Linear.Quaternion:$cexp from linear-1.19.1.3

Time bar (total: 6.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze12.0ms (0.2%)

Memory
27.5MiB live, 27.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample1.5s (24.5%)

Memory
23.5MiB live, 1 520.7MiB allocated; 507ms collecting garbage
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 702.0ms
ival-sin: 374.0ms (53.3% of total)
ival-div: 213.0ms (30.4% of total)
ival-mult: 102.0ms (14.5% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 4.0ms (0.6% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain92.0ms (1.5%)

Memory
5.5MiB live, 158.2MiB allocated; 9ms collecting garbage
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
58.0ms512×0valid
Compiler

Compiled 38 to 19 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 12.0ms (42.5% of total)
ival-sin: 11.0ms (39% of total)
ival-div: 4.0ms (14.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess72.0ms (1.1%)

Memory
-21.0MiB live, 72.7MiB allocated; 5ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(abs y)

(negabs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
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)

simplify4.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
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

localize25.0ms (0.4%)

Memory
-17.8MiB live, 31.1MiB allocated; 5ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 y)
accuracy0.08984375
(*.f64 x (/.f64 (sin.f64 y) y))
accuracy0.12109375
(/.f64 (sin.f64 y) y)
Samples
20.0ms256×0valid
Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sin: 6.0ms (58.3% of total)
ival-div: 2.0ms (19.4% of total)
ival-mult: 2.0ms (19.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
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))

simplify288.0ms (4.6%)

Memory
-6.7MiB live, 223.4MiB allocated; 39ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite298.0ms (4.7%)

Memory
-3.0MiB live, 199.0MiB allocated; 161ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval28.0ms (0.4%)

Memory
3.7MiB live, 50.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 976 to 631 computations (78.8% saved)

prune10.0ms (0.2%)

Memory
26.5MiB live, 26.5MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New15412166
Fresh000
Picked011
Done000
Total15413167
Accuracy
100.0%
Counts
167 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.3%
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) y))
69.4%
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y))
87.7%
(/.f64 (*.f64 (sin.f64 y) x) y)
88.3%
(*.f64 (/.f64 x y) (sin.f64 y))
65.7%
(*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y)))
48.6%
(*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y))
50.8%
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) y))
16.3%
(*.f64 x (/.f64 (sin.f64 (-.f64 (neg.f64 y) (PI.f64))) y))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
54.3%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
54.3%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
54.2%
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
53.8%
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
Compiler

Compiled 388 to 277 computations (28.6% saved)

simplify137.0ms (2.2%)

Memory
8.1MiB live, 195.7MiB allocated; 22ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff3
(*.f64 #s(literal 0 binary64) (cos.f64 y))
cost-diff3
(*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
cost-diff3
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y))))
cost-diff4
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y))
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) x)
cost-diff0
(/.f64 (*.f64 (sin.f64 y) x) y)
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
cost-diff0
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
cost-diff0
#s(approx (/ (sin y) y) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
cost-diff0
(sin.f64 y)
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) (sin.f64 y))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031184
053152
1118146
2451136
32141136
46176136
08669136
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
x
y
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
x
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
x
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
(*.f64 #s(literal 1/120 binary64) y)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y)))
x
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y))
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
#s(literal -1 binary64)
(sin.f64 y)
y
(neg.f64 y)
(*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(*.f64 #s(literal 0 binary64) (cos.f64 y))
#s(literal 0 binary64)
(cos.f64 y)
(*.f64 y y)
Outputs
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 x y)
x
y
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x)
x
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
#s(approx (* x (/ (sin y) y)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
x
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
(*.f64 #s(literal 1/120 binary64) y)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y)))
(*.f64 (/.f64 (sin.f64 y) y) x)
x
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y))
(/.f64 (sin.f64 y) y)
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(*.f64 (sin.f64 y) y)
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(neg.f64 (sin.f64 y))
#s(literal -1 binary64)
(sin.f64 y)
y
(neg.f64 y)
(*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
#s(literal 0 binary64)
(*.f64 #s(literal 0 binary64) (cos.f64 y))
#s(literal 0 binary64)
#s(literal 0 binary64)
(cos.f64 y)
(*.f64 y y)

localize125.0ms (2%)

Memory
-33.3MiB live, 259.3MiB allocated; 38ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 y)
accuracy0.08984375
(*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y)))
accuracy0.10546875
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y))))
accuracy26.977601525261754
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y))
accuracy0.0
(sin.f64 y)
accuracy0.1484375
(*.f64 (sin.f64 y) x)
accuracy7.8645024430922525
(/.f64 (*.f64 (sin.f64 y) x) y)
accuracy0.08984375
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
accuracy0.1328125
(*.f64 #s(literal 1/120 binary64) y)
accuracy2.1635993073803492
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
accuracy29.539147691545516
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
accuracy0.08984375
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy29.423792837490335
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy0.0
(/.f64 x y)
accuracy0.0
(sin.f64 y)
accuracy7.47549793984504
(*.f64 (/.f64 x y) (sin.f64 y))
Samples
94.0ms256×0valid
Compiler

Compiled 176 to 32 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 38.0ms (49.6% of total)
ival-div: 14.0ms (18.3% of total)
const: 7.0ms (9.1% of total)
ival-sin: 6.0ms (7.8% of total)
ival-cos: 5.0ms (6.5% of total)
ival-add: 4.0ms (5.2% of total)
ival-neg: 3.0ms (3.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series34.0ms (0.5%)

Memory
16.3MiB live, 63.3MiB allocated; 2ms collecting garbage
Counts
19 → 43
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y))
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(*.f64 #s(literal 0 binary64) (cos.f64 y))
(*.f64 #s(literal 1/120 binary64) y)
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
(*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y)))
(cos.f64 y)
Outputs
(/ (* x (sin y)) y)
(/ x y)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (sin y))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(pow y 2)
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
0
(* 1/120 y)
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(sin y)
(/ (sin y) y)
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* y (sin y))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(cos y)
Calls

6 calls:

TimeVariablePointExpression
20.0ms
y
@inf
((* (/ x y) (sin y)) (/ x y) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (* x (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1)) (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y)) (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* (neg y) (* 0 (cos y))) (* 0 (cos y)) (* 1/120 y) (+ (* (* 1/120 y) y) -1/6) (* x (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y))) (cos y))
4.0ms
x
@-inf
((* (/ x y) (sin y)) (/ x y) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (* x (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1)) (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y)) (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* (neg y) (* 0 (cos y))) (* 0 (cos y)) (* 1/120 y) (+ (* (* 1/120 y) y) -1/6) (* x (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y))) (cos y))
3.0ms
y
@-inf
((* (/ x y) (sin y)) (/ x y) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (* x (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1)) (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y)) (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* (neg y) (* 0 (cos y))) (* 0 (cos y)) (* 1/120 y) (+ (* (* 1/120 y) y) -1/6) (* x (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y))) (cos y))
3.0ms
x
@0
((* (/ x y) (sin y)) (/ x y) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (* x (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1)) (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y)) (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* (neg y) (* 0 (cos y))) (* 0 (cos y)) (* 1/120 y) (+ (* (* 1/120 y) y) -1/6) (* x (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y))) (cos y))
2.0ms
x
@inf
((* (/ x y) (sin y)) (/ x y) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (* x (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1)) (+ (* (* y y) (+ (* (* 1/120 y) y) -1/6)) 1) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y)) (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* (neg y) (* 0 (cos y))) (* 0 (cos y)) (* 1/120 y) (+ (* (* 1/120 y) y) -1/6) (* x (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y))) (cos y))

simplify178.0ms (2.8%)

