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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze30.0ms (0.4%)

Memory

-2.9MiB live, 41.5MiB allocated

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)

sample1.2s (16.9%)

Memory

34.1MiB live, 1 465.6MiB allocated

Samples

707.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 492.0ms

ival-sin: 345.0ms (70.1% of total)

ival-div: 85.0ms (17.3% of total)

ival-mult: 52.0ms (10.6% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain68.0ms (0.9%)

Memory

-0.9MiB live, 114.5MiB allocated

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

39.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-sin: 15.0ms (60.9% of total)

ival-mult: 5.0ms (20.3% of total)

ival-div: 4.0ms (16.2% of total)

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

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

preprocess50.0ms (0.7%)

Memory

-26.5MiB live, 25.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	46	32
2	122	32
3	323	32
4	1107	32
5	1811	32
6	1904	32
7	1938	32
8	1966	32
9	1978	32
10	1978	32
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×	saturated

Calls

Call 1

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

Outputs
(*.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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

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)

simplify3.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 (sin.f64 y) y)
cost-diff	0	(*.f64 x (/.f64 (sin.f64 y) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	11	14
2	13	14
3	15	14
4	16	14
0	16	14

Stop Event

1×	iter limit
1×	saturated
1×	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 (/.f64 (sin.f64 y) y) x)
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y

localize23.0ms (0.3%)

Memory

2.6MiB live, 40.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 y)
accuracy	0.0859375	(*.f64 x (/.f64 (sin.f64 y) y))
accuracy	0.1328125	(/.f64 (sin.f64 y) y)

Samples

16.0ms

256×

valid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sin: 6.0ms (59.9% of total)

ival-div: 2.0ms (20% of total)

ival-mult: 2.0ms (20% of total)

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

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

series7.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())

Inputs

#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())

#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())

#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	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	x	@	-inf	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))
1.0ms	y	@	0	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))
1.0ms	x	@	inf	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))

simplify171.0ms (2.3%)

Memory

-23.9MiB live, 170.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	306
1	118	306
2	310	296
3	920	294
4	1455	294
5	2247	294
6	3373	294
7	3665	294
8	4402	294
9	6864	294
0	8542	276

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

rewrite64.0ms (0.9%)

Memory

26.6MiB live, 65.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	19	12
2	72	12
3	336	12
0	1798	12

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	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
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval26.0ms (0.3%)

Memory: -3.1MiB live, 42.8MiB allocated
Compiler: Compiled 2 320 to 449 computations (80.6% saved)

prune12.0ms (0.2%)

Memory

-9.2MiB live, 29.5MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	188	11	199
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	188	12	200

Accuracy

100.0%

Counts

200 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.9%	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
	90.0%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) (neg.f64 (sin.f64 y))))
▶	90.6%	(*.f64 (/.f64 x y) (sin.f64 y))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	99.8%	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
	63.0%	(.f64 x (.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y))
▶	99.7%	(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
	51.1%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
▶	50.9%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	51.2%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
▶	51.7%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Compiler

Compiled 242 to 185 computations (23.6% saved)

simplify100.0ms (1.4%)

Memory

5.6MiB live, 44.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (sin.f64 y))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) (sin.f64 y))
cost-diff	0	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ (sin y) y) #s(literal 1 binary64))
cost-diff	0	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 y (sin.f64 y))
cost-diff	384	(/.f64 x (/.f64 y (sin.f64 y)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	129
0	40	126
1	65	125
2	120	123
3	254	123
4	477	123
5	638	123
6	1353	123
7	2277	123
8	3334	123
9	3507	123
10	3615	123
11	4203	123
12	4203	123
13	4203	123
14	4209	123
0	4209	123

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize76.0ms (1%)

