Linear.Quaternion:$cexp from linear-1.19.1.3

Time bar (total: 8.1s)

start0.0ms (0%)

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

analyze45.0ms (0.6%)

Memory
-28.0MiB live, 27.0MiB allocated; 38ms 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)

sample2.9s (35.6%)

Memory
-164.0MiB live, 1 677.7MiB allocated; 2.9s collecting garbage
Samples
2.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 462.0ms
ival-sin: 284.0ms (61.5% of total)
ival-div: 106.0ms (22.9% of total)
ival-mult: 60.0ms (13% of total)
ival-true: 7.0ms (1.5% of total)
ival-assert: 3.0ms (0.6% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

explain70.0ms (0.9%)

Memory
-10.3MiB live, 178.9MiB allocated; 20ms 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
32.0ms512×0valid
Compiler

Compiled 38 to 19 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 11.0ms (56.9% of total)
ival-div: 4.0ms (20.7% of total)
ival-mult: 3.0ms (15.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess42.0ms (0.5%)

Memory
12.1MiB live, 67.3MiB 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
0.9MiB live, 0.9MiB 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)

simplify3.0ms (0%)

Memory
5.6MiB live, 5.6MiB 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

localize22.0ms (0.3%)

Memory
-0.5MiB live, 46.1MiB allocated; 2ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 y)
accuracy0.09765625
(/.f64 (sin.f64 y) y)
accuracy0.1171875
(*.f64 x (/.f64 (sin.f64 y) y))
Samples
17.0ms256×0valid
Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sin: 7.0ms (67.3% of total)
ival-div: 2.0ms (19.2% of total)
ival-mult: 2.0ms (19.2% 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
13.4MiB live, 13.4MiB 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))

simplify248.0ms (3.1%)

Memory
-19.1MiB live, 252.8MiB allocated; 57ms 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)

rewrite173.0ms (2.1%)

Memory
26.8MiB live, 280.8MiB allocated; 49ms 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)))

eval43.0ms (0.5%)

Memory
0.5MiB live, 46.2MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 976 to 631 computations (78.8% saved)

prune37.0ms (0.5%)

Memory
-20.2MiB live, 26.2MiB allocated; 4ms 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
62.0%
(/.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))
70.6%
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (sin.f64 y) y))
86.8%
(/.f64 (*.f64 (sin.f64 y) x) y)
88.8%
(*.f64 (/.f64 x y) (sin.f64 y))
61.3%
(*.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)))
49.5%
(*.f64 x (/.f64 (fma.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y) (*.f64 #s(literal 1 binary64) (sin.f64 y))) y))
51.7%
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) y))
48.5%
(*.f64 x (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) y))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
53.4%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
53.9%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
53.5%
#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))
53.4%
#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 390 to 277 computations (29% saved)

simplify230.0ms (2.8%)

Memory
-3.5MiB live, 229.0MiB allocated; 36ms 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)

localize227.0ms (2.8%)

Memory
21.9MiB live, 220.3MiB allocated; 29ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 y)
accuracy0.1015625
(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))))
accuracy0.1171875
(*.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)))
accuracy29.9524439297104
(/.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)
accuracy0.1171875
(*.f64 (sin.f64 y) x)
accuracy8.414469797699885
(/.f64 (*.f64 (sin.f64 y) x) y)
accuracy0.046875
(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 #s(literal 1/120 binary64) y)
accuracy1.40091838610859
(*.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)))
accuracy29.839877147648142
#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))))
accuracy0.1171875
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy29.71218986616218
#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy0.0
(/.f64 x y)
accuracy0.0
(sin.f64 y)
accuracy7.138688104614388
(*.f64 (/.f64 x y) (sin.f64 y))
Samples
208.0ms256×0valid
Compiler

Compiled 176 to 32 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-sin: 33.0ms (44.2% of total)
ival-mult: 17.0ms (22.8% of total)
ival-div: 7.0ms (9.4% of total)
const: 6.0ms (8% of total)
ival-cos: 5.0ms (6.7% of total)
ival-add: 4.0ms (5.4% of total)
ival-neg: 1.0ms (1.3% 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)

series33.0ms (0.4%)

Memory
-22.3MiB live, 32.1MiB allocated; 14ms collecting garbage
Counts
18 → 39
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)
(*.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 (* -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))
(cos y)
Calls

6 calls:

TimeVariablePointExpression
21.0ms
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) (* 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) (* x (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y))) (cos y))
2.0ms
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) (* x (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y))) (cos y))
2.0ms
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) (* 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) (* x (/ (+ (* (* -1 (sin y)) (neg y)) (* (neg y) (* 0 (cos y)))) (* y y))) (cos y))

simplify225.0ms (2.8%)

Memory
35.3MiB live, 267.9MiB allocated; 24ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093409
1303409
2935387
33973377
08227345
Stop Event
iter limit
node limit
Counts
39 → 37
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 (* -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))
(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 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(* 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 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (*.f64 x (fma.f64 (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
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (-.f64 (*.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))
(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 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (pow.f64 y #s(literal 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 y x))
(* (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))
0
#s(literal 0 binary64)
(* 1/120 y)
(*.f64 #s(literal 1/120 binary64) y)
(+ 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)
(cos y)
(cos.f64 y)

rewrite206.0ms (2.5%)

