Metrics for Trigonometry A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze7.0ms (0.1%)

Memory

-24.7MiB live, 14.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
0%	0%	25%	75%	0%	0%	0%	1
50%	12.5%	12.5%	75%	0%	0%	0%	2
50%	12.5%	12.5%	75%	0%	0%	0%	3
75%	18.7%	6.2%	75%	0%	0%	0%	4
87.5%	21.8%	3.1%	75%	0%	0%	0%	5
93.8%	23.4%	1.6%	75%	0%	0%	0%	6
93.8%	23.4%	1.6%	75%	0%	0%	0%	7
96.9%	24.2%	0.8%	75%	0%	0%	0%	8
96.9%	24.2%	0.8%	75%	0%	0%	0%	9
98.4%	24.6%	0.4%	75%	0%	0%	0%	10
98.4%	24.6%	0.4%	75%	0%	0%	0%	11
99.2%	24.8%	0.2%	75%	0%	0%	0%	12

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.2s (14.7%)

Memory

71.7MiB live, 2 241.8MiB allocated

Samples

869.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 668.0ms

ival-sin: 201.0ms (30.1% of total)

ival-cos: 168.0ms (25.1% of total)

ival-mult: 114.0ms (17.1% of total)

ival-<=: 62.0ms (9.3% of total)

ival-add: 50.0ms (7.5% of total)

ival-div: 49.0ms (7.3% of total)

ival-and: 11.0ms (1.6% of total)

exact: 11.0ms (1.6% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain121.0ms (1.5%)

Memory

-15.0MiB live, 269.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 1 binary64)`
-	-	`e`
-	-	`(*.f64 e (cos.f64 v))`
-	-	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
-	-	`v`
-	-	`(sin.f64 v)`
-	-	`(*.f64 e (sin.f64 v))`
-	-	`(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))`
-	-	`(cos.f64 v)`

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

58.0ms

512×

valid

Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-cos: 16.0ms (39.3% of total)

ival-sin: 12.0ms (29.5% of total)

ival-mult: 7.0ms (17.2% of total)

ival-div: 3.0ms (7.4% of total)

ival-add: 2.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess72.0ms (0.9%)

Memory

-2.2MiB live, 36.1MiB allocated

Algorithm

1×	egg-herbie

Rules

524×	`times-frac`
318×	`distribute-lft-neg-in`
308×	`distribute-rgt-in`
302×	`associate-r`
292×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	63
1	64	57
2	152	55
3	402	55
4	1000	55
5	1548	55
6	1723	55
7	1874	55
8	2030	55
9	2445	55
10	2540	55
11	2601	55
12	2653	55
13	2658	55
0	9	11
0	15	11
1	22	11
2	25	11
3	26	11
0	26	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Outputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))

Symmetry

(negabs v)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 v)
cost-diff	0	(*.f64 e (sin.f64 v))
cost-diff	0	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))

Rules

16×	`lower-*.f32`
12×	`lower-*.f64`
8×	`*-commutative`
6×	`lower-/.f32`
4×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
0	15	32
1	22	32
2	25	32
3	26	32
0	26	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(cos.f64 v)

Outputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(cos.f64 v)

localize37.0ms (0.5%)

Memory

3.5MiB live, 80.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 v)
accuracy	0.015625	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
accuracy	0.125	(*.f64 e (sin.f64 v))
accuracy	0.13671875	(*.f64 e (cos.f64 v))

Samples

27.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 6.0ms (33% of total)

ival-cos: 5.0ms (27.5% of total)

ival-mult: 3.0ms (16.5% of total)

ival-div: 2.0ms (11% of total)

ival-add: 1.0ms (5.5% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-8.4MiB live, 31.7MiB allocated

Counts

6 → 120

Calls

Call 1

Inputs
#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())
#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())
#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor 0 e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor 0 e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor 0 e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (cos v) (/ 1 e))) (taylor inf e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (cos v) (/ 1 e))) (taylor inf e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (cos v) (/ 1 e))) (taylor inf e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 e) (taylor 0 v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* -1/2 (* e (pow v 2))))) (taylor 0 v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) (taylor 0 v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) (taylor 0 v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor inf v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor inf v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor inf v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor inf v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor -inf v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor -inf v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor -inf v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor -inf v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) (taylor inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) (taylor inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e v) (taylor 0 v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ e (* -1/6 (* e (pow v 2))))) (taylor 0 v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) (taylor 0 v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) (taylor 0 v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt v (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* -1/6 (pow v 2)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor -inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor -inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor -inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor -inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor 0 e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor 0 e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor 0 e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor 0 e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt e (taylor 0 v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ e (* -1/2 (* e (pow v 2)))) (taylor 0 v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) (taylor 0 v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) (taylor 0 v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow v 2))) (taylor 0 v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) (taylor 0 v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) (taylor 0 v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor -inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor -inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor -inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor -inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	v	@	-inf	(+ 1 (* e (cos v)))
2.0ms	v	@	0	(+ 1 (* e (cos v)))
2.0ms	v	@	0	(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms	v	@	-inf	(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms	v	@	inf	(/ (* e (sin v)) (+ 1 (* e (cos v))))

simplify540.0ms (6.8%)

Memory

-228.6MiB live, 463.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 120×	`lower-fma.f64`
14 120×	`lower-fma.f32`
5 646×	`lower-*.f64`
5 646×	`lower-*.f32`
3 948×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	1209
1	584	1194
2	1652	1162
3	4907	1089
0	8039	1013

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 118

Calls

Call 1

Inputs
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
e
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)

Outputs
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (+ (cos v) (/ 1 e)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(fma.f64 e (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+.f64 e (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 e (.f64 v (.f64 v (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))) #s(literal 1 binary64)))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(.f64 e (fma.f64 e (.f64 (*.f64 (cos.f64 v) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(.f64 e (fma.f64 e (.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e (neg.f64 e)) (.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) (sin.f64 v)))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(fma.f64 (/.f64 (sin.f64 v) (.f64 e e)) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) #s(literal 1 binary64)) (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e))
(/ (* e v) (+ 1 e))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (.f64 e (.f64 e #s(literal -1/24 binary64))) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (.f64 e (.f64 e #s(literal -1/24 binary64))) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1/5040 binary64)) (neg.f64 (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/24 binary64) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 (.f64 e #s(literal -1/720 binary64)) (+.f64 #s(literal 1 binary64) e)))))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (/.f64 (.f64 e (.f64 e #s(literal -1/24 binary64))) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(.f64 e (fma.f64 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 e (.f64 v (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (.f64 e #s(literal -1/6 binary64))) e))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64))) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
e
(+ e (* -1/2 (* e (pow v 2))))
(fma.f64 e (.f64 v (.f64 v #s(literal -1/2 binary64))) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(fma.f64 (.f64 v v) (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 e (.f64 v (.f64 v (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))))) e)
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)

rewrite362.0ms (4.5%)

Memory

33.0MiB live, 543.1MiB allocated

Rules

5 798×	`lower-fma.f64`
5 798×	`lower-fma.f32`
4 350×	`lower-/.f32`
4 348×	`lower-/.f64`
3 988×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	15	29
1	42	29
2	241	29
3	2097	29
0	8370	27