Memory

-7.8MiB live, 110.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 y)
accuracy	0	(neg.f64 (sin.f64 y))
accuracy	0.0859375	(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
accuracy	0.248378759768442	(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
accuracy	0	(/.f64 x y)
accuracy	0	(sin.f64 y)
accuracy	6.039024162079379	(*.f64 (/.f64 x y) (sin.f64 y))
accuracy	0.03125	(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
accuracy	0.08203125	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
accuracy	0.0859375	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
accuracy	31.467934747703474	#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
accuracy	0.0859375	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy	31.19588555309933	#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy	0	(sin.f64 y)
accuracy	0.09765625	(/.f64 x (/.f64 y (sin.f64 y)))
accuracy	0.10546875	(/.f64 y (sin.f64 y))

Samples

60.0ms

256×

valid

Compiler

Compiled 235 to 48 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 15.0ms (34.9% of total)

ival-mult: 11.0ms (25.6% of total)

ival-sin: 6.0ms (14% of total)

const: 6.0ms (14% of total)

ival-add: 2.0ms (4.7% of total)

ival-neg: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

15 → 252

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 (sin.f64 y)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (sin y) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (neg.f64 (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (neg.f64 (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (neg.f64 (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (neg.f64 (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 x y) (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (+ (* 1/120 (* y y)) -1/6) (* (/ x y) (sin y)) (/ x y) (* (/ -1 y) (neg (sin y))) (* x (* (/ -1 y) (neg (sin y)))) (/ -1 y) (neg (sin y)))
2.0ms	y	@	-inf	((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (+ (* 1/120 (* y y)) -1/6) (* (/ x y) (sin y)) (/ x y) (* (/ -1 y) (neg (sin y))) (* x (* (/ -1 y) (neg (sin y)))) (/ -1 y) (neg (sin y)))
2.0ms	y	@	0	((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (+ (* 1/120 (* y y)) -1/6) (* (/ x y) (sin y)) (/ x y) (* (/ -1 y) (neg (sin y))) (* x (* (/ -1 y) (neg (sin y)))) (/ -1 y) (neg (sin y)))
1.0ms	x	@	-inf	((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (+ (* 1/120 (* y y)) -1/6) (* (/ x y) (sin y)) (/ x y) (* (/ -1 y) (neg (sin y))) (* x (* (/ -1 y) (neg (sin y)))) (/ -1 y) (neg (sin y)))
1.0ms	x	@	0	((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (+ (* 1/120 (* y y)) -1/6) (* (/ x y) (sin y)) (/ x y) (* (/ -1 y) (neg (sin y))) (* x (* (/ -1 y) (neg (sin y)))) (/ -1 y) (neg (sin y)))

simplify243.0ms (3.3%)

Memory

-20.4MiB live, 131.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	1581
1	239	1581
2	623	1549
3	1907	1539
4	3334	1539
5	5164	1539
6	7919	1539
0	8002	1452

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 246

Calls

Call 1

Inputs
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
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)))
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)))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
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)
(/ -1 y)
(/ -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))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* 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)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* 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)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)

Outputs
x
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x)
#s(literal 1 binary64)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
y
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) y)
x
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x)
#s(literal 1 binary64)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
x
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x)
#s(literal 1 binary64)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
x
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
#s(literal 1 binary64)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
x
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y))
(neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))
(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) y)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 y y))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(neg.f64 (sin.f64 y))
(neg.f64 (sin.f64 y))
(neg.f64 (sin.f64 y))
(neg.f64 (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))
(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) y)
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 y y))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(neg.f64 (sin.f64 y))
(neg.f64 (sin.f64 y))
(neg.f64 (sin.f64 y))
(neg.f64 (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)

rewrite222.0ms (3%)

Memory

7.4MiB live, 127.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	108
0	40	105
1	118	102
2	617	102
3	5232	102
0	8410	102

Stop Event

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

Counts

15 → 679

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval240.0ms (3.3%)

Memory: 12.6MiB live, 164.9MiB allocated
Compiler: Compiled 16 707 to 1 980 computations (88.1% saved)

prune73.0ms (1%)