Memory
-32.9MiB live, 159.6MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031150
053119
1170113
21204103
09799103
Stop Event
iter limit
node limit
iter limit
Counts
18 → 771
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)
(*.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)
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))
(cos.f64 (+.f64 (+.f64 y (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (fma.f64 #s(literal -1 binary64) y (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x)
(*.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 (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 (*.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) #s(literal 1 binary64))
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(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)))

eval110.0ms (1.4%)

Memory
11.2MiB live, 95.7MiB allocated; 16ms collecting garbage
Compiler

Compiled 14 357 to 1 973 computations (86.3% saved)

prune119.0ms (1.5%)

Memory
-24.3MiB live, 94.3MiB allocated; 11ms collecting garbage
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New6467653
Fresh437
Picked145
Done011
Total65115666
Accuracy
100.0%
Counts
666 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.3%
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y)
73.5%
(/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 y) y) y) x) y)
86.8%
(/.f64 (*.f64 (sin.f64 y) x) y)
40.8%
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
88.8%
(*.f64 (/.f64 x y) (sin.f64 y))
86.6%
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
59.6%
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y)))
71.0%
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (sin.f64 y) y) y))
51.7%
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) y))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
53.4%
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
53.9%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
53.4%
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
53.5%
#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))
53.4%
#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 306 to 224 computations (26.8% saved)

simplify112.0ms (1.4%)

Memory
31.0MiB live, 172.3MiB allocated; 13ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
029144
050134
188128
2238125
3909125
43032125
54649125
65910125
76718125
08107125
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.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)
#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 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y)))
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)
x
(sin.f64 y)
y
(/.f64 y (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y)
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y)
(*.f64 (*.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) y)
(sin.f64 y)
y
x
Outputs
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(sin.f64 y)
y
x
(/.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)
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
#s(approx (* (sin y) x) (*.f64 y x))
#s(approx (* (sin y) x) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)
x
(sin.f64 y)
y
(/.f64 y (*.f64 (neg.f64 y) y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y)
(*.f64 x (sin.f64 y))
(*.f64 (*.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) y)
(sin.f64 y)
y
x

localize105.0ms (1.3%)

Memory
0.8MiB live, 140.1MiB allocated; 12ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.1015625
(*.f64 (sin.f64 y) y)
accuracy3.625806535617717
(*.f64 (*.f64 (sin.f64 y) y) x)
accuracy8.414469797699885
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y)
accuracy14.110586501852605
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y)
accuracy0.0
(neg.f64 x)
accuracy0.1171875
(*.f64 (neg.f64 x) (sin.f64 y))
accuracy8.547282297699887
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y)))
accuracy29.725035123402392
(/.f64 y (*.f64 (neg.f64 y) y))
accuracy0.0
(*.f64 y x)
accuracy8.414469797699885
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
accuracy29.757781923755683
#s(approx (* (sin y) x) (*.f64 y x))
accuracy0.0
(*.f64 y y)
accuracy0.07421875
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x)
accuracy7.133154343073757
(*.f64 (*.f64 y y) x)
accuracy29.80100091468487
#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)
accuracy0.1171875
(*.f64 (sin.f64 y) x)
accuracy8.547282297699887
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
Samples
68.0ms256×0valid
Compiler

Compiled 130 to 28 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-sin: 18.0ms (34.2% of total)
ival-mult: 17.0ms (32.3% of total)
ival-div: 10.0ms (19% of total)
const: 4.0ms (7.6% of total)
ival-neg: 2.0ms (3.8% of total)
ival-add: 1.0ms (1.9% 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)

series84.0ms (1%)

Memory
-18.6MiB live, 73.5MiB allocated; 24ms collecting garbage
Counts
19 → 37
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (sin.f64 y) x)
(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 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 y (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y)
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y)
(*.f64 (*.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) y)
Outputs
(/ (* x (sin y)) y)
(* x (sin y))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (pow y 2))
(* x y)
(* -1 (* x (sin y)))
(* -1 x)
(* x (* y (sin y)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
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 (+ 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)))))))
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)
(/ -1 y)
(* -1 (* x y))
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2)))))
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x)))))
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2)))))))))
(* (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)
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* y (sin y))
Calls

6 calls:

TimeVariablePointExpression
38.0ms
y
@-inf
((* (* (sin y) x) (/ 1 y)) (* (sin y) x) (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) (* (* (neg x) (sin y)) (/ y (* (neg y) y))) (/ y (* (neg y) y)) (* (neg x) (sin y)) (neg x) (/ (* (* (sin y) y) x) y) (/ (/ (* (* (sin y) y) x) y) y) (* (* (sin y) y) x) (* (sin y) y))
30.0ms
x
@inf
((* (* (sin y) x) (/ 1 y)) (* (sin y) x) (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) (* (* (neg x) (sin y)) (/ y (* (neg y) y))) (/ y (* (neg y) y)) (* (neg x) (sin y)) (neg x) (/ (* (* (sin y) y) x) y) (/ (/ (* (* (sin y) y) x) y) y) (* (* (sin y) y) x) (* (sin y) y))
5.0ms
x
@-inf
((* (* (sin y) x) (/ 1 y)) (* (sin y) x) (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) (* (* (neg x) (sin y)) (/ y (* (neg y) y))) (/ y (* (neg y) y)) (* (neg x) (sin y)) (neg x) (/ (* (* (sin y) y) x) y) (/ (/ (* (* (sin y) y) x) y) y) (* (* (sin y) y) x) (* (sin y) y))
4.0ms
y
@inf
((* (* (sin y) x) (/ 1 y)) (* (sin y) x) (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) (* (* (neg x) (sin y)) (/ y (* (neg y) y))) (/ y (* (neg y) y)) (* (neg x) (sin y)) (neg x) (/ (* (* (sin y) y) x) y) (/ (/ (* (* (sin y) y) x) y) y) (* (* (sin y) y) x) (* (sin y) y))
3.0ms
y
@0
((* (* (sin y) x) (/ 1 y)) (* (sin y) x) (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) (* (* (neg x) (sin y)) (/ y (* (neg y) y))) (/ y (* (neg y) y)) (* (neg x) (sin y)) (neg x) (/ (* (* (sin y) y) x) y) (/ (/ (* (* (sin y) y) x) y) y) (* (* (sin y) y) x) (* (sin y) y))

