Metrics for Linear.Quaternion:$cexp from linear-1.19.1.3

start0.0ms (0%)

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

analyze14.0ms (0.7%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample1.0s (48.8%)

Memory

38.0MiB live, 1 293.6MiB allocated; 220ms collecting garbage

Samples

743.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 417.0ms

ival-sin: 282.0ms (67.6% of total)

ival-mult: 67.0ms (16.1% of total)

ival-div: 63.0ms (15.1% of total)

adjust: 3.0ms (0.7% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain91.0ms (4.4%)

Memory

-6.9MiB live, 147.4MiB allocated; 59ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(sin.f64 y)`
-	-	`y`
-	-	`(*.f64 x (/.f64 (sin.f64 y) y))`
-	-	`(/.f64 (sin.f64 y) y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

59.0ms

512×

valid

Compiler

Compiled 38 to 19 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-sin: 37.0ms (81.7% of total)

ival-div: 4.0ms (8.8% of total)

ival-mult: 3.0ms (6.6% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess73.0ms (3.5%)

Memory

4.1MiB live, 45.4MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	39	38
2	84	38
3	137	38
4	261	38
5	533	38
6	1239	38
7	3186	38
8	6560	38
0	5	6
0	8	6
1	11	6
2	13	6
3	15	6
4	16	6
0	16	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))

Compiler

Compiled 6 to 5 computations (16.7% saved)

series8.0ms (0.4%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

Counts

5 → 17

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y

Outputs
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y)))
#s(approx x #s(hole binary64 x))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2))))))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))
#s(approx (/ (sin y) y) #s(hole binary64 1))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
#s(approx (sin y) #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y)))
#s(approx (sin y) #s(hole binary64 (sin y)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((* x (/ (sin y) y)) x (/ (sin y) y) (sin y) y)
1.0ms	x	@	inf	((* x (/ (sin y) y)) x (/ (sin y) y) (sin y) y)
1.0ms	x	@	0	((* x (/ (sin y) y)) x (/ (sin y) y) (sin y) y)
1.0ms	y	@	inf	((* x (/ (sin y) y)) x (/ (sin y) y) (sin y) y)
1.0ms	x	@	-inf	((* x (/ (sin y) y)) x (/ (sin y) y) (sin y) y)

rewrite116.0ms (5.6%)

Memory

-3.6MiB live, 137.0MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	245
0	68	245
1	318	245
0	2690	231

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

22 → 33

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y)))
#s(approx x #s(hole binary64 x))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2))))))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))
#s(approx (/ (sin y) y) #s(hole binary64 1))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
#s(approx (sin y) #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y)))
#s(approx (sin y) #s(hole binary64 (sin y)))

Outputs
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
x
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) y))
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(sin.f64 y)
y
#s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 (sin.f64 y) y) x))
#s(approx x x)
#s(approx (* x (/ (sin y) y)) x)
#s(approx (* x (/ (sin y) y)) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x)) (.f64 y y) x))
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x)) y) y (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x))) (.f64 y y) x))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(approx (/ (sin y) y) (fma.f64 (.f64 (.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
#s(approx (sin y) y)
#s(approx (sin y) (.f64 (fma.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) y))
#s(approx (sin y) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sin y) (fma.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y) #s(literal 1/6 binary64)) y))
#s(approx y y)
#s(approx (/ (sin y) y) (/.f64 (sin.f64 y) y))
#s(approx (sin y) (sin.f64 y))

eval3.0ms (0.2%)

Memory: 7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 397 to 104 computations (73.8% saved)

prune11.0ms (0.6%)

Memory

-30.7MiB live, 15.0MiB allocated; 5ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Accuracy

99.9%

Counts

36 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.9%	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	89.1%	(*.f64 (sin.f64 y) (/.f64 x y))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
▶	48.3%	#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x)) y) y (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x))) (.f64 y y) x))

Compiler

Compiled 51 to 32 computations (37.3% saved)

series32.0ms (1.6%)