Memory

-2.6MiB live, 74.8MiB allocated

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	1 009	4	1 013
Fresh	1	5	6
Picked	0	5	5
Done	0	1	1
Total	1 010	15	1 025

Accuracy

100.0%

Counts

1 025 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.9%	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	90.2%	(/.f64 (sin.f64 y) (/.f64 y x))
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
	66.7%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
	66.7%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
✓	90.6%	(*.f64 (/.f64 x y) (sin.f64 y))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
▶	99.8%	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
	63.0%	(.f64 x (.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y))
✓	99.7%	(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
▶	51.6%	(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y))))
▶	51.1%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
✓	50.9%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
▶	51.2%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
✓	51.7%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Compiler

Compiled 275 to 206 computations (25.1% saved)

simplify87.0ms (1.2%)

Memory

-2.7MiB live, 36.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y x)
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 (sin.f64 y) (/.f64 y x))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
cost-diff	0	#s(approx (neg (sin y)) (neg.f64 y))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y))))
cost-diff	192	(*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
cost-diff	-384	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 y (sin.f64 y))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	195
0	52	197
1	88	191
2	150	189
3	339	189
4	611	189
5	901	189
6	1133	189
7	1385	189
8	1436	189
9	1481	189
10	1550	189
11	1564	189
12	1574	189
13	1574	189
0	1574	189

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize296.0ms (4%)

Memory

10.7MiB live, 91.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	0	(sin.f64 y)
accuracy	6.2939640280298965	(/.f64 (sin.f64 y) (/.f64 y x))
accuracy	0.03125	(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))
accuracy	0.0859375	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
accuracy	0.2818462802463474	(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy	31.3569293792549	#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy	0	(neg.f64 y)
accuracy	0.0859375	(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y))))
accuracy	0.248378759768442	(*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y)))
accuracy	31.384878959779417	#s(approx (neg (sin y)) (neg.f64 y))
accuracy	0	(*.f64 y y)
accuracy	0.0859375	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
accuracy	0.13671875	(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy	31.341314581310037	#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
accuracy	0	(sin.f64 y)
accuracy	0.0859375	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
accuracy	0.10546875	(/.f64 y (sin.f64 y))
accuracy	0.140625	(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))

Samples

240.0ms

256×

valid

Compiler

Compiled 342 to 61 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 16.0ms (33.3% of total)

ival-div: 9.0ms (18.7% of total)

const: 9.0ms (18.7% of total)

ival-sin: 6.0ms (12.5% of total)

ival-add: 4.0ms (8.3% of total)

ival-neg: 2.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series203.0ms (2.8%)

Memory

-16.8MiB live, 22.1MiB allocated

Counts

20 → 312

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (neg (sin y)) (neg.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (neg (sin y)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (neg (sin y)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (neg (sin y)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (neg (sin y)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	((/ 1 (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ 1 (/ y (sin y)))) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (* (/ -1 y) (neg (sin y))) (* x (* (/ -1 y) (neg (sin y)))) (/ -1 y) (neg (sin y)) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (/ (sin y) (/ y x)) (/ y x) (neg y) (+ (* -1/5040 (* y y)) 1/120))
3.0ms	y	@	-inf	((/ 1 (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ 1 (/ y (sin y)))) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (* (/ -1 y) (neg (sin y))) (* x (* (/ -1 y) (neg (sin y)))) (/ -1 y) (neg (sin y)) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (/ (sin y) (/ y x)) (/ y x) (neg y) (+ (* -1/5040 (* y y)) 1/120))
2.0ms	y	@	0	((/ 1 (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ 1 (/ y (sin y)))) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (* (/ -1 y) (neg (sin y))) (* x (* (/ -1 y) (neg (sin y)))) (/ -1 y) (neg (sin y)) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (/ (sin y) (/ y x)) (/ y x) (neg y) (+ (* -1/5040 (* y y)) 1/120))
1.0ms	x	@	-inf	((/ 1 (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ 1 (/ y (sin y)))) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (* (/ -1 y) (neg (sin y))) (* x (* (/ -1 y) (neg (sin y)))) (/ -1 y) (neg (sin y)) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (/ (sin y) (/ y x)) (/ y x) (neg y) (+ (* -1/5040 (* y y)) 1/120))
1.0ms	x	@	0	((/ 1 (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ 1 (/ y (sin y)))) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (* (/ -1 y) (neg (sin y))) (* x (* (/ -1 y) (neg (sin y)))) (/ -1 y) (neg (sin y)) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (/ (sin y) (/ y x)) (/ y x) (neg y) (+ (* -1/5040 (* y y)) 1/120))