simplify280.0ms (3.5%)

Memory
13.3MiB live, 236.4MiB allocated; 73ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087413
1328410
21167382
33435382
46991382
08355348
Stop Event
iter limit
node limit
Counts
37 → 35
Calls
Call 1
Inputs
(/ (* x (sin y)) y)
(* x (sin y))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (pow y 2))
(* x y)
(* -1 (* x (sin y)))
(* -1 x)
(* x (* y (sin y)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
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 (+ 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)))))))
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)
(/ -1 y)
(* -1 (* x y))
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2)))))
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x)))))
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2)))))))))
(* (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)
(* -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 (sin y))
(*.f64 (sin.f64 y) x)
(* 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 y)
(*.f64 x y)
(* -1 (* x (sin y)))
(*.f64 (neg.f64 x) (sin.f64 y))
(* -1 x)
(neg.f64 x)
(* x (* y (sin y)))
(*.f64 (*.f64 (sin.f64 y) 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)
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))
(* 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))
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)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2)))))
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x)))))
(*.f64 (neg.f64 y) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x))
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2)))))))))
(*.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)
(* (pow y 2) (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y) y)
(* (pow y 2) (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(*.f64 (*.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) (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(*.f64 (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)) (*.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)
(* -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)

rewrite193.0ms (2.4%)

Memory
13.1MiB live, 266.8MiB allocated; 94ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029122
050112
1117106
2482103
03601103
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
19 → 375
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (sin.f64 y) x)
(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 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 y (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y)
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y)
(*.f64 (*.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) y)
Outputs
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) x)
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x (sin.f64 y)))
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 x y) y) (*.f64 (sin.f64 y) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (/.f64 x y) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) y) (/.f64 x (*.f64 (neg.f64 y) y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (*.f64 x y) (*.f64 (neg.f64 y) y)))
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 #s(literal -1 binary64) y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) 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) (neg.f64 y)) (neg.f64 x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) y))
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 y y)))
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (*.f64 x y) (/.f64 (sin.f64 y) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (sin.f64 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)) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 x (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 y (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) y)))
(*.f64 y (/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) y))
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y)))
(*.f64 y (*.f64 (sin.f64 y) (/.f64 (/.f64 x y) y)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (*.f64 x y)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x y)) y)
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 y)) y)
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) y) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y))
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sin.f64 y)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 x) (sin.f64 y))))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) x)
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (sin.f64 y))
(*.f64 (*.f64 y (pow.f64 y #s(literal -1 binary64))) (*.f64 x (sin.f64 y)))
(*.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) y)) (/.f64 x y))
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(*.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 x y))
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (neg.f64 (sin.f64 y)))
(*.f64 (*.f64 x y) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) y)
(*.f64 (/.f64 x y) (*.f64 (sin.f64 y) y))
(*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
(*.f64 x (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (sin.f64 y) x)
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) y))
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y)
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sin.f64 y)) (neg.f64 y))
(neg.f64 (*.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 y (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) y) y)
(sin.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) y)
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(/.f64 (neg.f64 y) (*.f64 (neg.f64 y) y))
(/.f64 y (*.f64 y 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)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)) (*.f64 (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) x)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) x) (-.f64 (*.f64 (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) x) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x) x))
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (*.f64 (-.f64 x (*.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 1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) (*.f64 (-.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x))) x))))
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(*.f64 x #s(literal -1 binary64))
(*.f64 y (/.f64 (neg.f64 x) y))
(/.f64 (*.f64 (neg.f64 y) x) y)
(/.f64 (*.f64 x y) (neg.f64 y))
(neg.f64 x)
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) x)
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (sin.f64 y))
(*.f64 (*.f64 y (pow.f64 y #s(literal -1 binary64))) (*.f64 x (sin.f64 y)))
(*.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) y)) (/.f64 x y))
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))
(*.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 x y))
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (neg.f64 (sin.f64 y)))
(*.f64 (*.f64 x y) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) y)
(*.f64 (/.f64 x y) (*.f64 (sin.f64 y) y))
(*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64))
(*.f64 x (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (sin.f64 y) x)
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) y))
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y)
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sin.f64 y)) (neg.f64 y))
(neg.f64 (*.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) x)
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x (sin.f64 y)))
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 x y) y) (*.f64 (sin.f64 y) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (/.f64 x y) (neg.f64 y)))
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) y) (/.f64 x (*.f64 (neg.f64 y) y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (*.f64 x y) (*.f64 (neg.f64 y) y)))
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 #s(literal -1 binary64) y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) 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) (neg.f64 y)) (neg.f64 x))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) y))
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(*.f64 (*.f64 (sin.f64 y) y) (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 y y)))
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (*.f64 x y) (/.f64 (sin.f64 y) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (sin.f64 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)) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 x (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 y (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) y)))
(*.f64 y (/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) y))
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y)))
(*.f64 y (*.f64 (sin.f64 y) (/.f64 (/.f64 x y) y)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (*.f64 x y)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (*.f64 x y)) y)
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 y)) y)
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) y) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) (*.f64 y y))
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) (sin.f64 y)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 x) (sin.f64 y))))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(*.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x (sin.f64 y)))
(*.f64 (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y))) x)
(*.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (sin.f64 y))
(*.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) y)) x)
(*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (*.f64 x y))
(*.f64 (*.f64 (neg.f64 y) x) (neg.f64 (sin.f64 y)))
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 x))
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 y) x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 y) y) x))
(*.f64 (*.f64 (*.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(*.f64 (*.f64 (sin.f64 y) y) x)
(*.f64 (neg.f64 y) (*.f64 (neg.f64 x) (sin.f64 y)))
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (*.f64 x y) (sin.f64 y))
(*.f64 (*.f64 x (sin.f64 y)) (*.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (sin.f64 y)) y)
(*.f64 x (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)))
(*.f64 x (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) y)))
(*.f64 x (*.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (*.f64 (neg.f64 x) (neg.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 (*.f64 (neg.f64 y) x)))
(*.f64 (sin.f64 y) (*.f64 x y))
(*.f64 y (*.f64 x (sin.f64 y)))
(neg.f64 (*.f64 (*.f64 (neg.f64 y) x) (sin.f64 y)))
(*.f64 (sin.f64 y) y)
(*.f64 y (sin.f64 y))