Memory
28.2MiB live, 299.5MiB allocated; 64ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094429
1305429
2947407
34050397
08076357
Stop Event
iter limit
node limit
Counts
43 → 41
Calls
Call 1
Inputs
(/ (* x (sin y)) y)
(/ x y)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (sin y))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(pow y 2)
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
0
(* 1/120 y)
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(sin y)
(/ (sin y) y)
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* y (sin y))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(cos y)
Outputs
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/ x y)
(/.f64 x y)
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 (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 (sin y))
(*.f64 (sin.f64 y) x)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(*.f64 (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 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)))) (*.f64 y y) 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 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) y)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (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 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 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 (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 (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 5 binary64)) (*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)))
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/6 binary64) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) y)
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y))
0
#s(literal 0 binary64)
(* 1/120 y)
(*.f64 #s(literal 1/120 binary64) y)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 y y) #s(literal 1 binary64))
(sin y)
(sin.f64 y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(* 1/120 (* x (pow y 4)))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) x)
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(*.f64 (fma.f64 x (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal -1/120 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(* 1/120 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* y (sin y))
(*.f64 (sin.f64 y) y)
(* 1/120 (pow y 2))
(*.f64 #s(literal 1/120 binary64) (*.f64 y y))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(cos y)
(cos.f64 y)

rewrite204.0ms (3.2%)

Memory
-39.7MiB live, 305.1MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031156
053125
1170119
21204109
09799109
Stop Event
iter limit
node limit
iter limit
Counts
19 → 807
Calls
Call 1
Inputs
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y))
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(*.f64 #s(literal 0 binary64) (cos.f64 y))
(*.f64 #s(literal 1/120 binary64) y)
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))
(*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y)))
(cos.f64 y)
Outputs
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y))
(*.f64 (*.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y))
(*.f64 (*.f64 x (neg.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 y y)))
(*.f64 (*.f64 x (/.f64 (neg.f64 (sin.f64 y)) y)) #s(literal -1 binary64))
(*.f64 (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y) (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y))
(*.f64 (/.f64 (*.f64 (sin.f64 y) y) y) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 y) y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (*.f64 (/.f64 (sin.f64 y) y) x)) #s(literal 0 binary64)) (*.f64 (/.f64 (sin.f64 y) y) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (*.f64 (/.f64 (sin.f64 y) y) x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (sin.f64 y) y) y) x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 (sin.f64 y) y) y))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (pow.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sin.f64 y) y) y)))
(/.f64 (*.f64 (neg.f64 x) (pow.f64 (*.f64 (sin.f64 y) y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (*.f64 (pow.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64)) y)))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y)
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (neg.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 y) y) y) x) y)
(/.f64 (*.f64 x (/.f64 (*.f64 (sin.f64 y) y) y)) y)
(/.f64 (*.f64 x (pow.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64))) (*.f64 y (*.f64 (*.f64 (sin.f64 y) y) y)))
(/.f64 (*.f64 x (pow.f64 (*.f64 (sin.f64 y) y) #s(literal 3 binary64))) (*.f64 y (*.f64 (pow.f64 (*.f64 (sin.f64 y) y) #s(literal 2 binary64)) y)))
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y))
(/.f64 (*.f64 (*.f64 (neg.f64 y) (sin.f64 y)) x) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (neg.f64 y)) y))
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 y) y) y) x) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sin.f64 y) y) y)) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) (sin.f64 y)) x) (*.f64 y y)))
(neg.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 (neg.f64 y) y)))
(neg.f64 (*.f64 (sin.f64 y) (/.f64 (neg.f64 x) y)))
(neg.f64 (*.f64 x (/.f64 (neg.f64 (sin.f64 y)) y)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (sin.f64 y) y) y)))
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) x))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) y))
(fma.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y) #s(literal 0 binary64))
(fma.f64 (*.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (*.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 (*.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 y y)) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (*.f64 x (neg.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 y y)) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 (*.f64 x (neg.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (/.f64 (neg.f64 (sin.f64 y)) y)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (*.f64 x (/.f64 (neg.f64 (sin.f64 y)) y)) #s(literal -1 binary64) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 (*.f64 x (/.f64 (neg.f64 (sin.f64 y)) y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y) (/.f64 (neg.f64 x) y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y) (/.f64 (neg.f64 x) y) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y) (/.f64 (neg.f64 x) y) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) y) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (sin.f64 y) y) y) (/.f64 x y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (/.f64 (*.f64 (sin.f64 y) y) y) (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 (/.f64 (*.f64 (sin.f64 y) y) y) (/.f64 x y) #s(literal 0 binary64))
(fma.f64 (/.f64 (sin.f64 y) y) x (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (/.f64 (sin.f64 y) y) x (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 (/.f64 (sin.f64 y) y) x #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y)) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y)) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 x y) (*.f64 (/.f64 (sin.f64 y) y) x))
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (sin.f64 y) (/.f64 x y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (sin.f64 y) (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 (sin.f64 y) (/.f64 x y) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 y) y) y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 y) y) y) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 y) y) y) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 y) y) x))
(fma.f64 (/.f64 x y) (sin.f64 y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (/.f64 x y) (sin.f64 y) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 (/.f64 x y) (sin.f64 y) #s(literal 0 binary64))
(fma.f64 x (/.f64 (sin.f64 y) y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 x (/.f64 (sin.f64 y) y) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 x (/.f64 (sin.f64 y) y) #s(literal 0 binary64))
(-.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) (*.f64 (/.f64 (sin.f64 y) y) x))
(+.f64 (*.f64 (/.f64 x y) #s(literal 0 binary64)) (*.f64 (/.f64 (sin.f64 y) y) x))
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 y) y) x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 (sin.f64 y)) #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))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 (neg.f64 (+.f64 y (PI.f64))))
(sin.f64 (+.f64 (+.f64 y (PI.f64)) (PI.f64)))
(sin.f64 (fma.f64 #s(literal -1 binary64) y (PI.f64)))
(sin.f64 y)
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(fma.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 x y) (*.f64 (/.f64 (sin.f64 y) y) x))
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (sin.f64 y) (/.f64 x y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (sin.f64 y) (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 (sin.f64 y) (/.f64 x y) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 y) y) y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 y) y) y) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 y) y) y) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 y) y) x))
(fma.f64 (/.f64 x y) (sin.f64 y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (/.f64 x y) (sin.f64 y) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 (/.f64 x y) (sin.f64 y) #s(literal 0 binary64))
(fma.f64 x (/.f64 (sin.f64 y) y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 x (/.f64 (sin.f64 y) y) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 x (/.f64 (sin.f64 y) y) #s(literal 0 binary64))
(-.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) (*.f64 (/.f64 (sin.f64 y) y) x))
(+.f64 (*.f64 (/.f64 x y) #s(literal 0 binary64)) (*.f64 (/.f64 (sin.f64 y) y) x))
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 y) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 1 binary64)) (*.f64 (cos.f64 y) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (cos.f64 y) (*.f64 #s(literal 0 binary64) (sin.f64 y)))
(sin.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 y))
(cos.f64 y)
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y)))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 y) #s(literal 1 binary64)))

eval105.0ms (1.7%)

Memory
33.8MiB live, 177.1MiB allocated; 14ms collecting garbage
Compiler

Compiled 15 915 to 2 193 computations (86.2% saved)

prune25.0ms (0.4%)