Memory

11.9MiB live, 57.6MiB allocated; 5ms collecting garbage

Counts

19 → 57

Calls

Call 1

Inputs
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x)) y) y (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x))) (.f64 y y) x))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x)) y) y (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x))) (.f64 y y) x)
(fma.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x)) y) y (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)))
(.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x)) y)
(.f64 #s(literal -1/5040 binary64) (.f64 (*.f64 y y) x))
#s(literal -1/5040 binary64)
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
(fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x))
#s(literal 1/120 binary64)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
(*.f64 (sin.f64 y) (/.f64 x y))
(sin.f64 y)
(/.f64 x y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)

Outputs
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y)))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) #s(hole binary64 (* x (+ 1 (* (pow y 2) (- (+ (* -1/5040 (pow y 4)) (* 1/120 (pow y 2))) 1/6))))))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) #s(hole binary64 (* x (- (+ (* -1/5040 (pow y 4)) (* 1/120 (pow y 2))) 1/6))))
#s(approx (* (* -1/5040 (* (* y y) x)) y) #s(hole binary64 (* -1/5040 (* x (pow y 3)))))
#s(approx (* -1/5040 (* (* y y) x)) #s(hole binary64 (* -1/5040 (* x (pow y 2)))))
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) #s(hole binary64 (* x (- (* 1/120 (pow y 2)) 1/6))))
#s(approx (* -1/6 x) #s(hole binary64 (* -1/6 x)))
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (/ (* x (sin y)) y)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (/ (* x (sin y)) y)))
#s(approx (* (sin y) x) #s(hole binary64 (* x (sin y))))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) #s(hole binary64 (* -1 (* x (- (* (pow y 2) (+ 1/6 (+ (* -1/120 (pow y 2)) (* 1/5040 (pow y 4))))) 1)))))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) #s(hole binary64 (* -1 (* x (+ 1/6 (+ (* -1/120 (pow y 2)) (* 1/5040 (pow y 4))))))))
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) #s(hole binary64 (* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2))))))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2))))))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) #s(hole binary64 (* -1/6 x)))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) #s(hole binary64 (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) #s(hole binary64 (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) #s(hole binary64 (* -1/6 x)))
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) #s(hole binary64 (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
#s(approx (* (sin y) (/ x y)) #s(hole binary64 x))
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2))))))
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))
#s(approx (sin y) #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
#s(approx (/ (* (sin y) x) y) #s(hole binary64 x))
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2))))))
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))
#s(approx (* (sin y) x) #s(hole binary64 (* x y)))
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2)))))))
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))))
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) #s(hole binary64 (* -1/5040 (* x (pow y 6)))))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) #s(hole binary64 (* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) #s(hole binary64 (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) #s(hole binary64 (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) #s(hole binary64 (* -1/5040 (* x (pow y 4)))))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) #s(hole binary64 (* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) #s(hole binary64 (* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))))
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) #s(hole binary64 (* 1/120 (* x (pow y 2)))))
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) #s(hole binary64 (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))))
#s(approx (sin y) #s(hole binary64 (sin y)))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y	@	0	((* x (/ (sin y) y)) (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* (* -1/5040 (* (* y y) x)) y) (* -1/5040 (* (* y y) x)) -1/5040 (* (* y y) x) (* y y) y x (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) 1/120 (* -1/6 x) -1/6 (* (sin y) (/ x y)) (sin y) (/ x y) (/ (* (sin y) x) y) (* (sin y) x))
6.0ms	x	@	0	((* x (/ (sin y) y)) (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* (* -1/5040 (* (* y y) x)) y) (* -1/5040 (* (* y y) x)) -1/5040 (* (* y y) x) (* y y) y x (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) 1/120 (* -1/6 x) -1/6 (* (sin y) (/ x y)) (sin y) (/ x y) (/ (* (sin y) x) y) (* (sin y) x))
5.0ms	x	@	-inf	((* x (/ (sin y) y)) (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* (* -1/5040 (* (* y y) x)) y) (* -1/5040 (* (* y y) x)) -1/5040 (* (* y y) x) (* y y) y x (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) 1/120 (* -1/6 x) -1/6 (* (sin y) (/ x y)) (sin y) (/ x y) (/ (* (sin y) x) y) (* (sin y) x))
5.0ms	x	@	inf	((* x (/ (sin y) y)) (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* (* -1/5040 (* (* y y) x)) y) (* -1/5040 (* (* y y) x)) -1/5040 (* (* y y) x) (* y y) y x (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) 1/120 (* -1/6 x) -1/6 (* (sin y) (/ x y)) (sin y) (/ x y) (/ (* (sin y) x) y) (* (sin y) x))
3.0ms	y	@	inf	((* x (/ (sin y) y)) (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* (* -1/5040 (* (* y y) x)) y) (* -1/5040 (* (* y y) x)) -1/5040 (* (* y y) x) (* y y) y x (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) 1/120 (* -1/6 x) -1/6 (* (sin y) (/ x y)) (sin y) (/ x y) (/ (* (sin y) x) y) (* (sin y) x))