eval45.0ms (0.6%)

Memory
-17.4MiB live, 126.5MiB allocated; 13ms collecting garbage
Compiler

Compiled 7 186 to 956 computations (86.7% saved)

prune17.0ms (0.2%)

Memory
1.6MiB live, 47.7MiB allocated; 4ms collecting garbage
Pruning

21 alts after pruning (13 fresh and 8 done)

PrunedKeptTotal
New30210312
Fresh235
Picked235
Done055
Total30621327
Accuracy
100.0%
Counts
327 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.3%
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 y) y) x) y) y)
73.5%
(/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 y) y) y) x) y)
86.8%
(/.f64 (*.f64 (sin.f64 y) x) y)
40.8%
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
88.8%
(*.f64 (/.f64 x y) (sin.f64 y))
88.7%
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y)))
86.6%
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
40.3%
(*.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) y))
26.3%
(*.f64 #s(approx (* (neg x) (sin y)) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (/.f64 y (*.f64 (neg.f64 y) y)))
36.4%
(*.f64 #s(approx (* (neg x) (sin y)) (*.f64 (neg.f64 x) y)) (/.f64 y (*.f64 (neg.f64 y) y)))
52.3%
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y)))
51.7%
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) y))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
53.9%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
53.4%
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
53.4%
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x))
53.4%
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x))
28.4%
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) x)) x) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x))))
2.8%
#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))))
53.5%
#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))
53.4%
#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 556 to 369 computations (33.6% saved)

simplify147.0ms (1.8%)

Memory
21.6MiB live, 206.4MiB allocated; 25ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 x (sin.f64 y))
cost-diff0
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y))
cost-diff4
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y)))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
(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)
cost-diff0
#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))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) y)
cost-diff0
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)
cost-diff0
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) 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
(neg.f64 (sin.f64 y))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff1
(*.f64 (/.f64 #s(literal -1 binary64) y) x)
cost-diff2
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037228
060225
1122222
2383222
31626218
44873218
08538218
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) x)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
x
(neg.f64 (sin.f64 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 x y) y) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 x y) y)
(*.f64 x y)
x
y
#s(literal -1/6 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))
(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)
(*.f64 (*.f64 y y) x)
(*.f64 y 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))
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y)))
y
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y))
(*.f64 x (sin.f64 y))
x
(sin.f64 y)
(*.f64 y y)
Outputs
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 #s(literal -1 binary64) y) x)
(/.f64 (neg.f64 x) y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
x
(neg.f64 (sin.f64 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 x y) y) #s(literal -1/6 binary64) 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 x y) y) #s(literal -1/6 binary64) x)
(*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) x)
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 y y) x)
(*.f64 x y)
x
y
#s(literal -1/6 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 (* (/ x y) (sin y)) (fma.f64 (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)) (*.f64 (*.f64 y y) x) 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)
(fma.f64 (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)) (*.f64 (*.f64 y y) x) x)
(*.f64 (*.f64 y y) x)
(*.f64 y 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))
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y)))
(*.f64 (/.f64 (sin.f64 y) y) x)
y
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
x
(sin.f64 y)
(*.f64 y y)

localize152.0ms (1.9%)

Memory
-27.0MiB live, 365.7MiB allocated; 36ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 y)
accuracy0.1171875
(*.f64 x (sin.f64 y))
accuracy13.745930495783632
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y)))
accuracy16.27494225253835
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y))
accuracy0.08984375
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y)
accuracy0.2748642295147259
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy7.133154343073757
(*.f64 (*.f64 y y) x)
accuracy29.766646102525414
#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))
accuracy0.0
(*.f64 x y)
accuracy0.07421875
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)
accuracy0.16015625
(*.f64 (*.f64 x y) y)
accuracy29.80100091468487
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
accuracy0.15625
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
accuracy7.133154343073757
(*.f64 (*.f64 y y) x)
accuracy29.80100091468487
#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))))
accuracy32.9022468555979
#s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
accuracy0.0
(sin.f64 y)
accuracy0.0
(neg.f64 (sin.f64 y))
accuracy0.1875
(*.f64 (/.f64 #s(literal -1 binary64) y) x)
accuracy7.138688104614388
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y)))
Samples
112.0ms256×0valid
Compiler