Stop Event

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

Counts

6 → 347

Calls

Call 1

Inputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(*.f64 e (sin.f64 v))
(sin.f64 v)
(*.f64 e (cos.f64 v))
(cos.f64 v)

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(+.f64 (neg.f64 (neg.f64 (*.f64 e (cos.f64 v)))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 e (cos.f64 v))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log1p.f64 (.f64 e (cos.f64 v))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (/.f64 (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(.f64 #s(literal 1 binary64) (/.f64 (.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (sin.f64 v) (.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(.f64 (.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
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(.f64 (fma.f64 (cos.f64 v) (.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (.f64 e (sin.f64 v)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (/.f64 (.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(.f64 (neg.f64 (sin.f64 v)) (.f64 e (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(.f64 (neg.f64 (sin.f64 v)) (/.f64 e (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (.f64 (sin.f64 v) (neg.f64 e)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 e (sin.f64 v))) #s(literal -1 binary64)))
(.f64 (neg.f64 e) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(.f64 (neg.f64 e) (.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (.f64 e (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 e (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64)))
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(.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (.f64 (fma.f64 (cos.f64 v) (.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)) e))
(.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) e) #s(literal -1 binary64)))
(.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))))
(.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e))
(.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) e) #s(literal -1 binary64)))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v)))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))))
(.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 e (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 e #s(literal 1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(.f64 (.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (neg.f64 e))) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 v) (.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (sin.f64 v) (neg.f64 e)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (fma.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 e (sin.f64 v))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (sin.f64 v)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64)) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) (neg.f64 e)))
(neg.f64 (*.f64 (sin.f64 v) (neg.f64 e)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (sin.f64 v) (neg.f64 e)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 e (sin.f64 v)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (sin.f64 v) (neg.f64 e))))))
(.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
(*.f64 e (neg.f64 (neg.f64 (sin.f64 v))))
(.f64 e (.f64 (sin.f64 v) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) (neg.f64 (neg.f64 e)))
(.f64 (.f64 e (sin.f64 v)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (sin.f64 v) (neg.f64 e)))
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e))
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v)))
(*.f64 (neg.f64 (neg.f64 (sin.f64 v))) e)
(*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v))
(sin.f64 v)
(exp.f64 (log.f64 (*.f64 e (cos.f64 v))))
(exp.f64 (.f64 (log.f64 (.f64 e (cos.f64 v))) #s(literal 1 binary64)))
(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))
(*.f64 e (cos.f64 v))
(*.f64 (cos.f64 v) e)
(.f64 (.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v))))
(cos.f64 v)
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(*.f64 (cos.f64 v) #s(literal 1 binary64))

eval65.0ms (0.8%)

Memory: 10.3MiB live, 198.8MiB allocated
Compiler: Compiled 13 630 to 1 268 computations (90.7% saved)

prune83.0ms (1%)

Memory

9.9MiB live, 244.5MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	453	12	465
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	454	12	466

Accuracy

99.9%

Counts

466 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.0%	(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	56.1%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
▶	61.8%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	99.2%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	99.6%	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
	98.5%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
	99.7%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
▶	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
▶	47.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
▶	99.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
	47.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
▶	98.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))

Compiler

Compiled 358 to 216 computations (39.7% saved)

simplify222.0ms (2.8%)

Memory

-24.8MiB live, 183.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
cost-diff	0	(sin.f64 v)
cost-diff	0	(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
cost-diff	0	#s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff	0	(sin.f64 v)
cost-diff	0	(*.f64 e (sin.f64 v))
cost-diff	0	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff	0	(sin.f64 v)
cost-diff	0	(*.f64 e (sin.f64 v))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
cost-diff	0	(+.f64 #s(literal 1 binary64) e)
cost-diff	0	(*.f64 e v)
cost-diff	0	(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
cost-diff	0	(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
cost-diff	0	(sin.f64 v)
cost-diff	0	(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
cost-diff	0	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)

Rules

2 304×	`lower-fma.f32`
2 296×	`lower-fma.f64`
1 520×	`lower-*.f32`
1 508×	`lower-*.f64`
458×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	208
0	52	203
1	97	203
2	159	203
3	400	203
4	724	203
5	847	203
6	1139	203
7	1598	203
8	2065	203
9	2757	203
10	3380	203
11	3688	203
12	3706	203
13	3719	203
14	3724	203
15	3724	203
16	3744	203
17	3752	203
18	3752	203
19	3758	203
0	3758	203

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e v)
e
v
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
#s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 v #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(cos.f64 v)
(*.f64 e (neg.f64 e))
e
(neg.f64 e)

Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64)))
(*.f64 e v)
(*.f64 v e)
e
v
(+.f64 #s(literal 1 binary64) e)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
e
(sin.f64 v)
v
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
e
(sin.f64 v)
v
#s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 v #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (neg.f64 (.f64 (.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(neg.f64 (.f64 (.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(*.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))
(cos.f64 v)
(*.f64 e (neg.f64 e))
e
(neg.f64 e)

localize126.0ms (1.6%)

Memory

22.2MiB live, 214.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 e)
accuracy	0	(cos.f64 v)
accuracy	0.14453125	(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
accuracy	0.2840718079974167	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
accuracy	0.015625	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
accuracy	0.125	(*.f64 e (sin.f64 v))
accuracy	9.121230858403585	(fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	25.34742300879571	#s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	0	(sin.f64 v)
accuracy	0.125	(*.f64 e (sin.f64 v))
accuracy	1.033469701091627	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
accuracy	0	(+.f64 #s(literal 1 binary64) e)
accuracy	0	(*.f64 e v)
accuracy	0.02734375	(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
accuracy	33.41817653072462	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
accuracy	0	(sin.f64 v)
accuracy	0	(cos.f64 v)
accuracy	0.01953125	(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
accuracy	0.1328125	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)

Samples

73.0ms

256×

valid

Compiler

Compiled 173 to 28 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-add: 23.0ms (40.6% of total)

ival-mult: 14.0ms (24.7% of total)

ival-sin: 8.0ms (14.1% of total)

ival-cos: 5.0ms (8.8% of total)

ival-div: 4.0ms (7.1% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.4%)

Memory

2.8MiB live, 80.4MiB allocated

Counts

18 → 384

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 e v) (+.f64 #s(literal 1 binary64) e))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 e v) (+.f64 #s(literal 1 binary64) e)) (patch (/.f64 (.f64 e v) (+.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())
#s(alt (.f64 e v) (patch (.f64 e v) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) e) (patch (+.f64 #s(literal 1 binary64) e) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (sin.f64 v))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v))) #<representation binary64>) () ())
#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (patch #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)) (patch (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e) (patch (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e) #<representation binary64>) () ())
#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())
#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())