simplify730.0ms (9.9%)

Memory

-12.4MiB live, 126.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	1939
1	259	1939
2	672	1907
3	2005	1889
4	3618	1889
5	5748	1889
0	8173	1779

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 306

Calls

Call 1

Inputs
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
x
(+ 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)))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
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)
(/ -1 y)
(/ -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))
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)))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)

Outputs
#s(literal 1 binary64)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
y
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) y)
x
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x)
x
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x)
#s(literal 1 binary64)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
#s(literal 1 binary64)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
x
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y))
(neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) y))
x
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x)
#s(literal 1 binary64)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))
x
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
#s(literal 1/120 binary64)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(neg.f64 (sin.f64 y))
(neg.f64 (sin.f64 y))
(neg.f64 (sin.f64 y))
(neg.f64 (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64)))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(.f64 #s(literal -1/5040 binary64) (.f64 y y))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(neg.f64 (sin.f64 y))
(neg.f64 (sin.f64 y))
(neg.f64 (sin.f64 y))
(neg.f64 (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/5040 binary64)) (pow.f64 y #s(literal 6 binary64)))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) y)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(.f64 #s(literal -1/5040 binary64) (.f64 y y))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)

rewrite287.0ms (3.9%)

Memory

10.7MiB live, 210.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	172
0	52	168
1	173	166
2	997	166
0	8722	166

Stop Event

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

Counts

20 → 780

Calls

Call 1

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

Outputs
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eval220.0ms (3%)

Memory: 4.4MiB live, 343.8MiB allocated
Compiler: Compiled 24 432 to 2 842 computations (88.4% saved)

prune78.0ms (1.1%)

Memory

-20.9MiB live, 116.6MiB allocated

Pruning

20 alts after pruning (10 fresh and 10 done)

	Pruned	Kept	Total
New	1 170	7	1 177
Fresh	1	3	4
Picked	1	4	5
Done	0	6	6
Total	1 172	20	1 192

Accuracy

100.0%

Counts

1 192 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.9%	(/.f64 (*.f64 (sin.f64 y) x) y)
	39.7%	(/.f64 (*.f64 (neg.f64 x) #s(approx (neg (sin y)) (neg.f64 y))) y)
✓	90.2%	(/.f64 (sin.f64 y) (/.f64 y x))
▶	90.1%	(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)))
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
▶	66.7%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
▶	66.7%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
▶	55.3%	(*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y)))
✓	90.6%	(*.f64 (/.f64 x y) (sin.f64 y))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	99.8%	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
	66.7%	(.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))))
✓	99.7%	(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
✓	51.6%	(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y))))
✓	51.1%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
✓	50.9%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	51.2%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
	51.1%	(.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))))
▶	3.1%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
✓	51.7%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Compiler

Compiled 388 to 288 computations (25.8% saved)

simplify192.0ms (2.6%)