Compiled 184 to 35 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-mult: 41.0ms (44% of total)
ival-sin: 19.0ms (20.4% of total)
const: 12.0ms (12.9% of total)
ival-add: 11.0ms (11.8% of total)
ival-div: 8.0ms (8.6% of total)
ival-neg: 1.0ms (1.1% 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)

series23.0ms (0.3%)

Memory
-4.1MiB live, 47.6MiB allocated; 4ms collecting garbage
Counts
21 → 48
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) x)
(/.f64 #s(literal -1 binary64) y)
(neg.f64 (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)
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 x y) y)
(*.f64 x 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))
(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)
(*.f64 y y)
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y)))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y))
(*.f64 x (sin.f64 y))
(sin.f64 y)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y)
Outputs
(/ (* x (sin y)) y)
(* -1 (/ x y))
(* x (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* x (pow y 2))
(* x y)
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ (* x (sin y)) (pow y 2))
(* x (sin y))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
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 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(pow y 2)
(/ 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)))))) 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)))))))
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))))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(* 1/120 y)
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* -1 (sin y))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(sin y)
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 3))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@inf
((* (* (/ -1 y) x) (neg (sin y))) (* (/ -1 y) x) (/ -1 y) (neg (sin y)) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* (* x y) y) -1/6) x) (* (* x y) y) (* x y) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (* y y) (* y (/ (* x (sin y)) (* y y))) (/ (* x (sin y)) (* y y)) (* x (sin y)) (sin y) (+ (* -1/5040 (* y y)) 1/120) (* (+ (* -1/5040 (* y y)) 1/120) y))
4.0ms
x
@-inf
((* (* (/ -1 y) x) (neg (sin y))) (* (/ -1 y) x) (/ -1 y) (neg (sin y)) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* (* x y) y) -1/6) x) (* (* x y) y) (* x y) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (* y y) (* y (/ (* x (sin y)) (* y y))) (/ (* x (sin y)) (* y y)) (* x (sin y)) (sin y) (+ (* -1/5040 (* y y)) 1/120) (* (+ (* -1/5040 (* y y)) 1/120) y))
4.0ms
x
@0
((* (* (/ -1 y) x) (neg (sin y))) (* (/ -1 y) x) (/ -1 y) (neg (sin y)) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* (* x y) y) -1/6) x) (* (* x y) y) (* x y) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (* y y) (* y (/ (* x (sin y)) (* y y))) (/ (* x (sin y)) (* y y)) (* x (sin y)) (sin y) (+ (* -1/5040 (* y y)) 1/120) (* (+ (* -1/5040 (* y y)) 1/120) y))
3.0ms
x
@inf
((* (* (/ -1 y) x) (neg (sin y))) (* (/ -1 y) x) (/ -1 y) (neg (sin y)) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* (* x y) y) -1/6) x) (* (* x y) y) (* x y) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (* y y) (* y (/ (* x (sin y)) (* y y))) (/ (* x (sin y)) (* y y)) (* x (sin y)) (sin y) (+ (* -1/5040 (* y y)) 1/120) (* (+ (* -1/5040 (* y y)) 1/120) y))
3.0ms
y
@-inf
((* (* (/ -1 y) x) (neg (sin y))) (* (/ -1 y) x) (/ -1 y) (neg (sin y)) (* (/ x y) (sin y)) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* (/ x y) (sin y)) (+ (* (* (* x y) y) -1/6) x) (* (* x y) y) (* x y) (* x (/ (sin y) y)) (+ (* (* (* y y) x) (+ (* (* (+ (* -1/5040 (* y y)) 1/120) y) y) -1/6)) x) (* y y) (* y (/ (* x (sin y)) (* y y))) (/ (* x (sin y)) (* y y)) (* x (sin y)) (sin y) (+ (* -1/5040 (* y y)) 1/120) (* (+ (* -1/5040 (* y y)) 1/120) y))

simplify143.0ms (1.8%)

Memory
37.3MiB live, 226.0MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116520
1361514
21143496
35112486
08085454
Stop Event
iter limit
node limit
Counts
48 → 46
Calls
Call 1
Inputs
(/ (* x (sin y)) y)
(* -1 (/ x y))
(* x (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* x (pow y 2))
(* x y)
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ (* x (sin y)) (pow y 2))
(* x (sin y))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
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 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(pow y 2)
(/ 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)))))) 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)))))))
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))))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(* 1/120 y)
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(* -1 (sin y))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(sin y)
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 3))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
Outputs
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 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)
(* x y)
(*.f64 x y)
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(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)
(/ (* x (sin y)) (pow y 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) y)
(* x (sin y))
(*.f64 (sin.f64 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 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (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)))) #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)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 1/6 (pow y 2)) 1))
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y)
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y)
(pow y 2)
(*.f64 y y)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1/6 (* x (pow y 2)))) y)
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) y)
(/.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)
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) y)
(/.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) 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))
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)
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(* 1/120 y)
(*.f64 #s(literal 1/120 binary64) y)
(* y (+ 1/120 (* -1/5040 (pow y 2))))
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y)
(* -1 (sin y))
(neg.f64 (sin.f64 y))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x (/.f64 (/.f64 x y) y)) y) y)
(* -1/5040 (* x (pow y 6)))
(*.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) x) #s(literal -1/5040 binary64))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(*.f64 (*.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(*.f64 (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/5040 binary64))) (pow.f64 y #s(literal 6 binary64)))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(*.f64 (fma.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) (/.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/5040 binary64)) (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(sin y)
(sin.f64 y)
(* -1/5040 (pow y 2))
(*.f64 #s(literal -1/5040 binary64) (*.f64 y y))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) y) y)
(* -1/5040 (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/5040 binary64))
(* (pow y 3) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)))
(* -1 (* (pow y 3) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal -1/5040 binary64)) (pow.f64 y #s(literal 3 binary64)))

