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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