rewrite323.0ms (15.7%)

Memory

-3.1MiB live, 187.7MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	1492
0	213	1427
1	851	1302
0	7390	1228

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

76 → 330

Calls

Call 1

Inputs
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x)) y) y (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x))) (.f64 y y) x))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x)) y) y (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x))) (.f64 y y) x)
(fma.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x)) y) y (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x)))
(.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x)) y)
(.f64 #s(literal -1/5040 binary64) (.f64 (*.f64 y y) x))
#s(literal -1/5040 binary64)
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
(fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x))
#s(literal 1/120 binary64)
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
(*.f64 (sin.f64 y) (/.f64 x y))
(sin.f64 y)
(/.f64 x y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y)))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) #s(hole binary64 (* x (+ 1 (* (pow y 2) (- (+ (* -1/5040 (pow y 4)) (* 1/120 (pow y 2))) 1/6))))))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) #s(hole binary64 (* x (- (+ (* -1/5040 (pow y 4)) (* 1/120 (pow y 2))) 1/6))))
#s(approx (* (* -1/5040 (* (* y y) x)) y) #s(hole binary64 (* -1/5040 (* x (pow y 3)))))
#s(approx (* -1/5040 (* (* y y) x)) #s(hole binary64 (* -1/5040 (* x (pow y 2)))))
#s(approx (* (* y y) x) #s(hole binary64 (* x (pow y 2))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) #s(hole binary64 (* x (- (* 1/120 (pow y 2)) 1/6))))
#s(approx (* -1/6 x) #s(hole binary64 (* -1/6 x)))
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (/ (* x (sin y)) y)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (/ (* x (sin y)) y)))
#s(approx (* (sin y) x) #s(hole binary64 (* x (sin y))))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) #s(hole binary64 (* -1 (* x (- (* (pow y 2) (+ 1/6 (+ (* -1/120 (pow y 2)) (* 1/5040 (pow y 4))))) 1)))))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) #s(hole binary64 (* -1 (* x (+ 1/6 (+ (* -1/120 (pow y 2)) (* 1/5040 (pow y 4))))))))
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) #s(hole binary64 (* -1 (* x (+ 1/6 (* -1/120 (pow y 2)))))))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2))))))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) #s(hole binary64 x))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2))))))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) #s(hole binary64 (* -1/6 x)))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) #s(hole binary64 (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) #s(hole binary64 (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) #s(hole binary64 (* -1/6 x)))
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) #s(hole binary64 (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
#s(approx (* (sin y) (/ x y)) #s(hole binary64 x))
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2))))))
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))
#s(approx (* (sin y) (/ x y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))
#s(approx (sin y) #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
#s(approx (/ (* (sin y) x) y) #s(hole binary64 x))
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2))))))
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))
#s(approx (* (sin y) x) #s(hole binary64 (* x y)))
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2)))))))
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))))
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) #s(hole binary64 (* -1/5040 (* x (pow y 6)))))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) #s(hole binary64 (* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) #s(hole binary64 (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) #s(hole binary64 (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) #s(hole binary64 (* -1/5040 (* x (pow y 4)))))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) #s(hole binary64 (* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) #s(hole binary64 (* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))))
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) #s(hole binary64 (* 1/120 (* x (pow y 2)))))
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) #s(hole binary64 (* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))))
#s(approx (sin y) #s(hole binary64 (sin y)))