rewrite222.0ms (2.8%)

Memory
-8.2MiB live, 302.4MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037188
060186
1196182
21111182
08200182
Stop Event
iter limit
node limit
iter limit
Counts
21 → 390
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) x)
(/.f64 #s(literal -1 binary64) y)
(neg.f64 (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)
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x))
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64) x)
(*.f64 (*.f64 x y) y)
(*.f64 x 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))
(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)
(*.f64 y y)
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y)))
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y))
(*.f64 x (sin.f64 y))
(sin.f64 y)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y)
Outputs
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 (sin.f64 y) x))
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) x)
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (sin.f64 y))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) x)))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) x))) y)
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (sin.f64 y)) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (sin.f64 y)) y)
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(neg.f64 (/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) y))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (pow.f64 y #s(literal -1 binary64))))
(neg.f64 (*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 x) (sin.f64 y))))
(neg.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)))
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (/.f64 (neg.f64 x) y)))
(fma.f64 (/.f64 (neg.f64 x) y) (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 x) y) (*.f64 (cos.f64 y) #s(literal 0 binary64))))
(+.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (/.f64 (neg.f64 x) y)))
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 (sin.f64 y) #s(literal -1 binary64))) (*.f64 (/.f64 (neg.f64 x) y) (*.f64 (cos.f64 y) #s(literal 0 binary64))))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) x)
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (neg.f64 y))
(/.f64 (neg.f64 x) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 x) y)
(/.f64 x (neg.f64 y))
(neg.f64 (*.f64 x (pow.f64 y #s(literal -1 binary64))))
(neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x))
(neg.f64 (/.f64 x y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 y) #s(literal -1/2 binary64)))
(pow.f64 (neg.f64 y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) y)
(neg.f64 (pow.f64 y #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 0 binary64))) (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (fma.f64 (cos.f64 y) #s(literal 0 binary64) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (sin.f64 y) #s(literal -1 binary64))) (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 0 binary64)))) (-.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (cos.f64 y) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 0 binary64)) (fma.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (sin.f64 y) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 (cos.f64 y) #s(literal 0 binary64))) (*.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (cos.f64 y) #s(literal 0 binary64))))))
(neg.f64 (sin.f64 y))
(fma.f64 (cos.f64 y) #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(fma.f64 #s(literal 0 binary64) (cos.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))
(fma.f64 (sin.f64 y) #s(literal -1 binary64) (*.f64 (cos.f64 y) #s(literal 0 binary64)))
(sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 y))
(sin.f64 (+.f64 (PI.f64) y))
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 (sin.f64 y) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))
(+.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 (cos.f64 y) #s(literal 0 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 #s(literal -1/6 binary64) (*.f64 x y)) y)
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x)
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 y y))
(*.f64 (*.f64 #s(literal -1/6 binary64) y) (*.f64 x y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/6 binary64) x)))
(*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y))
(*.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 x (*.f64 y (*.f64 #s(literal -1/6 binary64) y)))
(*.f64 x (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))
(*.f64 y (*.f64 x (*.f64 #s(literal -1/6 binary64) y)))
(*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64)))
(*.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) x)))
(neg.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)))
(*.f64 (*.f64 (neg.f64 x) y) (neg.f64 y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 x) y))
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 y y) x)
(*.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)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))))))) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))))))))
(/.f64 (neg.f64 (fma.f64 x x (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))))) (neg.f64 (-.f64 x (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64)) x))))
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(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64))) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)))
(/.f64 (*.f64 y (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) y (*.f64 (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) y))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) y (*.f64 #s(literal 1/120 binary64) y))
(fma.f64 #s(literal 1/120 binary64) y (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) y))
(fma.f64 y (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) (*.f64 y (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))))
(fma.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) (*.f64 y #s(literal 1/120 binary64)))
(fma.f64 y #s(literal 1/120 binary64) (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))
(-.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) y) (*.f64 #s(literal -1/120 binary64) y))
(-.f64 (*.f64 #s(literal 1/120 binary64) y) (*.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) y))
(-.f64 (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 (neg.f64 y) #s(literal 1/120 binary64)))
(-.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) y) (*.f64 (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64))))) y))
(+.f64 (*.f64 y (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))) (*.f64 y (/.f64 #s(literal 1/1728000 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))))
(+.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) y) (*.f64 #s(literal 1/120 binary64) y))
(+.f64 (*.f64 #s(literal 1/120 binary64) y) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 y y)) y))
(+.f64 (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))) (*.f64 y #s(literal 1/120 binary64)))
(+.f64 (*.f64 y #s(literal 1/120 binary64)) (*.f64 y (*.f64 #s(literal -1/5040 binary64) (*.f64 y y))))

eval144.0ms (1.8%)