Memory

28.1MiB live, 104.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
cost-diff	0	#s(approx (neg (sin y)) (neg.f64 y))
cost-diff	0	(neg.f64 x)
cost-diff	0	(/.f64 (neg.f64 x) y)
cost-diff	0	(*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y)))
cost-diff	0	(.f64 (.f64 y y) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
cost-diff	0	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
cost-diff	0	(neg.f64 y)
cost-diff	0	(sin.f64 y)
cost-diff	384	(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)))
cost-diff	448	(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	210
0	55	210
1	92	208
2	158	204
3	292	204
4	887	204
5	2641	204
6	3680	204
7	4006	204
8	4318	204
9	4685	204
10	4718	204
11	4815	204
12	5021	204
13	5383	204
14	5964	204
15	5964	204
16	5992	204
17	5994	204
18	5994	204
0	5994	201

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)))
(sin.f64 y)
y
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(neg.f64 y)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
x
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
#s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
(*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y)))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
#s(approx (neg (sin y)) (neg.f64 y))
(neg.f64 y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
x
#s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
x
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 7/360 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)

Outputs
(*.f64 (/.f64 x y) (sin.f64 y))
(sin.f64 y)
y
(/.f64 y x)
(neg.f64 y)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(.f64 #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) x)
x
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
#s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (neg.f64 y)))
(/.f64 x (neg.f64 y))
(neg.f64 x)
x
y
#s(approx (neg (sin y)) (neg.f64 y))
(neg.f64 y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
x
#s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
x
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
#s(literal 7/360 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize214.0ms (2.9%)

Memory

0.3MiB live, 197.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
accuracy	0.0625	(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy	0.09765625	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
accuracy	31.158909184928916	#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
accuracy	0	(*.f64 y y)
accuracy	0.09765625	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
accuracy	0.140625	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy	31.039095846014504	#s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
accuracy	0	(neg.f64 y)
accuracy	0	(neg.f64 x)
accuracy	6.039024162079379	(*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y)))
accuracy	31.384878959779417	#s(approx (neg (sin y)) (neg.f64 y))
accuracy	0.0859375	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
accuracy	0.2421875	(.f64 (.f64 y y) #s(literal -1/6 binary64))
accuracy	31.341314581310037	#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
accuracy	31.49209190536234	#s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
accuracy	0	(sin.f64 y)
accuracy	0	(neg.f64 y)
accuracy	0.20703125	(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
accuracy	6.2939640280298965	(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)))

Samples

140.0ms

256×

valid

Compiler

Compiled 348 to 68 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

const: 86.0ms (70.2% of total)

ival-mult: 12.0ms (9.8% of total)

ival-div: 9.0ms (7.3% of total)

ival-sin: 7.0ms (5.7% of total)

ival-add: 4.0ms (3.3% of total)

ival-neg: 3.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory

14.3MiB live, 51.3MiB allocated

Counts

20 → 324

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (neg (sin y)) (neg.f64 y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (.f64 (.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (neg (sin y)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (neg (sin y)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (neg (sin y)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (neg (sin y)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((* (neg y) (/ -1 x)) (/ (sin y) (* (neg y) (/ -1 x))) (sin y) (neg y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (* (/ (neg x) y) (neg (sin y))) (/ (neg x) y) (neg x) (neg (sin y)) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6))
2.0ms	y	@	inf	((* (neg y) (/ -1 x)) (/ (sin y) (* (neg y) (/ -1 x))) (sin y) (neg y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (* (/ (neg x) y) (neg (sin y))) (/ (neg x) y) (neg x) (neg (sin y)) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6))
2.0ms	y	@	0	((* (neg y) (/ -1 x)) (/ (sin y) (* (neg y) (/ -1 x))) (sin y) (neg y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (* (/ (neg x) y) (neg (sin y))) (/ (neg x) y) (neg x) (neg (sin y)) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6))
1.0ms	x	@	0	((* (neg y) (/ -1 x)) (/ (sin y) (* (neg y) (/ -1 x))) (sin y) (neg y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (* (/ (neg x) y) (neg (sin y))) (/ (neg x) y) (neg x) (neg (sin y)) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6))
1.0ms	x	@	-inf	((* (neg y) (/ -1 x)) (/ (sin y) (* (neg y) (/ -1 x))) (sin y) (neg y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (* (/ (neg x) y) (neg (sin y))) (/ (neg x) y) (neg x) (neg (sin y)) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6))

simplify252.0ms (3.4%)