Memory
-26.5MiB live, 61.9MiB allocated; 12ms collecting garbage
Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New6848692
Fresh437
Picked145
Done011
Total68916705
Accuracy
100.0%
Counts
705 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.6%
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y)
69.4%
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y))
56.0%
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y))
16.3%
(/.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) y)
87.7%
(/.f64 (*.f64 (sin.f64 y) x) y)
42.2%
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
88.3%
(*.f64 (/.f64 x y) (sin.f64 y))
87.2%
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
75.1%
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
99.3%
(*.f64 x (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)))
54.3%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
54.3%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
54.3%
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
54.2%
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
53.8%
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
Compiler

Compiled 314 to 228 computations (27.4% saved)

simplify197.0ms (3.1%)

Memory
25.0MiB live, 172.8MiB allocated; 44ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
024126
040124
176116
2185116
3594116
42328116
54966116
66728116
77665116
08506116
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 x (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)))
x
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))
(sin.f64 y)
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal -1/6 binary64)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
#s(approx (* (sin y) x) (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y))
(*.f64 (*.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) y)
(sin.f64 y)
y
x
(*.f64 y y)
Outputs
(*.f64 x (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (sin.f64 y) y) x)
x
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
#s(approx (* (/ x y) (sin y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal -1/6 binary64)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
#s(approx (* (sin y) x) (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (*.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) y)
(sin.f64 y)
y
x
(*.f64 y y)

localize95.0ms (1.5%)

Memory
13.8MiB live, 153.7MiB allocated; 24ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 y)
accuracy0.10546875
(*.f64 (sin.f64 y) y)
accuracy2.9159832319217514
(*.f64 (*.f64 (sin.f64 y) y) x)
accuracy27.685823470409645
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y))
accuracy0.0
(/.f64 #s(literal 1 binary64) y)
accuracy0.0
(sin.f64 y)
accuracy0.1484375
(*.f64 (sin.f64 y) x)
accuracy8.170405094524181
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
accuracy0.0
(*.f64 y x)
accuracy7.8645024430922525
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
accuracy29.511901654028005
#s(approx (* (sin y) x) (*.f64 y x))
accuracy0.0
(*.f64 y y)
accuracy0.2967193737039004
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
accuracy6.85874240531776
(*.f64 (*.f64 y y) x)
accuracy29.25199422920699
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
accuracy0.0
(/.f64 #s(literal 1 binary64) y)
accuracy0.0
(sin.f64 y)
accuracy0.08984375
(*.f64 x (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)))
accuracy0.46712875976844204
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))
Samples
81.0ms256×0valid
Compiler

Compiled 112 to 23 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-div: 26.0ms (41.3% of total)
ival-mult: 25.0ms (39.7% of total)
ival-sin: 6.0ms (9.5% of total)
const: 4.0ms (6.4% of total)
ival-add: 1.0ms (1.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
-4.0MiB live, 41.6MiB allocated; 7ms collecting garbage
Counts
16 → 35
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))
(*.f64 x (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)))
(sin.f64 y)
(/.f64 #s(literal 1 binary64) y)
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
#s(approx (* (sin y) x) (*.f64 y x))
(*.f64 y x)
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (sin.f64 y) x)
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y))
(*.f64 (*.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) y)
Outputs
(/ (* x (sin y)) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (pow y 2))
(* x (sin y))
(* x y)
(* x (* y (sin y)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
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 y)
(pow y 2)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* (pow y 2) (+ x (* -1/6 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ (sin y) y)
(sin y)
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* y (sin y))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@0
((* (sin y) (/ 1 y)) (* x (* (sin y) (/ 1 y))) (sin y) (/ 1 y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* y x) (* (* (sin y) x) (/ 1 y)) (* (sin y) x) (/ (* (* (sin y) y) x) (* y y)) (* (* (sin y) y) x) (* (sin y) y))
5.0ms
x
@-inf
((* (sin y) (/ 1 y)) (* x (* (sin y) (/ 1 y))) (sin y) (/ 1 y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* y x) (* (* (sin y) x) (/ 1 y)) (* (sin y) x) (/ (* (* (sin y) y) x) (* y y)) (* (* (sin y) y) x) (* (sin y) y))
3.0ms
x
@inf
((* (sin y) (/ 1 y)) (* x (* (sin y) (/ 1 y))) (sin y) (/ 1 y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* y x) (* (* (sin y) x) (/ 1 y)) (* (sin y) x) (/ (* (* (sin y) y) x) (* y y)) (* (* (sin y) y) x) (* (sin y) y))
3.0ms
y
@-inf
((* (sin y) (/ 1 y)) (* x (* (sin y) (/ 1 y))) (sin y) (/ 1 y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* y x) (* (* (sin y) x) (/ 1 y)) (* (sin y) x) (/ (* (* (sin y) y) x) (* y y)) (* (* (sin y) y) x) (* (sin y) y))
2.0ms
y
@inf
((* (sin y) (/ 1 y)) (* x (* (sin y) (/ 1 y))) (sin y) (/ 1 y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* y x) (* (* (sin y) x) (/ 1 y)) (* (sin y) x) (/ (* (* (sin y) y) x) (* y y)) (* (* (sin y) y) x) (* (sin y) y))

simplify157.0ms (2.5%)

Memory
-7.2MiB live, 179.1MiB allocated; 31ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065384
1241384
2794356
33541350
47634350
08148318
Stop Event
iter limit
node limit
Counts
35 → 33
Calls
Call 1
Inputs
(/ (* x (sin y)) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (pow y 2))
(* x (sin y))
(* x y)
(* x (* y (sin y)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
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 y)
(pow y 2)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* (pow y 2) (+ x (* -1/6 (* x (pow y 2)))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ (sin y) y)
(sin y)
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* y (sin y))
Outputs
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x y)
(*.f64 x y)
(* x (* y (sin y)))
(*.f64 (*.f64 (sin.f64 y) y) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))
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 #s(literal 1/120 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y y) x)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(pow y 2)
(*.f64 y 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 x (fma.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 x y))
(* (pow y 2) (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/6 binary64) (*.f64 y y)) x)
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) y) y)
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y y) x) (*.f64 y y))
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/6 binary64) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y))
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(sin y)
(sin.f64 y)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* y (sin y))
(*.f64 (sin.f64 y) y)

rewrite150.0ms (2.4%)