Outputs
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor inf e) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
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#s(alt (cos v) (taylor inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor -inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor -inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor -inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor -inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 e) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (+ 1 (* -1/2 (pow v 2))))) (taylor 0 e) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (+ 1 (* -1/2 (pow v 2))))) (taylor 0 e) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (+ 1 (* -1/2 (pow v 2))))) (taylor 0 e) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* e (+ 1 (* -1/2 (pow v 2)))) (taylor inf e) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* e (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))) (taylor inf e) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* e (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))) (taylor inf e) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* e (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))) (taylor inf e) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* e (+ 1 (* -1/2 (pow v 2)))) (taylor -inf e) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (+ 1 (* -1/2 (pow v 2)))) (/ 1 e)))) (taylor -inf e) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (+ 1 (* -1/2 (pow v 2)))) (/ 1 e)))) (taylor -inf e) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (+ 1 (* -1/2 (pow v 2)))) (/ 1 e)))) (taylor -inf e) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 e) (taylor 0 v) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* -1/2 (* e (pow v 2))))) (taylor 0 v) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* -1/2 (* e (pow v 2))))) (taylor 0 v) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* -1/2 (* e (pow v 2))))) (taylor 0 v) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* e (pow v 2))) (taylor inf v) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ (* -1/2 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))) (taylor inf v) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ (* -1/2 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))) (taylor inf v) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ (* -1/2 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))) (taylor inf v) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* e (pow v 2))) (taylor -inf v) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ (* -1/2 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))) (taylor -inf v) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ (* -1/2 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))) (taylor -inf v) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ (* -1/2 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2))))) (taylor -inf v) (#s(alt (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor 0 e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor 0 e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor 0 e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor 0 e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor inf e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor inf e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor inf e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor inf e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor -inf e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor -inf e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor -inf e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())
#s(alt (* -1 e) (taylor -inf e) (#s(alt (neg.f64 e) (patch (neg.f64 e) #<representation binary64>) () ())) ())

Calls

96 calls:

Time	Variable		Point	Expression
3.0ms	v	@	-inf	(* (sin v) (+ (* (cos v) (* e (neg e))) e))
3.0ms	v	@	0	(/ (sin v) (+ (* e (cos v)) 1))
3.0ms	v	@	0	(+ (* e (+ (* v (* v -1/2)) 1)) 1)
1.0ms	v	@	0	(* (/ (sin v) (+ (* e (cos v)) 1)) e)
1.0ms	v	@	inf	(* (sin v) (+ (* (cos v) (* e (neg e))) e))

simplify310.0ms (3.9%)

Memory

27.9MiB live, 640.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 918×	`lower-fma.f64`
12 918×	`lower-fma.f32`
7 466×	`lower-*.f64`
7 466×	`lower-*.f32`
4 556×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	385	5713
1	1247	5507
2	3801	5452
0	8921	5145

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 378

Calls

Call 1

Inputs
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ v (+ 1 e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
(/ (sin v) (* e (cos v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
(/ (sin v) (* e (cos v)))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
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(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
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(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
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(/ (* e v) (+ 1 e))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
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(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* v (+ e (* -1 (pow e 2))))
(.f64 v (-.f64 e (.f64 e e)))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (* 1/2 (pow e 2)))))))
(.f64 v (fma.f64 v (.f64 v (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) (-.f64 e (.f64 e e))))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (* 1/120 (+ e (* -1 (pow e 2)))))))))))))
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(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (+ (* 1/120 (+ e (* -1 (pow e 2)))) (* (pow v 2) (+ (* -1/5040 (+ e (* -1 (pow e 2)))) (+ (* 1/720 (pow e 2)) (+ (* 1/240 (pow e 2)) (* 1/144 (pow e 2))))))))))))))))
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(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(.f64 (sin.f64 v) (neg.f64 (.f64 e (*.f64 e (cos.f64 v)))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(.f64 (sin.f64 v) (neg.f64 (.f64 e (*.f64 e (cos.f64 v)))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(+ e (* -1 (pow e 2)))
(-.f64 e (*.f64 e e))
(+ e (+ (* -1 (pow e 2)) (* 1/2 (* (pow e 2) (pow v 2)))))
(fma.f64 v (.f64 v (.f64 (.f64 e e) #s(literal 1/2 binary64))) (-.f64 e (.f64 e e)))
(+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2))))))
(fma.f64 (.f64 v v) (fma.f64 #s(literal -1/24 binary64) (.f64 e (.f64 e (.f64 v v))) (.f64 (.f64 e e) #s(literal 1/2 binary64))) (-.f64 e (*.f64 e e)))
(+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2)))))))))
(fma.f64 e (neg.f64 e) (fma.f64 (.f64 v v) (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 (.f64 v v) (fma.f64 e (.f64 e #s(literal -1/24 binary64)) (.f64 (.f64 v v) (.f64 (*.f64 e e) #s(literal 1/720 binary64)))))) e))
(+ e (* -1 (* (pow e 2) (cos v))))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
e
(* e (+ 1 (* -1 (* e (cos v)))))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(* e (+ 1 (* -1 (* e (cos v)))))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(* e (+ 1 (* -1 (* e (cos v)))))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(* -1 (* (pow e 2) (cos v)))
(neg.f64 (.f64 e (.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(* -1 (* (pow e 2) (cos v)))
(neg.f64 (.f64 e (.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
1
#s(literal 1 binary64)
(+ 1 (* e (+ 1 (* -1/2 (pow v 2)))))
(fma.f64 e (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* e (+ 1 (* -1/2 (pow v 2)))))
(fma.f64 e (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* e (+ 1 (* -1/2 (pow v 2)))))
(fma.f64 e (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* e (+ 1 (* -1/2 (pow v 2))))
(fma.f64 e (.f64 (.f64 v v) #s(literal -1/2 binary64)) e)
(* e (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))))
(fma.f64 e (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* e (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))))
(fma.f64 e (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* e (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))))
(fma.f64 e (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* e (+ 1 (* -1/2 (pow v 2))))
(fma.f64 e (.f64 (.f64 v v) #s(literal -1/2 binary64)) e)
(* -1 (* e (- (* -1 (+ 1 (* -1/2 (pow v 2)))) (/ 1 e))))
(fma.f64 e (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (+ 1 (* -1/2 (pow v 2)))) (/ 1 e))))
(fma.f64 e (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* e (- (* -1 (+ 1 (* -1/2 (pow v 2)))) (/ 1 e))))
(fma.f64 e (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 e (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 e (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 e (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1/2 (* e (pow v 2)))
(.f64 e (.f64 (*.f64 v v) #s(literal -1/2 binary64)))
(* (pow v 2) (+ (* -1/2 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))
(fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (/.f64 e (.f64 v v))) #s(literal 1 binary64))
(* (pow v 2) (+ (* -1/2 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))
(fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (/.f64 e (.f64 v v))) #s(literal 1 binary64))
(* (pow v 2) (+ (* -1/2 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))
(fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (/.f64 e (.f64 v v))) #s(literal 1 binary64))
(* -1/2 (* e (pow v 2)))
(.f64 e (.f64 (*.f64 v v) #s(literal -1/2 binary64)))
(* (pow v 2) (+ (* -1/2 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))
(fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (/.f64 e (.f64 v v))) #s(literal 1 binary64))
(* (pow v 2) (+ (* -1/2 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))
(fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (/.f64 e (.f64 v v))) #s(literal 1 binary64))
(* (pow v 2) (+ (* -1/2 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))
(fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (/.f64 e (.f64 v v))) #s(literal 1 binary64))
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)

rewrite281.0ms (3.5%)