Memory
-10.5MiB live, 191.5MiB allocated; 38ms collecting garbage
Compiler

Compiled 15 869 to 1 872 computations (88.2% saved)

prune33.0ms (0.4%)

Memory
22.5MiB live, 78.1MiB allocated; 8ms collecting garbage
Pruning

26 alts after pruning (17 fresh and 9 done)

PrunedKeptTotal
New49810508
Fresh178
Picked325
Done178
Total50326529
Accuracy
100.0%
Counts
529 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.5%
(/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 y) y) y) x) y)
86.8%
(/.f64 (*.f64 (sin.f64 y) x) y)
40.8%
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
88.8%
(*.f64 (/.f64 x y) (sin.f64 y))
88.7%
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y)))
42.5%
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)))
53.4%
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (neg (sin y)) (neg.f64 y)))
86.6%
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
40.3%
(*.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) y))
26.3%
(*.f64 #s(approx (* (neg x) (sin y)) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (/.f64 y (*.f64 (neg.f64 y) y)))
36.4%
(*.f64 #s(approx (* (neg x) (sin y)) (*.f64 (neg.f64 x) y)) (/.f64 y (*.f64 (neg.f64 y) y)))
47.4%
(*.f64 y (*.f64 (sin.f64 y) (/.f64 x (*.f64 y y))))
42.4%
(*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)))
53.5%
(*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))
51.7%
(*.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) y))
99.8%
(*.f64 x (/.f64 (sin.f64 y) y))
53.9%
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
53.4%
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x))
53.4%
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) y) x x))
28.4%
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) x)) x) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x))))
2.8%
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 binary64))))
2.8%
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y))))
2.8%
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 x (*.f64 y (*.f64 #s(literal -1/6 binary64) y)))))
53.5%
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) x)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x)))
53.5%
#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))
53.4%
#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 1 095 to 477 computations (56.4% saved)

regimes99.0ms (1.2%)

Memory
-28.8MiB live, 102.7MiB allocated; 20ms collecting garbage
Counts
40 → 1
Calls
Call 1
Inputs
(*.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 x (*.f64 y (*.f64 #s(literal -1/6 binary64) y)))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 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 (*.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 x y) y) #s(literal -1/6 binary64) x))
#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 (*.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 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (neg (sin y)) (neg.f64 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 #s(approx (* (neg x) (sin y)) (*.f64 (neg.f64 x) y)) (/.f64 y (*.f64 (neg.f64 y) y)))
(*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)))
(*.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) 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))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)))
(*.f64 #s(approx (* (neg x) (sin y)) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (/.f64 y (*.f64 (neg.f64 y) y)))
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) x)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x)))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) x)) x) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.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 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) y))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) (neg.f64 (sin.f64 y)))
(*.f64 y (*.f64 (sin.f64 y) (/.f64 x (*.f64 y y))))
(*.f64 y (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y y)))
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 (*.f64 (/.f64 (*.f64 (sin.f64 y) y) y) x) 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:

39.0ms
y
35.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
11.0ms
x
10.0ms
(/.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)

regimes35.0ms (0.4%)

Memory
27.4MiB live, 79.3MiB allocated; 15ms collecting garbage
Counts
23 → 2
Calls
Call 1
Inputs
(*.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 x (*.f64 y (*.f64 #s(literal -1/6 binary64) y)))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 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 (*.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 x y) y) #s(literal -1/6 binary64) x))
#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 (*.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 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (neg (sin y)) (neg.f64 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 #s(approx (* (neg x) (sin y)) (*.f64 (neg.f64 x) y)) (/.f64 y (*.f64 (neg.f64 y) y)))
(*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)))
(*.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) 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))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)))
(*.f64 #s(approx (* (neg x) (sin y)) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (/.f64 y (*.f64 (neg.f64 y) y)))
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) x)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x)))
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 y y) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) x)) x) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 y y) x)) x))))
Outputs
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) x)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x)))
(*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))
Calls

4 calls:

14.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms
y
6.0ms
x
6.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
65.1%2(/.f64 (sin.f64 y) y)
64.9%2(*.f64 x (/.f64 (sin.f64 y) y))
64.9%2x
65.2%2y
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes10.0ms (0.1%)

Memory
-18.9MiB live, 23.2MiB allocated; 5ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
(*.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 x (*.f64 y (*.f64 #s(literal -1/6 binary64) y)))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 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 (*.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 x y) y) #s(literal -1/6 binary64) x))
#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 (*.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 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (neg (sin y)) (neg.f64 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 #s(approx (* (neg x) (sin y)) (*.f64 (neg.f64 x) y)) (/.f64 y (*.f64 (neg.f64 y) y)))
(*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)))
(*.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) 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))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)))
(*.f64 #s(approx (* (neg x) (sin y)) (*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y)) (/.f64 y (*.f64 (neg.f64 y) y)))
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))
(*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))
Calls

1 calls:

9.0ms
y
Results
AccuracySegmentsBranch
65.2%2y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes23.0ms (0.3%)