Memory
-1.3MiB live, 228.3MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024103
040101
110393
242793
3332993
0903693
Stop Event
iter limit
node limit
iter limit
Counts
16 → 427
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))
(*.f64 x (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)))
(sin.f64 y)
(/.f64 #s(literal 1 binary64) y)
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
#s(approx (* (sin y) x) (*.f64 y x))
(*.f64 y x)
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (sin.f64 y) x)
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y))
(*.f64 (*.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) y)
Outputs
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.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 (sin.f64 y) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (sin.f64 y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 y (/.f64 (sin.f64 y) (*.f64 y y)))
(/.f64 (*.f64 (sin.f64 y) y) (*.f64 y y))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (/.f64 x y) y) (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x (sin.f64 y)))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) (sin.f64 y)) y)
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (/.f64 x y) y) (*.f64 (sin.f64 y) y))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 (/.f64 x y) y))
(*.f64 (*.f64 x (sin.f64 y)) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 x y) (/.f64 (sin.f64 y) (*.f64 y y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 y (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x y)))
(*.f64 y (*.f64 (/.f64 (/.f64 x y) y) (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x y))) y)
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x y)) y)
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(neg.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (/.f64 (sin.f64 y) y) y)
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 (sin.f64 y) #s(literal -1 binary64))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 y (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (sin.f64 y) y) y)
(neg.f64 (sin.f64 y))
(fma.f64 (sin.f64 y) (cos.f64 (PI.f64)) (*.f64 (cos.f64 y) (sin.f64 (PI.f64))))
(sin.f64 (neg.f64 (+.f64 y (PI.f64))))
(sin.f64 (+.f64 (+.f64 y (PI.f64)) (PI.f64)))
(sin.f64 (+.f64 (+.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 y (PI.f64)))
(sin.f64 y)
(-.f64 (*.f64 (cos.f64 y) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 y) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (+.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(cos.f64 (+.f64 (+.f64 y (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (sin.f64 y) (cos.f64 (PI.f64))) (*.f64 (cos.f64 y) (sin.f64 (PI.f64))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y))
(pow.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 y #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal 1 binary64) y)
(/.f64 y (*.f64 y y))
(neg.f64 (pow.f64 y #s(literal -1 binary64)))
(sqrt.f64 (/.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))))
(fabs.f64 (pow.f64 y #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (log.f64 y)))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))))
#s(approx (* (/ x y) (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/6 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/6 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 6 binary64)) #s(literal 1/46656 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) x) (-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/6 binary64))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) (-.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))
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(+.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) #s(literal -1/6 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)))
(+.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))) (*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))))
(+.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))) (*.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) x)
(+.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)))
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 y y) x)
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(neg.f64 (*.f64 (*.f64 y y) x))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (*.f64 y y) x))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 y y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 y y))
(exp.f64 (/.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y)
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
(neg.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y))
#s(approx (* (sin y) x) (*.f64 x y))
(neg.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))))
(*.f64 x y)
(*.f64 y x)
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x y))
(*.f64 (*.f64 (/.f64 x y) y) (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x (sin.f64 y)))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) (sin.f64 y)) y)
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (/.f64 x y) y) (*.f64 (sin.f64 y) y))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 (/.f64 x y) y))
(*.f64 (*.f64 x (sin.f64 y)) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 x y) (/.f64 (sin.f64 y) (*.f64 y y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 y (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x y)))
(*.f64 y (*.f64 (/.f64 (/.f64 x y) y) (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x y))) y)
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x y)) y)
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(neg.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (*.f64 #s(literal -1 binary64) x) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y)))
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 x y))
(*.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
(*.f64 (*.f64 x y) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (*.f64 (sin.f64 y) y))
(*.f64 x (sin.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(*.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) x))
(*.f64 (sin.f64 y) x)
(*.f64 y (*.f64 (/.f64 (sin.f64 y) y) x))
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y)
(neg.f64 (*.f64 x (sin.f64 y)))
(*.f64 (*.f64 (/.f64 x y) y) (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x (sin.f64 y)))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) (sin.f64 y)) y)
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (/.f64 x y) y) (*.f64 (sin.f64 y) y))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 (/.f64 x y) y))
(*.f64 (*.f64 x (sin.f64 y)) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 x y) (/.f64 (sin.f64 y) (*.f64 y y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 y (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x y)))
(*.f64 y (*.f64 (/.f64 (/.f64 x y) y) (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x y))) y)
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x y)) y)
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(neg.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (sin.f64 y))
(*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x (sin.f64 y)))
(*.f64 (*.f64 (*.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(*.f64 (*.f64 (sin.f64 y) y) x)
(*.f64 (*.f64 x (sin.f64 y)) (*.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (*.f64 x y) (sin.f64 y))
(*.f64 x (*.f64 (sin.f64 y) y))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 y) y) x))
(*.f64 (sin.f64 y) (*.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (sin.f64 y) (*.f64 x y))
(*.f64 y (*.f64 x (sin.f64 y)))
(neg.f64 (*.f64 (*.f64 (sin.f64 y) y) x))
(*.f64 (*.f64 y #s(literal 1 binary64)) (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (*.f64 #s(literal 1 binary64) y))
(*.f64 (sin.f64 y) y)
(*.f64 y (sin.f64 y))
(neg.f64 (*.f64 (sin.f64 y) y))

eval176.0ms (2.8%)

Memory
20.0MiB live, 189.1MiB allocated; 87ms collecting garbage
Compiler

Compiled 15 640 to 1 485 computations (90.5% saved)

prune52.0ms (0.8%)

Memory
-3.8MiB live, 62.2MiB allocated; 40ms collecting garbage
Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New4927499
Fresh066
Picked145
Done055
Total49322515
Accuracy
100.0%
Counts
515 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.6%
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y)
69.4%
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y))
56.0%
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y))
16.3%
(/.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) y)
87.7%
(/.f64 (*.f64 (sin.f64 y) x) y)
3.8%
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y)
42.2%
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
88.3%
(*.f64 (/.f64 x y) (sin.f64 y))
87.2%
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
75.1%
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
99.3%
(*.f64 x (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)))
54.3%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
54.3%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
54.3%
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x))
54.3%
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x))
54.3%
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x))
54.3%
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x))
53.1%
#s(approx (* (/ x y) (sin y)) (fma.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) x))) (*.f64 (*.f64 y y) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))))
3.2%
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
54.2%
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
53.8%
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
Compiler

Compiled 522 to 342 computations (34.5% saved)

simplify145.0ms (2.3%)

Memory
-1.9MiB live, 129.8MiB allocated; 33ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (+.f64 y (PI.f64)))
cost-diff0
(*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x)
cost-diff0
(/.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) y)
cost-diff3
(sin.f64 (neg.f64 (+.f64 y (PI.f64))))
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (* (sin y) x) (*.f64 x y))
cost-diff0
(neg.f64 #s(approx (* (sin y) x) (*.f64 x y)))
cost-diff0
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y)
cost-diff0
(*.f64 #s(literal -1/6 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x)
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)
cost-diff0
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x))
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
cost-diff0
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
cost-diff0
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y))
cost-diff2
(*.f64 x (/.f64 #s(literal 1 binary64) y))
cost-diff4
(/.f64 (*.f64 (sin.f64 y) y) y)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037192
060188
1105175
2234169
3600169
41435169
53373169
65501169
08086169
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
x
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 (*.f64 (sin.f64 y) y) y)
(*.f64 (sin.f64 y) y)
(sin.f64 y)
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal -1/6 binary64)
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x)
(*.f64 #s(literal -1/6 binary64) y)
#s(literal -1/6 binary64)
y
x
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y)
(neg.f64 #s(approx (* (sin y) x) (*.f64 x y)))
#s(approx (* (sin y) x) (*.f64 x y))
(*.f64 x y)
x
y
(/.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) y)
(*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x)
(sin.f64 (neg.f64 (+.f64 y (PI.f64))))
(neg.f64 (+.f64 y (PI.f64)))
(+.f64 y (PI.f64))
y
(PI.f64)
x
Outputs
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
x
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 (*.f64 (sin.f64 y) y) y)
(sin.f64 y)
(*.f64 (sin.f64 y) y)
(sin.f64 y)
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
#s(literal -1/6 binary64)
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x))
#s(approx (* (/ x y) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x)
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x)
(*.f64 #s(literal -1/6 binary64) y)
#s(literal -1/6 binary64)
y
x
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (neg.f64 y))
(neg.f64 #s(approx (* (sin y) x) (*.f64 x y)))
(neg.f64 #s(approx (* (sin y) x) (*.f64 y x)))
#s(approx (* (sin y) x) (*.f64 x y))
#s(approx (* (sin y) x) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
(/.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x)
(*.f64 (sin.f64 y) x)
(sin.f64 (neg.f64 (+.f64 y (PI.f64))))
(sin.f64 y)
(neg.f64 (+.f64 y (PI.f64)))
(neg.f64 (+.f64 (PI.f64) y))
(+.f64 y (PI.f64))
(+.f64 (PI.f64) y)
y
(PI.f64)
x

localize258.0ms (4.1%)