Memory

-1.6MiB live, 551.2MiB allocated

Rules

6 450×	`lower-fma.f32`
6 442×	`lower-fma.f64`
4 722×	`lower-*.f32`
4 710×	`lower-*.f64`
4 180×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	169
0	52	164
1	186	164
2	1199	164
0	8264	164

Stop Event

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

Counts

18 → 587

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(*.f64 e v)
(+.f64 #s(literal 1 binary64) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(cos.f64 v)
(fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(neg.f64 e)

Outputs
(+.f64 (.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))))) (.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(+.f64 (.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))
(+.f64 (.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (.f64 (.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (.f64 (.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 (sin.f64 v) e) (fma.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (.f64 e (cos.f64 v))) (.f64 (/.f64 (.f64 (sin.f64 v) e) (fma.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))))) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))))) (*.f64 (cos.f64 v) (neg.f64 e))))
(+.f64 (.f64 (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))) (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (.f64 (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))) (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (.f64 (.f64 (.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 (.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 e (cos.f64 v)) (/.f64 (.f64 (sin.f64 v) e) (fma.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 v) e) (fma.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))))))) (.f64 (.f64 (cos.f64 v) (neg.f64 e)) (/.f64 (.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (.f64 (.f64 (.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))))) (.f64 (.f64 (cos.f64 v) (neg.f64 e)) (/.f64 (.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))))))))
(fma.f64 (.f64 e (cos.f64 v)) (/.f64 (.f64 (sin.f64 v) e) (fma.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 v) e) (fma.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)))))
(fma.f64 (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))) (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 (.f64 (.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (.f64 (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))) (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64) (.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))) (.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))))
(fma.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (.f64 (.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))))))
(fma.f64 (/.f64 (.f64 (sin.f64 v) e) (fma.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (.f64 e (cos.f64 v)) (.f64 (/.f64 (.f64 (sin.f64 v) e) (fma.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))))) #s(literal 1 binary64) (.f64 (/.f64 (.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))))) (.f64 (cos.f64 v) (neg.f64 e))))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(neg.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) e))
(neg.f64 (*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (neg.f64 e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (*.f64 (sin.f64 v) e))))
(/.f64 (.f64 (.f64 (sin.f64 v) e) (+.f64 (pow.f64 (.f64 e (cos.f64 v)) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 e (cos.f64 v)) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))))))))
(/.f64 (.f64 (.f64 (sin.f64 v) e) (-.f64 (pow.f64 (.f64 e (cos.f64 v)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))) (fma.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))))))
(/.f64 (.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (-.f64 (.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))))
(/.f64 (.f64 (.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))))
(/.f64 (.f64 (.f64 (sin.f64 v) e) (fma.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (sin.f64 v) e) (+.f64 (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) #s(literal -1 binary64)) (fma.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (.f64 e e) e) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) v)))))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))))) (+.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) (fma.f64 (cos.f64 v) (.f64 e e) e)))))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(.f64 (sin.f64 v) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(.f64 (.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (neg.f64 (.f64 (sin.f64 v) e)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (.f64 (sin.f64 v) e))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) e)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
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(/.f64 (-.f64 (.f64 (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e)) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e))))) (fma.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (-.f64 #s(literal 1 binary64) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e)))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e)) #s(literal -1 binary64)) (fma.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (-.f64 #s(literal 1 binary64) (fma.f64 v (.f64 (*.f64 v #s(literal -1/2 binary64)) e) e)))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e)) (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e)) #s(literal 1 binary64)) (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e))) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e)) (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) #s(literal 1 binary64)) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (-.f64 #s(literal 1 binary64) (fma.f64 v (.f64 (*.f64 v #s(literal -1/2 binary64)) e) e))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 e) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 v (.f64 (*.f64 v #s(literal -1/2 binary64)) e) e))))
(/.f64 (fma.f64 (.f64 e (.f64 e e)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/8 binary64))) (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 e e) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 1/4 binary64))) (-.f64 (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))) (.f64 (.f64 e (.f64 v (.f64 v #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 e (.f64 v (.f64 v #s(literal -1/2 binary64))))) #s(literal 3 binary64)) (.f64 e (.f64 e e))) (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 e (.f64 v (.f64 v #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 e (.f64 v (.f64 v #s(literal -1/2 binary64))))) (-.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) (.f64 e (.f64 v (.f64 v #s(literal -1/2 binary64))))) e))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e)) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e)) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e)) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (/.f64 (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e)) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 e e) (.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 1/4 binary64)))) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (-.f64 (.f64 e (.f64 v (.f64 v #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 e (.f64 v (.f64 v #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 e (.f64 v (.f64 v #s(literal -1/2 binary64)))))) (.f64 e e)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 e (.f64 v (*.f64 v #s(literal -1/2 binary64))))) e))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e)) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e)) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) (+.f64 (/.f64 (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e)) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (-.f64 #s(literal 1 binary64) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e)))))
(.f64 (fma.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(.f64 (fma.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (-.f64 #s(literal 1 binary64) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e))))))
(.f64 (neg.f64 (fma.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 v (.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 e) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 v (.f64 (.f64 v #s(literal -1/2 binary64)) e) e))))
(+.f64 #s(literal 0 binary64) (neg.f64 e))
(-.f64 #s(literal 0 binary64) e)
(-.f64 (/.f64 #s(literal 0 binary64) e) (/.f64 (*.f64 e e) e))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 e e #s(literal 0 binary64))) (/.f64 (.f64 e (.f64 e e)) (fma.f64 e e #s(literal 0 binary64))))
(neg.f64 e)
(neg.f64 (/.f64 (*.f64 e e) e))
(/.f64 #s(literal 1 binary64) (/.f64 e (*.f64 e (neg.f64 e))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e e #s(literal 0 binary64)) (.f64 (.f64 e (neg.f64 e)) e)))
(/.f64 (*.f64 e (neg.f64 e)) e)
(/.f64 (*.f64 e (neg.f64 e)) (-.f64 #s(literal 0 binary64) (neg.f64 e)))
(/.f64 (*.f64 e e) (neg.f64 e))
(/.f64 (.f64 (.f64 e (neg.f64 e)) e) (fma.f64 e e #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 e (neg.f64 e)) e) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 e e) (.f64 #s(literal 0 binary64) (neg.f64 e)))))
(/.f64 (neg.f64 (.f64 (.f64 e (neg.f64 e)) e)) (neg.f64 (fma.f64 e e #s(literal 0 binary64))))
(*.f64 e #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 e))
(*.f64 (neg.f64 e) #s(literal 1 binary64))
(.f64 (.f64 e (neg.f64 e)) (/.f64 #s(literal 1 binary64) e))
(*.f64 #s(literal -1 binary64) e)
(.f64 (.f64 (*.f64 e (neg.f64 e)) e) (/.f64 #s(literal 1 binary64) (fma.f64 e e #s(literal 0 binary64))))

eval137.0ms (1.7%)