Memory

-18.7MiB live, 270.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	1861
1	269	1861
2	680	1829
3	1990	1819
4	3275	1819
5	6137	1819
0	8297	1720

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 318

Calls

Call 1

Inputs
(/ y x)
(/ y x)
(/ y x)
(/ y x)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
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)
(* -1 y)
(* -1 y)
(* -1 y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x 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))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
1/6
(+ 1/6 (* 7/360 (pow y 2)))
(+ 1/6 (* 7/360 (pow y 2)))
(+ 1/6 (* 7/360 (pow y 2)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(sin y)
(sin y)
(sin y)
(sin y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(* 7/360 (pow y 4))
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 7/360 (pow y 2))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(sin y)
(sin y)
(sin y)
(sin y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(* -1 (sin y))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(* 7/360 (pow y 4))
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* 7/360 (pow y 2))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)

Outputs
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
x
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x)
y
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
x
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x)
#s(literal 1 binary64)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
x
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x)
(/.f64 x (neg.f64 y))
(/.f64 x (neg.f64 y))
(/.f64 x (neg.f64 y))
(/.f64 x (neg.f64 y))
(neg.f64 y)
(neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y))
(neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) y))
x
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x)
#s(literal 1 binary64)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
x
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x)
#s(literal 1 binary64)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 x (neg.f64 y))
(/.f64 x (neg.f64 y))
(/.f64 x (neg.f64 y))
(/.f64 x (neg.f64 y))
(neg.f64 (sin.f64 y))
(neg.f64 (sin.f64 y))
(neg.f64 (sin.f64 y))
(neg.f64 (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 7/360 binary64))
(.f64 (.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal 7/360 binary64) (.f64 y y))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(neg.f64 y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 x (neg.f64 y))
(/.f64 x (neg.f64 y))
(/.f64 x (neg.f64 y))
(/.f64 x (neg.f64 y))
(neg.f64 (sin.f64 y))
(neg.f64 (sin.f64 y))
(neg.f64 (sin.f64 y))
(neg.f64 (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(/.f64 y (sin.f64 y))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 7/360 binary64))
(.f64 (.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) y) y)
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal 7/360 binary64) (.f64 y y))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 x (neg.f64 y))
(/.f64 x (neg.f64 y))
(/.f64 x (neg.f64 y))
(/.f64 x (neg.f64 y))
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 x (neg.f64 y))
(/.f64 x (neg.f64 y))
(/.f64 x (neg.f64 y))
(/.f64 x (neg.f64 y))
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(/.f64 y x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 x (neg.f64 y))
(/.f64 x (neg.f64 y))
(/.f64 x (neg.f64 y))
(/.f64 x (neg.f64 y))
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) x)

rewrite172.0ms (2.3%)

Memory

-5.5MiB live, 271.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	182
0	55	182
1	178	178
2	1078	173
0	8626	173

Stop Event

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

Counts

20 → 719

Calls

Call 1

Inputs
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)))
(sin.f64 y)
(neg.f64 y)
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
#s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y)))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
#s(approx (neg (sin y)) (neg.f64 y))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))

Outputs
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eval195.0ms (2.6%)

Memory: 3.3MiB live, 387.1MiB allocated
Compiler: Compiled 23 146 to 2 629 computations (88.6% saved)

prune48.0ms (0.6%)

Memory

30.7MiB live, 195.2MiB allocated

Pruning

27 alts after pruning (14 fresh and 13 done)

	Pruned	Kept	Total
New	1 122	10	1 132
Fresh	1	4	5
Picked	2	3	5
Done	0	10	10
Total	1 125	27	1 152