Memory
10.3MiB live, 392.0MiB allocated; 82ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1484375
(*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x)
accuracy0.2421816038481547
(PI.f64)
accuracy7.8645024430922525
(/.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) y)
accuracy60.54401851185715
(sin.f64 (neg.f64 (+.f64 y (PI.f64))))
accuracy0.0
(*.f64 x y)
accuracy0.0
(neg.f64 #s(approx (* (sin y) x) (*.f64 x y)))
accuracy7.8645024430922525
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y)
accuracy29.511901654028005
#s(approx (* (sin y) x) (*.f64 x y))
accuracy0.0625
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)
accuracy0.16796875
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x)
accuracy0.3046875
(*.f64 #s(literal -1/6 binary64) y)
accuracy29.25199422920699
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x))
accuracy0.4060943737039004
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
accuracy6.85874240531776
(*.f64 (*.f64 y y) x)
accuracy29.25199422920699
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
accuracy33.008964435032475
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
accuracy0.10546875
(*.f64 (sin.f64 y) y)
accuracy0.19140625
(*.f64 x (/.f64 #s(literal 1 binary64) y))
accuracy7.234380298181584
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y))
accuracy13.283927364404487
(/.f64 (*.f64 (sin.f64 y) y) y)
Samples
177.0ms197×1valid
51.0ms51×2valid
2.0ms0valid
1.0ms5exit
Compiler

Compiled 148 to 32 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-sin: 48.0ms (34.1% of total)
ival-mult: 27.0ms (19.2% of total)
ival-add: 23.0ms (16.3% of total)
adjust: 17.0ms (12.1% of total)
ival-div: 11.0ms (7.8% of total)
const: 6.0ms (4.3% of total)
ival-neg: 6.0ms (4.3% of total)
ival-pi: 3.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series81.0ms (1.3%)

Memory
-11.6MiB live, 63.9MiB allocated; 93ms collecting garbage
Counts
22 → 62
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 y) y) y)
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y))
(/.f64 #s(literal 1 binary64) y)
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(*.f64 (*.f64 y y) x)
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x)
(*.f64 #s(literal -1/6 binary64) y)
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y)
(neg.f64 #s(approx (* (sin y) x) (*.f64 x y)))
#s(approx (* (sin y) x) (*.f64 x y))
(*.f64 x y)
(sin.f64 (neg.f64 (+.f64 y (PI.f64))))
(/.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) y)
(*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x)
(neg.f64 (+.f64 y (PI.f64)))
(*.f64 (sin.f64 y) y)
(PI.f64)
Outputs
(/ x y)
(/ (* x (sin y)) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* x (pow y 2))
(* -1/6 (* x y))
(* -1 (/ (* x (sin y)) y))
(* -1 (* x (sin y)))
(* x (sin y))
(* x y)
(/ (* x (sin (neg (+ y (PI))))) y)
(* x (sin (neg (+ y (PI)))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
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))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ 1 y)
(* -1/6 y)
(* -1 x)
(+ (* -1 x) (* 1/6 (* x (pow y 2))))
(+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x))))
(+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2))))))))
(* -1 (* x y))
(* y (- (* 1/6 (* x (pow y 2))) x))
(* y (- (* (pow y 2) (- (* -1/120 (* x (pow y 2))) (* -1/6 x))) x))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* x (pow y 2))) (* 1/120 x))) (* -1/6 x))) x))
(* 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 (neg (PI)))
(+ (sin (neg (PI))) (* -1 (* y (cos (neg (PI))))))
(+ (sin (neg (PI))) (* y (+ (* -1 (cos (neg (PI)))) (* -1/2 (* y (sin (neg (PI))))))))
(+ (sin (neg (PI))) (* y (+ (* -1 (cos (neg (PI)))) (* y (+ (* -1/2 (sin (neg (PI)))) (* 1/6 (* y (cos (neg (PI))))))))))
(/ (* x (sin (neg (PI)))) y)
(/ (+ (* -1 (* x (* y (cos (neg (PI)))))) (* x (sin (neg (PI))))) y)
(/ (+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* -1/2 (* x (* y (sin (neg (PI))))))))) y)
(/ (+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* 1/6 (* x (* y (cos (neg (PI))))))))))) y)
(* x (sin (neg (PI))))
(+ (* -1 (* x (* y (cos (neg (PI)))))) (* x (sin (neg (PI)))))
(+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* -1/2 (* x (* y (sin (neg (PI)))))))))
(+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* 1/6 (* x (* y (cos (neg (PI)))))))))))
(* -1 (PI))
(- (* -1 y) (PI))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(sin (neg (+ y (PI))))
(* -1 y)
(* y (- (* -1 (/ (PI) y)) 1))
(* y (sin y))
(sin (- (* -1 y) (PI)))
(/ (* x (sin (- (* -1 y) (PI)))) y)
(* x (sin (- (* -1 y) (PI))))
(* -1 (* y (+ 1 (/ (PI) y))))
Calls

6 calls:

TimeVariablePointExpression
62.0ms
x
@inf
((/ (* (sin y) y) y) (* x (/ 1 y)) (* (* x (/ 1 y)) (/ (* (sin y) y) y)) (/ 1 y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* (* -1/6 y) x) y) x) (* (* -1/6 y) x) (* -1/6 y) (/ (neg (* (sin y) x)) y) (neg (* (sin y) x)) (* (sin y) x) (* x y) (sin (neg (+ y (PI)))) (/ (* (sin (neg (+ y (PI)))) x) y) (* (sin (neg (+ y (PI)))) x) (neg (+ y (PI))) (* (sin y) y) (PI))
4.0ms
x
@-inf
((/ (* (sin y) y) y) (* x (/ 1 y)) (* (* x (/ 1 y)) (/ (* (sin y) y) y)) (/ 1 y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* (* -1/6 y) x) y) x) (* (* -1/6 y) x) (* -1/6 y) (/ (neg (* (sin y) x)) y) (neg (* (sin y) x)) (* (sin y) x) (* x y) (sin (neg (+ y (PI)))) (/ (* (sin (neg (+ y (PI)))) x) y) (* (sin (neg (+ y (PI)))) x) (neg (+ y (PI))) (* (sin y) y) (PI))
4.0ms
y
@-inf
((/ (* (sin y) y) y) (* x (/ 1 y)) (* (* x (/ 1 y)) (/ (* (sin y) y) y)) (/ 1 y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* (* -1/6 y) x) y) x) (* (* -1/6 y) x) (* -1/6 y) (/ (neg (* (sin y) x)) y) (neg (* (sin y) x)) (* (sin y) x) (* x y) (sin (neg (+ y (PI)))) (/ (* (sin (neg (+ y (PI)))) x) y) (* (sin (neg (+ y (PI)))) x) (neg (+ y (PI))) (* (sin y) y) (PI))
3.0ms
x
@0
((/ (* (sin y) y) y) (* x (/ 1 y)) (* (* x (/ 1 y)) (/ (* (sin y) y) y)) (/ 1 y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* (* -1/6 y) x) y) x) (* (* -1/6 y) x) (* -1/6 y) (/ (neg (* (sin y) x)) y) (neg (* (sin y) x)) (* (sin y) x) (* x y) (sin (neg (+ y (PI)))) (/ (* (sin (neg (+ y (PI)))) x) y) (* (sin (neg (+ y (PI)))) x) (neg (+ y (PI))) (* (sin y) y) (PI))
3.0ms
y
@inf
((/ (* (sin y) y) y) (* x (/ 1 y)) (* (* x (/ 1 y)) (/ (* (sin y) y) y)) (/ 1 y) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* (* -1/6 y) x) y) x) (* (* -1/6 y) x) (* -1/6 y) (/ (neg (* (sin y) x)) y) (neg (* (sin y) x)) (* (sin y) x) (* x y) (sin (neg (+ y (PI)))) (/ (* (sin (neg (+ y (PI)))) x) y) (* (sin (neg (+ y (PI)))) x) (neg (+ y (PI))) (* (sin y) y) (PI))

simplify164.0ms (2.6%)