Outputs
#s(approx (/ (* (sin y) x) y) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
(.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) y) y))) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) y) y)))
(/.f64 (.f64 (fma.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y y) y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (.f64 (.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) y) y) (-.f64 (.f64 (.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) y) y)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) y) y)))
(/.f64 (.f64 x (fma.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 y y) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) y) y) (-.f64 (.f64 (.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) y) y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) x) (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (.f64 y y)) (.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) x) (.f64 x (.f64 (.f64 (neg.f64 y) y) (.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) x))))))
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(neg.f64 (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (neg.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)) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(neg.f64 (/.f64 (.f64 (.f64 #s(literal -1 binary64) x) (sin.f64 y)) y))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
#s(approx (/ (* (sin y) x) y) (*.f64 (/.f64 (sin.f64 y) y) x))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) x))
#s(approx (* (* -1/5040 (* (* y y) x)) y) (.f64 (.f64 y (.f64 #s(literal -1/5040 binary64) x)) (.f64 y y)))
#s(approx (* -1/5040 (* (* y y) x)) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/5040 binary64)))
#s(approx (* (* y y) x) (.f64 (.f64 y y) x))
#s(approx x x)
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (-.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))
#s(approx (* -1/6 x) (*.f64 #s(literal -1/6 binary64) x))
#s(approx (/ (* (sin y) x) y) (*.f64 (/.f64 (sin.f64 y) y) x))
#s(approx (/ x y) (/.f64 x y))
#s(approx (/ (* (sin y) x) y) (*.f64 (/.f64 (sin.f64 y) y) x))
#s(approx (* (sin y) x) (*.f64 (sin.f64 y) x))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) (.f64 (.f64 (fma.f64 (-.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64)))) (.f64 y y) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (*.f64 y y) #s(literal 1/120 binary64)))) x) #s(literal -1 binary64)))
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
#s(approx (/ (* (sin y) x) y) x)
#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) x) #s(literal 1/120 binary64) x)))
#s(approx (/ (* (sin y) x) y) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) x)
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) x) #s(literal 1/120 binary64) x)))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (*.f64 #s(literal -1/6 binary64) x))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (.f64 (-.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) x))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (*.f64 #s(literal -1/6 binary64) x))
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (-.f64 (.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x))
#s(approx (/ (* (sin y) x) y) x)
#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) x) #s(literal 1/120 binary64) x)))
#s(approx (/ (* (sin y) x) y) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (sin y) y)
#s(approx (sin y) (.f64 (fma.f64 (.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) y))
#s(approx (sin y) (.f64 (fma.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) y))
#s(approx (sin y) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))
#s(approx (/ (* (sin y) x) y) x)
#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) x) #s(literal 1/120 binary64) x)))
#s(approx (/ (* (sin y) x) y) (.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x))
#s(approx (* (sin y) x) (*.f64 y x))
#s(approx (* (sin y) x) (.f64 (fma.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) y))
#s(approx (* (sin y) x) (fma.f64 (.f64 (.f64 y y) (.f64 (-.f64 (.f64 (.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) x)) y (.f64 y x)))
#s(approx (* (sin y) x) (fma.f64 (.f64 (.f64 (.f64 y y) x) (-.f64 (fma.f64 (pow.f64 (.f64 y y) #s(literal 2 binary64)) #s(literal -1/5040 binary64) (.f64 (.f64 y y) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) y (*.f64 y x)))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) (.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 (.f64 (.f64 y y) y) #s(literal 2 binary64))) x))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) (.f64 (pow.f64 (.f64 (.f64 y y) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) x))))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) (.f64 (pow.f64 (.f64 (.f64 y y) y) #s(literal 2 binary64)) (fma.f64 (/.f64 x (pow.f64 (.f64 y y) #s(literal 2 binary64))) #s(literal -1/6 binary64) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) x)))))
#s(approx (+ (* (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (* y y)) x) (.f64 (pow.f64 (.f64 (.f64 y y) y) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal -1/6 binary64) (.f64 y y)) (/.f64 (/.f64 x y) y) (-.f64 (fma.f64 (/.f64 #s(literal 1/120 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y)) (/.f64 (/.f64 x (.f64 (.f64 y y) y)) (.f64 (.f64 y y) y))) (*.f64 #s(literal 1/5040 binary64) x)))))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (.f64 (.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) x) #s(literal -1/5040 binary64)))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) x)) (pow.f64 (*.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (* (* (* -1/5040 (* (* y y) x)) y) y) (+ (* 1/120 (* (* y y) x)) (* -1/6 x))) (.f64 (fma.f64 (/.f64 x (pow.f64 (.f64 y y) #s(literal 2 binary64))) #s(literal -1/6 binary64) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) x))) (pow.f64 (.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (*.f64 y y) x) #s(literal 1/120 binary64)))
#s(approx (+ (* 1/120 (* (* y y) x)) (* -1/6 x)) (.f64 (.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) x)) y) y))
#s(approx (sin y) (sin.f64 y))