Accuracy

100.0%

Counts

1 152 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.6%	(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
	87.9%	(/.f64 (*.f64 (sin.f64 y) x) y)
	48.7%	(/.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) x)
	37.1%	(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(approx (neg (sin y)) (neg.f64 y))) (*.f64 x y))
	48.6%	(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)) (.f64 x (neg.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64))))))
	39.7%	(/.f64 (*.f64 (neg.f64 x) #s(approx (neg (sin y)) (neg.f64 y))) y)
✓	90.2%	(/.f64 (sin.f64 y) (/.f64 y x))
✓	90.1%	(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)))
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
	66.5%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
	66.5%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
	19.2%	(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
	66.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
✓	55.3%	(*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y)))
✓	90.6%	(*.f64 (/.f64 x y) (sin.f64 y))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	99.8%	(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
	66.7%	(.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))))
✓	99.7%	(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
✓	51.6%	(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y))))
✓	51.1%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
✓	50.9%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	51.2%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
	51.1%	(.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))))
✓	3.1%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
	3.1%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) y) y))))
✓	51.7%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Compiler

Compiled 814 to 395 computations (51.5% saved)

regimes96.0ms (1.3%)

Memory

1.1MiB live, 117.3MiB allocated

Counts

33 → 1

Calls

Call 1

Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) y) y))))
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) #s(approx (neg (sin y)) (neg.f64 y))) y)
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))))
(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(approx (neg (sin y)) (neg.f64 y))) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)) (.f64 x (neg.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) x)
(.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))))
(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)))
(.f64 x (.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) (neg.f64 (sin.f64 y))))

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

Calls

4 calls:

50.0ms	(/.f64 (sin.f64 y) y)
24.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
11.0ms	y
10.0ms	x

Results

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

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes33.0ms (0.4%)

Memory

-0.0MiB live, 76.4MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) y) y))))
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) #s(approx (neg (sin y)) (neg.f64 y))) y)
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (sin y)) (neg.f64 y))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))))
(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(approx (neg (sin y)) (neg.f64 y))) (*.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 1 binary64)) (.f64 x (neg.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) x)
(.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))))

Outputs
(.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))))

Calls

4 calls:

9.0ms	(/.f64 (sin.f64 y) y)
8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms	x
7.0ms	y

Results

Accuracy	Segments	Branch
66.7%	1	`x`
66.7%	1	`y`
66.7%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
66.7%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes86.0ms (1.2%)

Memory

-17.6MiB live, 29.7MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	y
5.0ms	x
5.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
66.7%	1	`x`
66.7%	1	`(/.f64 (sin.f64 y) y)`
66.7%	1	`y`
66.7%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes15.0ms (0.2%)

Memory

-9.5MiB live, 29.6MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))))

Calls

4 calls:

4.0ms	x
3.0ms	y
3.0ms	(/.f64 (sin.f64 y) y)
3.0ms	(*.f64 x (/.f64 (sin.f64 y) y))

Results

Accuracy	Segments	Branch
66.7%	2	`(/.f64 (sin.f64 y) y)`
64.8%	2	`x`
66.8%	2	`y`
66.2%	2	`(*.f64 x (/.f64 (sin.f64 y) y))`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes10.0ms (0.1%)

Memory

25.8MiB live, 25.8MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
3.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
64.6%	2	`(*.f64 x (/.f64 (sin.f64 y) y))`
64.8%	2	`(/.f64 (sin.f64 y) y)`
65.0%	2	`y`

Compiler

Compiled 11 to 11 computations (0% saved)

regimes13.0ms (0.2%)

Memory

-6.6MiB live, 31.4MiB allocated

Accuracy

Total -31.4b remaining (-101.6%)

Threshold costs -31.4b (-101.6%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Calls

4 calls:

5.0ms	y
3.0ms	x
3.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
2.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
51.7%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
51.7%	1	`x`
51.7%	1	`(/.f64 (sin.f64 y) y)`
51.7%	1	`y`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch14.0ms (0.2%)

Memory

-10.9MiB live, 27.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	6.401899903967919e+27	9.650528241249756e+28