Memory
-16.2MiB live, 220.5MiB allocated; 27ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156502
1528493
22041463
36013463
08068427
Stop Event
iter limit
node limit
Counts
62 → 60
Calls
Call 1
Inputs
(/ x y)
(/ (* x (sin y)) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* x (pow y 2))
(* -1/6 (* x y))
(* -1 (/ (* x (sin y)) y))
(* -1 (* x (sin y)))
(* x (sin y))
(* x y)
(/ (* x (sin (neg (+ y (PI))))) y)
(* x (sin (neg (+ y (PI)))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
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))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ 1 y)
(* -1/6 y)
(* -1 x)
(+ (* -1 x) (* 1/6 (* x (pow y 2))))
(+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x))))
(+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2))))))))
(* -1 (* x y))
(* y (- (* 1/6 (* x (pow y 2))) x))
(* y (- (* (pow y 2) (- (* -1/120 (* x (pow y 2))) (* -1/6 x))) x))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* x (pow y 2))) (* 1/120 x))) (* -1/6 x))) x))
(* 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 (neg (PI)))
(+ (sin (neg (PI))) (* -1 (* y (cos (neg (PI))))))
(+ (sin (neg (PI))) (* y (+ (* -1 (cos (neg (PI)))) (* -1/2 (* y (sin (neg (PI))))))))
(+ (sin (neg (PI))) (* y (+ (* -1 (cos (neg (PI)))) (* y (+ (* -1/2 (sin (neg (PI)))) (* 1/6 (* y (cos (neg (PI))))))))))
(/ (* x (sin (neg (PI)))) y)
(/ (+ (* -1 (* x (* y (cos (neg (PI)))))) (* x (sin (neg (PI))))) y)
(/ (+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* -1/2 (* x (* y (sin (neg (PI))))))))) y)
(/ (+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* 1/6 (* x (* y (cos (neg (PI))))))))))) y)
(* x (sin (neg (PI))))
(+ (* -1 (* x (* y (cos (neg (PI)))))) (* x (sin (neg (PI)))))
(+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* -1/2 (* x (* y (sin (neg (PI)))))))))
(+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* 1/6 (* x (* y (cos (neg (PI)))))))))))
(* -1 (PI))
(- (* -1 y) (PI))
(pow y 2)
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(sin y)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(sin (neg (+ y (PI))))
(* -1 y)
(* y (- (* -1 (/ (PI) y)) 1))
(* y (sin y))
(sin (- (* -1 y) (PI)))
(/ (* x (sin (- (* -1 y) (PI)))) y)
(* x (sin (- (* -1 y) (PI))))
(* -1 (* y (+ 1 (/ (PI) y))))
Outputs
(/ x y)
(/.f64 x y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* -1/6 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* -1/6 (* x y))
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x)
(* -1 (/ (* x (sin y)) y))
(*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x))
(* -1 (* x (sin y)))
(*.f64 (neg.f64 x) (sin.f64 y))
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x y)
(*.f64 x y)
(/ (* x (sin (neg (+ y (PI))))) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* x (sin (neg (+ y (PI)))))
(*.f64 (sin.f64 y) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(*.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)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1/6 y)
(*.f64 #s(literal -1/6 binary64) y)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* 1/6 (* x (pow y 2))))
(*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))
(+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x))))
(neg.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x))
(+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2))))))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64))) (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (- (* 1/6 (* x (pow y 2))) x))
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)
(* y (- (* (pow y 2) (- (* -1/120 (* x (pow y 2))) (* -1/6 x))) x))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) y)
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* 1/5040 (* x (pow y 2))) (* 1/120 x))) (* -1/6 x))) x))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64))) (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)))) y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -1/5040 binary64) x) (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 x y))
(sin (neg (PI)))
#s(literal 0 binary64)
(+ (sin (neg (PI))) (* -1 (* y (cos (neg (PI))))))
y
(+ (sin (neg (PI))) (* y (+ (* -1 (cos (neg (PI)))) (* -1/2 (* y (sin (neg (PI))))))))
y
(+ (sin (neg (PI))) (* y (+ (* -1 (cos (neg (PI)))) (* y (+ (* -1/2 (sin (neg (PI)))) (* 1/6 (* y (cos (neg (PI))))))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(/ (* x (sin (neg (PI)))) y)
#s(literal 0 binary64)
(/ (+ (* -1 (* x (* y (cos (neg (PI)))))) (* x (sin (neg (PI))))) y)
x
(/ (+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* -1/2 (* x (* y (sin (neg (PI))))))))) y)
x
(/ (+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* 1/6 (* x (* y (cos (neg (PI))))))))))) y)
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* x (sin (neg (PI))))
#s(literal 0 binary64)
(+ (* -1 (* x (* y (cos (neg (PI)))))) (* x (sin (neg (PI)))))
(*.f64 x y)
(+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* -1/2 (* x (* y (sin (neg (PI)))))))))
(*.f64 x y)
(+ (* x (sin (neg (PI)))) (* y (+ (* -1 (* x (cos (neg (PI))))) (* y (+ (* -1/2 (* x (sin (neg (PI))))) (* 1/6 (* x (* y (cos (neg (PI)))))))))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)
(* -1 (PI))
(neg.f64 (PI.f64))
(- (* -1 y) (PI))
(-.f64 (neg.f64 (PI.f64)) y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/6 binary64) (*.f64 y y))
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) y)
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y))
(sin y)
(sin.f64 y)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(sin (neg (+ y (PI))))
(sin.f64 y)
(* -1 y)
(neg.f64 y)
(* y (- (* -1 (/ (PI) y)) 1))
(*.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) y) #s(literal 1 binary64)) y)
(* y (sin y))
(*.f64 (sin.f64 y) y)
(sin (- (* -1 y) (PI)))
(sin.f64 y)
(/ (* x (sin (- (* -1 y) (PI)))) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* x (sin (- (* -1 y) (PI))))
(*.f64 (sin.f64 y) x)
(* -1 (* y (+ 1 (/ (PI) y))))
(-.f64 (neg.f64 (PI.f64)) y)

rewrite210.0ms (3.3%)