Memory: 1.5MiB live, 409.8MiB allocated
Compiler: Compiled 24 440 to 2 059 computations (91.6% saved)

prune223.0ms (2.8%)

Memory

-16.1MiB live, 578.2MiB allocated

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	1 037	29	1 066
Fresh	5	2	7
Picked	2	3	5
Done	0	0	0
Total	1 044	34	1 078

Accuracy

100.0%

Counts

1 078 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.1%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
	99.2%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	47.1%	(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	47.2%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	48.5%	(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
▶	99.6%	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
	61.7%	(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 v)))
	98.5%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
	71.9%	(.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
	61.9%	(.f64 (/.f64 (sin.f64 v) (fma.f64 e #s(approx (cos v) (fma.f64 (.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) e)
	47.8%	(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
	99.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))))
	47.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
	34.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 e e) (.f64 e e)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e (+.f64 e (.f64 (cos.f64 v) (.f64 e e))))) (.f64 (fma.f64 e (.f64 e e) (pow.f64 (.f64 (cos.f64 v) (.f64 e (neg.f64 e))) #s(literal 3 binary64))) (sin.f64 v)))))
	22.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (.f64 e (neg.f64 e)))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 v) e) (-.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (.f64 (cos.f64 v) (.f64 e (neg.f64 e))))))) (+.f64 (pow.f64 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (.f64 e (neg.f64 e)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 3 binary64))))))
	46.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
	65.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (.f64 (fma.f64 (.f64 e (neg.f64 e)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64)) (.f64 e (neg.f64 e))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) (.f64 e e) e)))))
	38.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)) (.f64 (sin.f64 v) (neg.f64 (fma.f64 (cos.f64 v) (.f64 e e) e)))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (neg.f64 (fma.f64 (cos.f64 v) (.f64 e e) e))))))
✓	99.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
▶	99.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))
	98.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
✓	98.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
	46.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
	46.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
	46.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
	2.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
	47.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e)))))
▶	47.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v))))
▶	46.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
	70.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))))
	47.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 v (.f64 v (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) (-.f64 e (.f64 e e))))))
▶	46.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))))
	46.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))

Compiler

Compiled 1 305 to 668 computations (48.8% saved)

simplify260.0ms (3.3%)

Memory

19.9MiB live, 455.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)
cost-diff	0	(sin.f64 v)
cost-diff	0	(.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))
cost-diff	0	#s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e)))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))))
cost-diff	320	(fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (*.f64 e #s(literal 1/120 binary64)))
cost-diff	320	(fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v)))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v))))
cost-diff	64	(fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)
cost-diff	128	(-.f64 (.f64 v (-.f64 e (.f64 e e))) v)
cost-diff	0	(*.f64 e v)
cost-diff	0	#s(approx (/ (* e v) (+ 1 e)) (*.f64 e v))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
cost-diff	0	(cos.f64 v)
cost-diff	0	(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
cost-diff	384	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))

Rules

14 784×	`lower-fma.f32`
14 772×	`lower-fma.f64`
3 796×	`lower-*.f32`
3 772×	`lower-*.f64`
2 960×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	408
0	78	397
1	155	397
2	345	397
3	948	392
4	2671	379
5	5387	379
0	8030	362

Stop Event

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

Calls

Call 1

Inputs
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
e
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e v) (+ 1 e)) (*.f64 e v))
(*.f64 e v)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v))))
#s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v)))
(.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v))
e
(fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)
(-.f64 (.f64 v (-.f64 e (.f64 e e))) v)
(.f64 v (-.f64 e (.f64 e e)))
v
(-.f64 e (*.f64 e e))
(*.f64 e e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e)))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))
v
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (.f64 e #s(literal -1/6 binary64))) e)
(*.f64 v v)
(fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64)))
(.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64))))
(fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (*.f64 e #s(literal 1/120 binary64)))
e
(.f64 (.f64 v v) #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
(*.f64 e #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(*.f64 e #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))
(.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
(sin.f64 v)
v
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(cos.f64 v)
(neg.f64 e)
e
#s(literal 1 binary64)

Outputs
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
e
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e v) (+ 1 e)) (*.f64 e v))
(*.f64 e v)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 (.f64 e v) (*.f64 (-.f64 #s(literal 1 binary64) e) (fma.f64 e e #s(literal 1 binary64))))))
#s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v)))
#s(approx (/ (* e v) (+ 1 e)) (.f64 (.f64 e v) (*.f64 (-.f64 #s(literal 1 binary64) e) (fma.f64 e e #s(literal 1 binary64)))))
(.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v))
(.f64 (.f64 e v) (*.f64 (-.f64 #s(literal 1 binary64) e) (fma.f64 e e #s(literal 1 binary64))))
e
(fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)
(.f64 v (.f64 (-.f64 #s(literal 1 binary64) e) (fma.f64 e e #s(literal 1 binary64))))
(-.f64 (.f64 v (-.f64 e (.f64 e e))) v)
(*.f64 v (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
(.f64 v (-.f64 e (.f64 e e)))
(*.f64 v (fma.f64 e (neg.f64 e) e))
v
(-.f64 e (*.f64 e e))
(fma.f64 e (neg.f64 e) e)
(*.f64 e e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) e))))
#s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e)))
#s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) e)))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))
(.f64 v (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) e))
v
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (.f64 e #s(literal -1/6 binary64))) e)
(fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) e)
(*.f64 v v)
(fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64)))
(.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64))))
(.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))
(fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (*.f64 e #s(literal 1/120 binary64)))
(.f64 e (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
e
(.f64 (.f64 v v) #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
(*.f64 e #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
(*.f64 e #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v))))))
(.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(sin.f64 v)
v
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(cos.f64 v)
(neg.f64 e)
e
#s(literal 1 binary64)

localize183.0ms (2.3%)

Memory

-3.9MiB live, 393.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 v)
accuracy	0.0078125	(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)
accuracy	0.14453125	(.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
accuracy	0.2840718079974167	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))
accuracy	0.35546875	(*.f64 e #s(literal -1/6 binary64))
accuracy	1.033469701091627	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))))
accuracy	9.192279791139566	(fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (*.f64 e #s(literal 1/120 binary64)))
accuracy	33.45194523334935	#s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e)))
accuracy	0.00390625	(.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v))
accuracy	0.0234375	(.f64 v (-.f64 e (.f64 e e)))
accuracy	0.12472392930417973	#s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v)))
accuracy	33.41817653072462	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v))))
accuracy	0	(*.f64 e v)
accuracy	1.045179903557337	#s(approx (/ (* e v) (+ 1 e)) (*.f64 e v))
accuracy	33.41817653072462	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
accuracy	0	(sin.f64 v)
accuracy	0	(cos.f64 v)
accuracy	0.140625	(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
accuracy	0.1875	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))