eval54.0ms (2.7%)

Memory: -7.9MiB live, 86.2MiB allocated; 12ms collecting garbage
Compiler: Compiled 15 524 to 1 534 computations (90.1% saved)

prune230.0ms (11.2%)

Memory

-2.0MiB live, 175.4MiB allocated; 103ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	388	0	388
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	388	4	392

Accuracy

99.9%

Counts

392 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.9%	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	89.1%	(*.f64 (sin.f64 y) (/.f64 x y))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	48.3%	#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x)) y) y (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x))) (.f64 y y) x))

Compiler

Compiled 102 to 56 computations (45.1% saved)

regimes23.0ms (1.1%)

Memory

-33.7MiB live, 14.0MiB allocated; 11ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 y y) x)) y) y (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) x) (.f64 #s(literal -1/6 binary64) x))) (.f64 y y) x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))

Calls

4 calls:

17.0ms	(/.f64 (sin.f64 y) y)
2.0ms	x
2.0ms	y
2.0ms	(*.f64 x (/.f64 (sin.f64 y) y))

Results

Accuracy	Segments	Branch
99.8%	1	`(/.f64 (sin.f64 y) y)`
99.8%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
99.8%	1	`x`
99.8%	1	`y`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes5.0ms (0.2%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x)) y) y (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 y y) x))

Outputs

#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x)) y) y (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 y y) x))

Calls

4 calls:

1.0ms	y
1.0ms	x
1.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
1.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
48.3%	1	`(/.f64 (sin.f64 y) y)`
48.3%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
48.3%	1	`x`
48.3%	1	`y`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify11.0ms (0.5%)

Memory

18.7MiB live, 18.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	39
1	23	39
2	25	39
3	27	39
4	28	39

Stop Event

1×

saturated

Calls

Call 1

Inputs

(*.f64 x (/.f64 (sin.f64 y) y))

#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x)) y) y (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 y y) x))

Outputs

(*.f64 x (/.f64 (sin.f64 y) y))

#s(approx (* x (/ (sin y) y)) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 y y) x)) y) y (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/6 binary64) x))) (*.f64 y y) x))

derivations12.0ms (0.6%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 39 to 20 computations (48.7% saved)

preprocess43.0ms (2.1%)

Memory

-2.5MiB live, 43.5MiB allocated; 3ms collecting garbage

Remove

(negabs x)

(abs y)

Compiler

Compiled 138 to 90 computations (34.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze14.0ms (0.7%)

sample1.0s (48.8%)

explain91.0ms (4.4%)

preprocess73.0ms (3.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series8.0ms (0.4%)

rewrite116.0ms (5.6%)

eval3.0ms (0.2%)

prune11.0ms (0.6%)

series32.0ms (1.6%)

rewrite323.0ms (15.7%)

eval54.0ms (2.7%)

prune230.0ms (11.2%)

regimes23.0ms (1.1%)

regimes5.0ms (0.2%)

simplify11.0ms (0.5%)

derivations12.0ms (0.6%)

preprocess43.0ms (2.1%)

end0.0ms (0%)

Profiling