Memory
14.2MiB live, 246.6MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037171
060175
1166158
2913148
37313148
08095148
Stop Event
iter limit
node limit
iter limit
Counts
22 → 523
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 y) y) y)
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y))
(/.f64 #s(literal 1 binary64) y)
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(*.f64 (*.f64 y y) x)
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x))
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)
(*.f64 (*.f64 #s(literal -1/6 binary64) y) x)
(*.f64 #s(literal -1/6 binary64) y)
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y)
(neg.f64 #s(approx (* (sin y) x) (*.f64 x y)))
#s(approx (* (sin y) x) (*.f64 x y))
(*.f64 x y)
(sin.f64 (neg.f64 (+.f64 y (PI.f64))))
(/.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) y)
(*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x)
(neg.f64 (+.f64 y (PI.f64)))
(*.f64 (sin.f64 y) y)
(PI.f64)
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) y)
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) y)))
(*.f64 (neg.f64 y) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 y)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (sin.f64 y) y))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 y (/.f64 (sin.f64 y) y))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) (*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 0 binary64) (cos.f64 y))))))
(/.f64 (*.f64 (neg.f64 y) (sin.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) y) y)
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (sin.f64 y) y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(fma.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) y) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(fma.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) y) (sin.f64 y) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(fma.f64 (/.f64 (sin.f64 y) y) y (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) y)) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(fma.f64 #s(literal 0 binary64) (cos.f64 y) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))))
(fma.f64 (cos.f64 y) #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))))
(fma.f64 (neg.f64 y) (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 (+.f64 (PI.f64) y)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 y)) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 (PI.f64) y)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (sin.f64 y) y) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(fma.f64 (*.f64 (sin.f64 y) y) (pow.f64 y #s(literal -1 binary64)) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(fma.f64 (sin.f64 y) #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(fma.f64 y (/.f64 (sin.f64 y) y) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)))
(sin.f64 (neg.f64 (+.f64 (PI.f64) y)))
(sin.f64 y)
(-.f64 (*.f64 (cos.f64 (+.f64 (PI.f64) y)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)))
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) y))))
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (PI.f64) y)))
(+.f64 (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y))) (sin.f64 y))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 (cos.f64 (+.f64 (PI.f64) y)) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 0 binary64) (cos.f64 y)))
(+.f64 (sin.f64 y) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(*.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) x)
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x))
(neg.f64 (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x y) y) (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (sin.f64 y))))
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 y) (sin.f64 y)) (/.f64 (/.f64 x y) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 y) (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 x (*.f64 y y)))
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 (/.f64 x y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 y (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x y)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 y) x) (sin.f64 y))) (*.f64 y y))
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sin.f64 y)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (sin.f64 y) y)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (*.f64 (neg.f64 y) (sin.f64 y)) (neg.f64 x)) (*.f64 y y))
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) (neg.f64 x)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (*.f64 x (sin.f64 y)) y) (*.f64 y y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(neg.f64 (/.f64 (*.f64 (*.f64 x (sin.f64 y)) y) (*.f64 (neg.f64 y) y)))
(neg.f64 (*.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (sin.f64 y))))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(neg.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (/.f64 x y) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x y)))
(fma.f64 (/.f64 x y) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 (/.f64 x y) (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(+.f64 (*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (/.f64 x y)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x y)))
(+.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) (*.f64 (/.f64 x y) (*.f64 #s(literal 0 binary64) (cos.f64 y))))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 y #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(/.f64 #s(literal 1 binary64) y)
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 #s(literal 1/6 binary64) y))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) y) x) (neg.f64 y))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x)
(*.f64 (*.f64 #s(literal 1/6 binary64) y) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y))
(*.f64 (neg.f64 y) (*.f64 (*.f64 #s(literal 1/6 binary64) y) x))
(*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y)
(*.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y))
(*.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(*.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
(*.f64 x (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) y) y)))
(*.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) y) y))
(*.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) x))
(neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)))
(*.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (neg.f64 y) x) (neg.f64 y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(*.f64 (*.f64 y y) x)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))
(*.f64 x (*.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(neg.f64 (*.f64 (*.f64 (neg.f64 y) y) x))
#s(approx (* (/ x y) (sin y)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 (PI.f64) y) (PI.f64) (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 y y)) (+.f64 (neg.f64 y) (PI.f64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) (PI.f64) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (neg.f64 y) (PI.f64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 (PI.f64) y) (PI.f64) (*.f64 y y)))))
(/.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (neg.f64 y) y)) (-.f64 (neg.f64 (PI.f64)) (neg.f64 y)))
(/.f64 (fma.f64 (PI.f64) (PI.f64) (*.f64 (neg.f64 y) y)) (neg.f64 (-.f64 (PI.f64) y)))
(/.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))) (pow.f64 (*.f64 (PI.f64) y) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 (PI.f64) y) (PI.f64) (*.f64 y y)))))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 (PI.f64) (PI.f64))) (neg.f64 (+.f64 (neg.f64 y) (PI.f64))))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 (PI.f64) (PI.f64))) (-.f64 y (PI.f64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 y y) (*.f64 (neg.f64 (PI.f64)) (neg.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (PI.f64) y) (PI.f64) (*.f64 y y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 y y (fma.f64 (PI.f64) (PI.f64) (*.f64 y (neg.f64 (PI.f64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (-.f64 (PI.f64) y) (PI.f64) (*.f64 y y)))
(/.f64 (*.f64 (-.f64 y (PI.f64)) (+.f64 (PI.f64) y)) (+.f64 (neg.f64 y) (PI.f64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 (PI.f64) y) (PI.f64) (*.f64 y y))))
(neg.f64 (+.f64 (PI.f64) y))
(fma.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 y))
(fma.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))) (neg.f64 y))
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 y))
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 y))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)) (neg.f64 y))
(fma.f64 (neg.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 y))
(fma.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 y))
(fma.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 y))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 y))
(fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (PI.f64))) (neg.f64 y))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 y))
(fma.f64 (cbrt.f64 (PI.f64)) (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (neg.f64 y))
(-.f64 (-.f64 (neg.f64 y) (cosh.f64 (log.f64 (PI.f64)))) (sinh.f64 (log.f64 (PI.f64))))
(-.f64 (/.f64 (*.f64 y y) (+.f64 (neg.f64 y) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (neg.f64 y) (PI.f64))))
(-.f64 (neg.f64 y) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(-.f64 (neg.f64 y) (PI.f64))
(+.f64 (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 (PI.f64) y) (PI.f64) (*.f64 y y)))) (neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (-.f64 (PI.f64) y) (PI.f64) (*.f64 y y)))))
(+.f64 (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 y y (fma.f64 (PI.f64) (PI.f64) (*.f64 y (neg.f64 (PI.f64)))))) (/.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) (fma.f64 y y (fma.f64 (PI.f64) (PI.f64) (*.f64 y (neg.f64 (PI.f64)))))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 (PI.f64) y) (PI.f64) (*.f64 y y)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 (PI.f64) y) (PI.f64) (*.f64 y y)))))
(+.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 (PI.f64) y) (PI.f64) (*.f64 y y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 (PI.f64) y) (PI.f64) (*.f64 y y)))))
(+.f64 (/.f64 (*.f64 y y) (+.f64 (neg.f64 y) (PI.f64))) (*.f64 (PI.f64) (/.f64 (PI.f64) (-.f64 y (PI.f64)))))
(+.f64 (neg.f64 (PI.f64)) (neg.f64 y))
(+.f64 (neg.f64 y) (neg.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (sin.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) y) (sin.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) y)
(*.f64 (*.f64 (neg.f64 y) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (sin.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) y))
(*.f64 (*.f64 (sin.f64 y) y) #s(literal 1 binary64))
(*.f64 (sin.f64 y) y)
(*.f64 y (sin.f64 y))
(neg.f64 (*.f64 (neg.f64 y) (sin.f64 y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (cbrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (neg.f64 (PI.f64))) (sqrt.f64 (neg.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64)) (PI.f64))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64)) (PI.f64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (PI.f64))))
(*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (PI.f64)))
(pow.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (PI.f64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (PI.f64))) (cosh.f64 (log.f64 (PI.f64))) (-.f64 (*.f64 (sinh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))) (*.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (PI.f64)))))
(neg.f64 (neg.f64 (PI.f64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 (PI.f64)))) (cosh.f64 (log.f64 (sqrt.f64 (PI.f64))))) (cosh.f64 (log.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(fabs.f64 (neg.f64 (PI.f64)))
(fabs.f64 (PI.f64))
(exp.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 #s(literal 3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (PI.f64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(+.f64 (cosh.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (/.f64 (*.f64 #s(literal 3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64))) (sinh.f64 (/.f64 (*.f64 #s(literal 3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (PI.f64))) #s(literal 1/3 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (PI.f64))) #s(literal 1/3 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (sinh.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64))))
(+.f64 (sinh.f64 (log.f64 (PI.f64))) (cosh.f64 (log.f64 (PI.f64))))
(+.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64))))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)

eval132.0ms (2.1%)