Samples

116.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 307 to 44 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 50.0ms (55.2% of total)

const: 10.0ms (11% of total)

ival-add: 9.0ms (9.9% of total)

ival-div: 6.0ms (6.6% of total)

ival-cos: 6.0ms (6.6% of total)

ival-sin: 6.0ms (6.6% of total)

ival-sub: 2.0ms (2.2% of total)

ival-neg: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.6%)

Memory

4.7MiB live, 121.2MiB allocated

Counts

22 → 492

Calls

Call 1

Inputs
#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())
#s(alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e v))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e v) (+ 1 e)) (.f64 e v)) (patch #s(approx (/ ( e v) (+ 1 e)) (*.f64 e v)) #<representation binary64>) () ())
#s(alt (.f64 e v) (patch (.f64 e v) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) (patch (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) #<representation binary64>) () ())
#s(alt (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v) (patch (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v))) (patch #s(approx (/ ( e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v))) #<representation binary64>) () ())
#s(alt (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (.f64 e #s(literal -1/6 binary64))) (patch (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (.f64 e #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64))) (patch (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (.f64 e #s(literal -1/6 binary64))) e)))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e)))) #<representation binary64>) () ())
#s(alt #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (.f64 e #s(literal -1/6 binary64))) e))) (patch #s(approx ( e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) (patch (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e) (patch (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e) #<representation binary64>) () ())
#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())
#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())
#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) (taylor inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) (taylor inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin v)) (taylor 0 e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) (taylor 0 e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) (taylor 0 e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) (taylor 0 e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (/ (* e (cos v)) (sin v)) (taylor inf e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) (taylor inf e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) (taylor inf e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))) (taylor inf e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (/ (* e (cos v)) (sin v)) (taylor -inf e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 e) v) (taylor 0 v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v) (taylor 0 v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) (taylor 0 v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) (taylor 0 v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* e (cos v))) (sin v)) (taylor inf v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* e (cos v))) (sin v)) (taylor inf v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* e (cos v))) (sin v)) (taylor inf v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* e (cos v))) (sin v)) (taylor inf v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* e (cos v))) (sin v)) (taylor -inf v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
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#s(alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e))) (taylor -inf e) (#s(alt (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e) (patch (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (* v (- e (pow e 2))) (taylor 0 v) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* v (- e (pow e 2))) (taylor 0 v) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* v (- e (pow e 2))) (taylor 0 v) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* v (- e (pow e 2))) (taylor 0 v) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* v (- e (pow e 2))) (taylor inf v) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* v (- e (pow e 2))) (taylor inf v) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* v (- e (pow e 2))) (taylor inf v) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* v (- e (pow e 2))) (taylor inf v) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* v (- e (pow e 2))) (taylor -inf v) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* v (- e (pow e 2))) (taylor -inf v) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* v (- e (pow e 2))) (taylor -inf v) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* v (- e (pow e 2))) (taylor -inf v) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* e v) (taylor 0 e) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* e (+ v (* -1 (* e v)))) (taylor 0 e) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* e (+ v (* -1 (* e v)))) (taylor 0 e) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* e (+ v (* -1 (* e v)))) (taylor 0 e) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow e 2) v)) (taylor inf e) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 v) (/ v e))) (taylor inf e) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 v) (/ v e))) (taylor inf e) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 v) (/ v e))) (taylor inf e) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow e 2) v)) (taylor -inf e) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 v) (/ v e))) (taylor -inf e) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 v) (/ v e))) (taylor -inf e) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 v) (/ v e))) (taylor -inf e) (#s(alt (.f64 v (-.f64 e (.f64 e e))) (patch (.f64 v (-.f64 e (.f64 e e))) #<representation binary64>) () ())) ())
#s(alt (* e v) (taylor 0 e) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* e (+ v (* -1 (* e v)))) (taylor 0 e) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* e (+ v (* e (+ (* -1 v) (* e v))))) (taylor 0 e) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* e (+ v (* e (+ (* -1 v) (* e (+ v (* -1 (* e v)))))))) (taylor 0 e) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow e 4) v)) (taylor inf e) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* (pow e 4) (+ (* -1 v) (/ v e))) (taylor inf e) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* (pow e 4) (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (/ v e)))) (taylor inf e) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* (pow e 4) (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (+ (/ v e) (/ v (pow e 3)))))) (taylor inf e) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow e 4) v)) (taylor -inf e) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* (pow e 4) (+ (* -1 v) (/ v e))) (taylor -inf e) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* (pow e 4) (+ (* -1 v) (* -1 (/ (+ (* -1 v) (/ v e)) e)))) (taylor -inf e) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* (pow e 4) (+ (* -1 v) (* -1 (/ (+ (* -1 v) (* -1 (/ (+ (* -1 v) (/ v e)) e))) e)))) (taylor -inf e) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* e (* v (+ 1 (* e (- e (+ 1 (pow e 2))))))) (taylor 0 v) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* e (* v (+ 1 (* e (- e (+ 1 (pow e 2))))))) (taylor 0 v) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* e (* v (+ 1 (* e (- e (+ 1 (pow e 2))))))) (taylor 0 v) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* e (* v (+ 1 (* e (- e (+ 1 (pow e 2))))))) (taylor 0 v) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* e (* v (+ 1 (* e (- e (+ 1 (pow e 2))))))) (taylor inf v) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* e (* v (+ 1 (* e (- e (+ 1 (pow e 2))))))) (taylor inf v) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* e (* v (+ 1 (* e (- e (+ 1 (pow e 2))))))) (taylor inf v) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* e (* v (+ 1 (* e (- e (+ 1 (pow e 2))))))) (taylor inf v) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (* v (- (* e (+ 1 (* -1 (- e (pow e 2))))) 1)))) (taylor -inf v) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (* v (- (* e (+ 1 (* -1 (- e (pow e 2))))) 1)))) (taylor -inf v) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (* v (- (* e (+ 1 (* -1 (- e (pow e 2))))) 1)))) (taylor -inf v) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (* v (- (* e (+ 1 (* -1 (- e (pow e 2))))) 1)))) (taylor -inf v) (#s(alt (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) (patch (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor 0 e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor 0 e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor 0 e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor 0 e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor inf e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor inf e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor inf e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor inf e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor -inf e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor -inf e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor -inf e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor -inf e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())

Calls

123 calls:

Time	Variable		Point	Expression
6.0ms	e	@	0	(* (sin v) (* (+ (* (cos v) (neg e)) 1) e))
2.0ms	v	@	-inf	(+ (* e (- (* v (- e (* e e))) v)) v)
2.0ms	e	@	inf	(* (sin v) (* (+ (* (cos v) (neg e)) 1) e))
1.0ms	v	@	0	(* (sin v) (* (+ (* (cos v) (neg e)) 1) e))
1.0ms	e	@	0	(+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6))

simplify249.0ms (3.1%)

Memory

8.1MiB live, 481.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 344×	`lower-fma.f64`
10 344×	`lower-fma.f32`
6 954×	`lower-*.f64`
6 954×	`lower-*.f32`
2 530×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	438	6887
1	1465	6609
2	4622	6496
0	8141	6110