Memory
4.8MiB live, 42.2MiB allocated; 13ms collecting garbage
Counts
18 → 2
Calls
Call 1
Inputs
(*.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 x (*.f64 y (*.f64 #s(literal -1/6 binary64) y)))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 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 (*.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 x y) y) #s(literal -1/6 binary64) x))
#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 (*.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 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (neg (sin y)) (neg.f64 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 #s(approx (* (neg x) (sin y)) (*.f64 (neg.f64 x) y)) (/.f64 y (*.f64 (neg.f64 y) y)))
(*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)))
(*.f64 #s(approx (* (sin y) x) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) y)) (/.f64 #s(literal 1 binary64) y))
Outputs
#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 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))
Calls

2 calls:

5.0ms
y
5.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
65.0%2(/.f64 (sin.f64 y) y)
65.0%2y
Compiler

Compiled 5 to 6 computations (-20% saved)

regimes9.0ms (0.1%)

Memory
25.6MiB live, 25.6MiB allocated; 0ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
(*.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 x (*.f64 y (*.f64 #s(literal -1/6 binary64) y)))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 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 (*.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 x y) y) #s(literal -1/6 binary64) x))
#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 (*.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 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) x) #s(approx (neg (sin y)) (neg.f64 y)))
Outputs
#s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x))
(*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y)))
Calls

2 calls:

4.0ms
(/.f64 (sin.f64 y) y)
4.0ms
y
Results
AccuracySegmentsBranch
64.9%2(/.f64 (sin.f64 y) y)
64.9%2y
Compiler

Compiled 5 to 6 computations (-20% saved)

regimes44.0ms (0.5%)

Memory
9.5MiB live, 45.2MiB allocated; 19ms collecting garbage
Accuracy

Total -33.0b remaining (-112%)

Threshold costs -33b (-112%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.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 x (*.f64 y (*.f64 #s(literal -1/6 binary64) y)))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 x y) (*.f64 #s(literal -1/6 binary64) y))))
#s(approx (* (/ x y) (sin y)) #s(approx (+ (* (* (* y y) x) -1/6) x) (*.f64 (*.f64 (*.f64 x y) y) #s(literal -1/6 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 (*.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 x y) y) #s(literal -1/6 binary64) x))
#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 (*.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))))
Outputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Calls

4 calls:

33.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms
y
3.0ms
x
3.0ms
(/.f64 (sin.f64 y) y)
Results
AccuracySegmentsBranch
53.9%1x
53.9%1(*.f64 x (/.f64 (sin.f64 y) y))
53.9%1(/.f64 (sin.f64 y) y)
53.9%1y
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch59.0ms (0.7%)

Memory
-21.2MiB live, 44.4MiB allocated; 27ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
58.0ms
34775852.997229494
108622371.37954053
Samples
6.0ms80×0valid
Compiler

Compiled 234 to 150 computations (35.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sin: 3.0ms (70.7% of total)
ival-div: 1.0ms (23.6% of total)
ival-mult: 1.0ms (23.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
34775852.997229494
108622371.37954053
Compiler

Compiled 204 to 140 computations (31.4% saved)

bsearch35.0ms (0.4%)

Memory
-5.7MiB live, 82.1MiB allocated; 23ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
34.0ms
0.44122943005316695
123385.41852784628
Samples
28.0ms144×0valid
Compiler

Compiled 315 to 235 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sin: 14.0ms (57.8% of total)
ival-div: 9.0ms (37.2% of total)
ival-mult: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
34775852.997229494
108622371.37954053
Compiler

Compiled 154 to 115 computations (25.3% saved)

simplify71.0ms (0.9%)

Memory
10.5MiB live, 55.0MiB allocated; 10ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052177
167177
2101177
3166177
4246177
5336177
6404177
7507177
8823177
91684177
103689177
117497177
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(if (<=.f64 y #s(literal 58000000 binary64)) #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) x)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x))) (*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))))
(if (<=.f64 y #s(literal 58000000 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)) (*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))))
(if (<=.f64 y #s(literal 9/2 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 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))))
(if (<=.f64 y #s(literal 58000000 binary64)) #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) (*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(if (<=.f64 y #s(literal 58000000 binary64)) #s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) x)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x))) (*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))))
(if (<=.f64 y #s(literal 58000000 binary64)) #s(approx (* (/ x y) (sin y)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) x)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x y)) y x))) (*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))))
(if (<=.f64 y #s(literal 58000000 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)) (*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))))
(if (<=.f64 y #s(literal 58000000 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)) (*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))))
(if (<=.f64 y #s(literal 9/2 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 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))))
(if (<=.f64 y #s(literal 9/2 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)))) (*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))))
(if (<=.f64 y #s(literal 58000000 binary64)) #s(approx (* (/ x y) (sin y)) (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) y) x) y x)) (*.f64 y #s(approx (/ (* x (sin y)) (* y y)) (/.f64 x y))))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

derivations1.2s (14.8%)

Memory
-7.1MiB live, 1 022.8MiB allocated; 275ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0512
0812
11412
23712
314512
484112
0840412
037188
060186
1196182
21111182
08200182
043150
1142150
2478140
32043138
44988138
08032124
0116520
1361514
21143496
35112486
08085454
029122
050112
1117106
2482103
03601103
031150
053119
1170113
21204103
09799103
093409
1303409
2935387
33973377
08227345
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 177 to 51 computations (71.2% saved)

preprocess75.0ms (0.9%)

Memory
-16.2MiB live, 116.3MiB allocated; 19ms collecting garbage
Remove

(negabs x)

(abs y)

Compiler

Compiled 414 to 152 computations (63.3% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...