Memory
-6.0MiB live, 132.0MiB allocated; 41ms collecting garbage
Compiler

Compiled 11 087 to 1 937 computations (82.5% saved)

prune23.0ms (0.4%)

Memory
21.1MiB live, 65.5MiB allocated; 9ms collecting garbage
Pruning

18 alts after pruning (8 fresh and 10 done)

PrunedKeptTotal
New4825487
Fresh538
Picked235
Done279
Total49118509
Accuracy
100.0%
Counts
509 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.6%
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y)
56.0%
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y))
16.3%
(/.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) y)
87.7%
(/.f64 (*.f64 (sin.f64 y) x) y)
3.8%
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y)
42.2%
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
88.3%
(*.f64 (/.f64 x y) (sin.f64 y))
30.5%
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(approx (* (sin y) y) (*.f64 y y)) y))
88.2%
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (sin.f64 y))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
99.3%
(*.f64 x (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)))
54.3%
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) x)
15.2%
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64))
3.6%
#s(approx (/ (neg (* (sin y) x)) y) (neg.f64 x))
54.3%
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x))
53.1%
#s(approx (* (/ x y) (sin y)) (fma.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) x))) (*.f64 (*.f64 y y) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))))
54.2%
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
53.8%
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
Compiler

Compiled 706 to 311 computations (55.9% saved)

regimes74.0ms (1.2%)

Memory
23.0MiB live, 66.0MiB allocated; 14ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64))
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) x)
#s(approx (/ (neg (* (sin y) x)) y) (neg.f64 x))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y)
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(approx (* (sin y) y) (*.f64 y y)) y))
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
#s(approx (* (/ x y) (sin y)) (fma.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) x))) (*.f64 (*.f64 y y) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 (sin.f64 (-.f64 (neg.f64 y) (PI.f64))) y))
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 y (PI.f64)))) x) y)
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y)
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y))
(*.f64 x (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) (*.f64 y y)))
(*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y))
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) y))
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) y))
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
Calls

4 calls:

48.0ms
x
8.0ms
y
8.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
8.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
99.8%1(/.f64 (sin.f64 y) y)
99.8%1(*.f64 x (/.f64 (sin.f64 y) y))
99.8%1x
99.8%1y
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes75.0ms (1.2%)

Memory
-43.1MiB live, 74.3MiB allocated; 27ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64))
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) x)
#s(approx (/ (neg (* (sin y) x)) y) (neg.f64 x))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y)
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(approx (* (sin y) y) (*.f64 y y)) y))
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
#s(approx (* (/ x y) (sin y)) (fma.f64 x (/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x)) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) x))) (*.f64 (*.f64 y y) x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x) x))))
Outputs
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x))
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64))
Calls

4 calls:

56.0ms
y
9.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms
x
4.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
66.2%2(/.f64 (sin.f64 y) y)
65.9%2(*.f64 x (/.f64 (sin.f64 y) y))
54.3%1x
66.2%2y
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes9.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated; 0ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64))
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) x)
#s(approx (/ (neg (* (sin y) x)) y) (neg.f64 x))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y)
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(approx (* (sin y) y) (*.f64 y y)) y))
Outputs
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64))
#s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
Calls

2 calls:

5.0ms
y
4.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
66.2%2(/.f64 (sin.f64 y) y)
66.1%2y
Compiler

Compiled 5 to 6 computations (-20% saved)

regimes27.0ms (0.4%)

Memory
-29.4MiB live, 15.6MiB allocated; 5ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64))
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) x)
#s(approx (/ (neg (* (sin y) x)) y) (neg.f64 x))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y y) (*.f64 #s(literal -1/6 binary64) x) x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
(/.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) y)
Outputs
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x))
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64))
Calls

2 calls:

22.0ms
y
3.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
66.1%2y
66.0%2(/.f64 (sin.f64 y) y)
Compiler

Compiled 5 to 6 computations (-20% saved)

regimes6.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64))
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) x)
#s(approx (/ (neg (* (sin y) x)) y) (neg.f64 x))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
Outputs
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64))
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) x)
Calls

3 calls:

2.0ms
y
2.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
2.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
65.7%2(*.f64 x (/.f64 (sin.f64 y) y))
65.7%2(/.f64 (sin.f64 y) y)
65.6%2y
Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
1.0ms
y
1.0ms
x
1.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
15.2%1x
15.2%1y
15.2%1(*.f64 x (/.f64 (sin.f64 y) y))
15.2%1(/.f64 (sin.f64 y) y)
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch37.0ms (0.6%)

Memory
-15.8MiB live, 27.7MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
36.0ms
6408058675.955825
8905835190926.46
Samples
11.0ms128×0valid
Compiler

Compiled 297 to 226 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sin: 5.0ms (68.7% of total)
ival-div: 1.0ms (13.7% of total)
ival-mult: 1.0ms (13.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.119854786952259e-36
2.0706554647941188e-32
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
6408058675.955825
8905835190926.46
Compiler

Compiled 217 to 186 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.665237047315738e-65
5.20049244598927e-56
Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify59.0ms (0.9%)

Memory
-8.0MiB live, 48.6MiB allocated; 12ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049154
163148
282136
3113136
4196136
5436136
61115136
73338136
87519136
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(if (<=.f64 y #s(literal 10500000000 binary64)) #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) #s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 10500000000 binary64)) #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x)) #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) x))
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64))
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(if (<=.f64 y #s(literal 10500000000 binary64)) #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)))
(if (<=.f64 y #s(literal 10500000000 binary64)) #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y #s(literal -1/6 binary64)) x)) #s(approx (* (/ x y) (sin y)) #s(literal 0 binary64)))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) #s(approx (* x (/ (sin y) y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (* (/ x y) (sin y)) #s(literal 0 binary64)) #s(approx (* (/ x y) (sin y)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal 10500000000 binary64)) #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x)) #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)))
(if (<=.f64 y #s(literal 10500000000 binary64)) #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y) x)) #s(approx (* (/ x y) (sin y)) #s(literal 0 binary64)))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64)) #s(approx (/ (* (sin (neg (+ y (PI)))) x) y) x))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 5928554968950589/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) #s(approx (* (/ x y) (sin y)) #s(literal 0 binary64)) #s(approx (* (/ x y) (sin y)) x))
#s(approx (/ (* (sin (neg (+ y (PI)))) x) y) #s(literal 0 binary64))
#s(approx (* (/ x y) (sin y)) #s(literal 0 binary64))

derivations906.0ms (14.3%)

Memory
15.0MiB live, 814.1MiB allocated; 135ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024103
040101
110393
242793
3332993
0903693
094429
1305429
2947407
34050397
08076357
043150
1142150
2478140
32043138
44988138
08032124
0156502
1528493
22041463
36013463
08068427
0512
0812
11412
23712
314512
484112
0840412
031156
053125
1170119
21204109
09799109
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 136 to 41 computations (69.9% saved)

preprocess70.0ms (1.1%)

Memory
-17.4MiB live, 131.5MiB allocated; 26ms collecting garbage
Remove

(negabs x)

(abs y)

Compiler

Compiled 356 to 152 computations (57.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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