Samples

9.0ms

96×

valid

Compiler

Compiled 207 to 172 computations (16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sin: 5.0ms (78.1% of total)

ival-div: 1.0ms (15.6% of total)

ival-mult: 1.0ms (15.6% of total)

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

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

bsearch27.0ms (0.4%)

Memory

-30.4MiB live, 28.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	2.886979228565259e+35	5.415456593786722e+38

Samples

9.0ms

128×

valid

Compiler

Compiled 201 to 178 computations (11.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sin: 4.0ms (64.4% of total)

ival-div: 1.0ms (16.1% of total)

ival-mult: 1.0ms (16.1% of total)

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

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

simplify26.0ms (0.4%)

Memory

17.1MiB live, 56.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	107
1	59	107
2	70	107
3	81	107
4	86	107
5	89	107
6	90	107

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 10499999999999999452324560896 binary64)) (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) (/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))))))
(if (<=.f64 y #s(literal 289999999999999994593110527704039424 binary64)) (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Outputs
(*.f64 (/.f64 (sin.f64 y) y) x)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))) x)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 10499999999999999452324560896 binary64)) (.f64 #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) x) (/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))))
(if (<=.f64 y #s(literal 289999999999999994593110527704039424 binary64)) (.f64 #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) x) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (neg.f64 x) y)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x)

soundness1.3s (17.7%)

Memory

22.7MiB live, 927.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	19	12
2	72	12
3	336	12
0	1798	12
0	97	1861
1	269	1861
2	680	1829
3	1990	1819
4	3275	1819
5	6137	1819
0	8297	1720
0	43	306
1	118	306
2	310	296
3	920	294
4	1455	294
5	2247	294
6	3373	294
7	3665	294
8	4402	294
9	6864	294
0	8542	276
0	91	1581
1	239	1581
2	623	1549
3	1907	1539
4	3334	1539
5	5164	1539
6	7919	1539
0	8002	1452
0	102	1939
1	259	1939
2	672	1907
3	2005	1889
4	3618	1889
5	5748	1889
0	8173	1779
0	30	172
0	52	168
1	173	166
2	997	166
0	8722	166

Stop Event

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

Compiler

Compiled 262 to 159 computations (39.3% saved)

preprocess79.0ms (1.1%)

Memory

2.3MiB live, 271.6MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 322 to 178 computations (44.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze30.0ms (0.4%)

sample1.2s (16.9%)

explain68.0ms (0.9%)

preprocess50.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize23.0ms (0.3%)

series7.0ms (0.1%)

simplify171.0ms (2.3%)

rewrite64.0ms (0.9%)

eval26.0ms (0.3%)

prune12.0ms (0.2%)

simplify100.0ms (1.4%)

localize76.0ms (1%)

series18.0ms (0.2%)

simplify243.0ms (3.3%)

rewrite222.0ms (3%)

eval240.0ms (3.3%)

prune73.0ms (1%)

simplify87.0ms (1.2%)

localize296.0ms (4%)

series203.0ms (2.8%)

simplify730.0ms (9.9%)

rewrite287.0ms (3.9%)

eval220.0ms (3%)

prune78.0ms (1.1%)

simplify192.0ms (2.6%)

localize214.0ms (2.9%)

series25.0ms (0.3%)

simplify252.0ms (3.4%)

rewrite172.0ms (2.3%)

eval195.0ms (2.6%)

prune48.0ms (0.6%)

regimes96.0ms (1.3%)

regimes33.0ms (0.4%)

regimes86.0ms (1.2%)

regimes15.0ms (0.2%)

regimes10.0ms (0.1%)

regimes13.0ms (0.2%)

bsearch14.0ms (0.2%)

bsearch27.0ms (0.4%)

simplify26.0ms (0.4%)

soundness1.3s (17.7%)

preprocess79.0ms (1.1%)

end0.0ms (0%)

Profiling