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 485

Calls

Call 1

Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ 1 (sin v))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(/ (* e (cos v)) (sin v))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(/ (* e (cos v)) (sin v))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(/ (+ 1 e) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
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(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(sin v)
(* e (+ 1 (* -1 e)))
(+ (* 1/2 (* (pow e 2) (pow v 2))) (* e (+ 1 (* -1 e))))
(+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2)))))
(+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2))))))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
e
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* -1 (* (pow e 2) (cos v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* -1 (* (pow e 2) (cos v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* v (- e (pow e 2)))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* -1 (* e v))))
(* e (+ v (* -1 (* e v))))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (+ (* -1 v) (* e v)))))
(* e (+ v (* e (+ (* -1 v) (* e (+ v (* -1 (* e v))))))))
(* -1 (* (pow e 4) v))
(* (pow e 4) (+ (* -1 v) (/ v e)))
(* (pow e 4) (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (/ v e))))
(* (pow e 4) (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (+ (/ v e) (/ v (pow e 3))))))
(* -1 (* (pow e 4) v))
(* (pow e 4) (+ (* -1 v) (/ v e)))
(* (pow e 4) (+ (* -1 v) (* -1 (/ (+ (* -1 v) (/ v e)) e))))
(* (pow e 4) (+ (* -1 v) (* -1 (/ (+ (* -1 v) (* -1 (/ (+ (* -1 v) (/ v e)) e))) e))))
(* e (* v (+ 1 (* e (- e (+ 1 (pow e 2)))))))
(* e (* v (+ 1 (* e (- e (+ 1 (pow e 2)))))))
(* e (* v (+ 1 (* e (- e (+ 1 (pow e 2)))))))
(* e (* v (+ 1 (* e (- e (+ 1 (pow e 2)))))))
(* e (* v (+ 1 (* e (- e (+ 1 (pow e 2)))))))
(* e (* v (+ 1 (* e (- e (+ 1 (pow e 2)))))))
(* e (* v (+ 1 (* e (- e (+ 1 (pow e 2)))))))
(* e (* v (+ 1 (* e (- e (+ 1 (pow e 2)))))))
(* -1 (* e (* v (- (* e (+ 1 (* -1 (- e (pow e 2))))) 1))))
(* -1 (* e (* v (- (* e (+ 1 (* -1 (- e (pow e 2))))) 1))))
(* -1 (* e (* v (- (* e (+ 1 (* -1 (- e (pow e 2))))) 1))))
(* -1 (* e (* v (- (* e (+ 1 (* -1 (- e (pow e 2))))) 1))))
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)

Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(.f64 e (fma.f64 e (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(.f64 e (fma.f64 e (fma.f64 (neg.f64 e) (.f64 (sin.f64 v) (-.f64 (.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (sin.f64 v)))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 (.f64 e e) (.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) e))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 (.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 (.f64 e e) #s(literal 1/2 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 e e) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64)))) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 (.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/5040 binary64)) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 (.f64 e e) #s(literal 1/2 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 e e) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64)))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 (.f64 e e) #s(literal 1/2 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/24 binary64))) (/.f64 (.f64 (.f64 e e) #s(literal -1/720 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 e (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 (.f64 e e) #s(literal 1/2 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 e e) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))))) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 (.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ 1 (sin v))
(/.f64 #s(literal 1 binary64) (sin.f64 v))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/ (* e (cos v)) (sin v))
(/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/ (* e (cos v)) (sin v))
(/.f64 (*.f64 e (cos.f64 v)) (sin.f64 v))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/ (+ 1 e) v)
(/.f64 (+.f64 e #s(literal 1 binary64)) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/.f64 (+.f64 e (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 (.f64 v v) (-.f64 (.f64 e #s(literal -1/720 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 #s(literal 1/120 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal -1/5040 binary64) #s(literal -1/5040 binary64))))) (fma.f64 (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64))))) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64))) v)
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
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(/ (+ 1 (* e (cos v))) (sin v))
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(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
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(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/ (+ 1 (* e (cos v))) (sin v))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
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(* e (cos v))
(*.f64 e (cos.f64 v))
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(* e (+ (cos v) (/ 1 e)))
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(* e (+ (cos v) (/ 1 e)))
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(* e (cos v))
(*.f64 e (cos.f64 v))
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(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
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(.f64 v (-.f64 e (.f64 e e)))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(.f64 v (.f64 e (fma.f64 (.f64 v v) (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(.f64 v (.f64 e (fma.f64 (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal 1/120 binary64))) (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 (fma.f64 (.f64 v v) (+.f64 #s(literal -1/5040 binary64) (.f64 e #s(literal 4/315 binary64))) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal 1/120 binary64)))) (.f64 v v) (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))))) (-.f64 e (.f64 e e))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(.f64 (cos.f64 v) (.f64 (*.f64 e (neg.f64 e)) (sin.f64 v)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(.f64 (cos.f64 v) (.f64 (*.f64 e (neg.f64 e)) (sin.f64 v)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(* e (+ 1 (* -1 e)))
(-.f64 e (*.f64 e e))
(+ (* 1/2 (* (pow e 2) (pow v 2))) (* e (+ 1 (* -1 e))))
(+.f64 e (.f64 (.f64 e e) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 v v)))))
(+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2)))))
(-.f64 (fma.f64 (.f64 v v) (.f64 (.f64 e e) (fma.f64 (.f64 v v) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) e) (*.f64 e e))
(+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2))))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 e (.f64 v v))) (fma.f64 #s(literal 1/720 binary64) (.f64 v v) #s(literal -1/24 binary64)) (.f64 (.f64 e e) #s(literal 1/2 binary64))) (-.f64 e (.f64 e e)))
(* e (+ 1 (* -1 (* e (cos v)))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* e (+ 1 (* -1 (* e (cos v)))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* e (+ 1 (* -1 (* e (cos v)))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* e (+ 1 (* -1 (* e (cos v)))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* e (+ 1 (* -1 (* e (cos v)))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* e (+ 1 (* -1 (* e (cos v)))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* e (+ 1 (* -1 (* e (cos v)))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* e (+ 1 (* -1 (* e (cos v)))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
e
(* e (+ 1 (* -1 (* e (cos v)))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* e (+ 1 (* -1 (* e (cos v)))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* e (+ 1 (* -1 (* e (cos v)))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* -1 (* (pow e 2) (cos v)))
(.f64 (cos.f64 v) (.f64 e (neg.f64 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* -1 (* (pow e 2) (cos v)))
(.f64 (cos.f64 v) (.f64 e (neg.f64 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* v (- e (pow e 2)))
(.f64 v (-.f64 e (.f64 e e)))
(* v (- e (pow e 2)))
(.f64 v (-.f64 e (.f64 e e)))
(* v (- e (pow e 2)))
(.f64 v (-.f64 e (.f64 e e)))
(* v (- e (pow e 2)))
(.f64 v (-.f64 e (.f64 e e)))
(* v (- e (pow e 2)))
(.f64 v (-.f64 e (.f64 e e)))
(* v (- e (pow e 2)))
(.f64 v (-.f64 e (.f64 e e)))
(* v (- e (pow e 2)))
(.f64 v (-.f64 e (.f64 e e)))
(* v (- e (pow e 2)))
(.f64 v (-.f64 e (.f64 e e)))
(* v (- e (pow e 2)))
(.f64 v (-.f64 e (.f64 e e)))
(* v (- e (pow e 2)))
(.f64 v (-.f64 e (.f64 e e)))
(* v (- e (pow e 2)))
(.f64 v (-.f64 e (.f64 e e)))
(* v (- e (pow e 2)))
(.f64 v (-.f64 e (.f64 e e)))
(* e v)
(*.f64 e v)
(* e (+ v (* -1 (* e v))))
(.f64 v (-.f64 e (.f64 e e)))
(* e (+ v (* -1 (* e v))))
(.f64 v (-.f64 e (.f64 e e)))
(* e (+ v (* -1 (* e v))))
(.f64 v (-.f64 e (.f64 e e)))
(* -1 (* (pow e 2) v))
(.f64 e (.f64 e (neg.f64 v)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(.f64 (.f64 e e) (-.f64 (/.f64 v e) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(.f64 (.f64 e e) (-.f64 (/.f64 v e) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(.f64 (.f64 e e) (-.f64 (/.f64 v e) v))
(* -1 (* (pow e 2) v))
(.f64 e (.f64 e (neg.f64 v)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(.f64 (.f64 e e) (-.f64 (/.f64 v e) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(.f64 (.f64 e e) (-.f64 (/.f64 v e) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(.f64 (.f64 e e) (-.f64 (/.f64 v e) v))
(* e v)
(*.f64 e v)
(* e (+ v (* -1 (* e v))))
(.f64 v (-.f64 e (.f64 e e)))
(* e (+ v (* e (+ (* -1 v) (* e v)))))
(.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))
(* e (+ v (* e (+ (* -1 v) (* e (+ v (* -1 (* e v))))))))
(.f64 e (fma.f64 v (.f64 e (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))
(* -1 (* (pow e 4) v))
(neg.f64 (*.f64 v (pow.f64 e #s(literal 4 binary64))))
(* (pow e 4) (+ (* -1 v) (/ v e)))
(*.f64 (-.f64 (/.f64 v e) v) (pow.f64 e #s(literal 4 binary64)))
(* (pow e 4) (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (/ v e))))
(*.f64 (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v) (pow.f64 e #s(literal 4 binary64)))
(* (pow e 4) (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (+ (/ v e) (/ v (pow e 3))))))
(.f64 (pow.f64 e #s(literal 4 binary64)) (+.f64 (/.f64 (-.f64 v (/.f64 v e)) e) (-.f64 (/.f64 v (.f64 e (*.f64 e e))) v)))
(* -1 (* (pow e 4) v))
(neg.f64 (*.f64 v (pow.f64 e #s(literal 4 binary64))))
(* (pow e 4) (+ (* -1 v) (/ v e)))
(*.f64 (-.f64 (/.f64 v e) v) (pow.f64 e #s(literal 4 binary64)))
(* (pow e 4) (+ (* -1 v) (* -1 (/ (+ (* -1 v) (/ v e)) e))))
(*.f64 (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v) (pow.f64 e #s(literal 4 binary64)))
(* (pow e 4) (+ (* -1 v) (* -1 (/ (+ (* -1 v) (* -1 (/ (+ (* -1 v) (/ v e)) e))) e))))
(*.f64 (pow.f64 e #s(literal 4 binary64)) (-.f64 (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e) v))
(* e (* v (+ 1 (* e (- e (+ 1 (pow e 2)))))))
(.f64 e (fma.f64 v (.f64 e (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))
(* e (* v (+ 1 (* e (- e (+ 1 (pow e 2)))))))
(.f64 e (fma.f64 v (.f64 e (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))
(* e (* v (+ 1 (* e (- e (+ 1 (pow e 2)))))))
(.f64 e (fma.f64 v (.f64 e (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))
(* e (* v (+ 1 (* e (- e (+ 1 (pow e 2)))))))
(.f64 e (fma.f64 v (.f64 e (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))
(* e (* v (+ 1 (* e (- e (+ 1 (pow e 2)))))))
(.f64 e (fma.f64 v (.f64 e (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))
(* e (* v (+ 1 (* e (- e (+ 1 (pow e 2)))))))
(.f64 e (fma.f64 v (.f64 e (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))
(* e (* v (+ 1 (* e (- e (+ 1 (pow e 2)))))))
(.f64 e (fma.f64 v (.f64 e (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))
(* e (* v (+ 1 (* e (- e (+ 1 (pow e 2)))))))
(.f64 e (fma.f64 v (.f64 e (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))
(* -1 (* e (* v (- (* e (+ 1 (* -1 (- e (pow e 2))))) 1))))
(*.f64 e (fma.f64 (neg.f64 v) (fma.f64 e (fma.f64 e e (neg.f64 e)) e) v))
(* -1 (* e (* v (- (* e (+ 1 (* -1 (- e (pow e 2))))) 1))))
(*.f64 e (fma.f64 (neg.f64 v) (fma.f64 e (fma.f64 e e (neg.f64 e)) e) v))
(* -1 (* e (* v (- (* e (+ 1 (* -1 (- e (pow e 2))))) 1))))
(*.f64 e (fma.f64 (neg.f64 v) (fma.f64 e (fma.f64 e e (neg.f64 e)) e) v))
(* -1 (* e (* v (- (* e (+ 1 (* -1 (- e (pow e 2))))) 1))))
(*.f64 e (fma.f64 (neg.f64 v) (fma.f64 e (fma.f64 e e (neg.f64 e)) e) v))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))

rewrite285.0ms (3.6%)

Memory

-3.9MiB live, 596.5MiB allocated

Rules

5 918×	`lower-fma.f32`
5 906×	`lower-fma.f64`
4 438×	`lower-/.f32`
4 434×	`lower-/.f64`
4 140×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	304
0	78	296
1	293	296
2	2157	293
0	8751	289

Stop Event

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

Counts

22 → 440

Calls

Call 1

Inputs
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e v) (+ 1 e)) (*.f64 e v))
(*.f64 e v)
(-.f64 (.f64 v (-.f64 e (.f64 e e))) v)
(fma.f64 e (-.f64 (.f64 v (-.f64 e (.f64 e e))) v) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v))))
#s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v)))
(fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64)))
(fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (*.f64 e #s(literal 1/120 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))
(.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
(sin.f64 v)
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)
(.f64 v (-.f64 e (.f64 e e)))
(.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v))
(*.f64 e #s(literal -1/6 binary64))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (.f64 (.f64 e (sin.f64 v)) #s(literal 1 binary64))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (neg.f64 e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))))
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (neg.f64 (neg.f64 e)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) (neg.f64 e))) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
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eval125.0ms (1.6%)

Memory: 0.9MiB live, 351.0MiB allocated
Compiler: Compiled 24 334 to 1 989 computations (91.8% saved)

prune179.0ms (2.2%)

Memory

20.9MiB live, 508.9MiB allocated

Pruning

36 alts after pruning (31 fresh and 5 done)

	Pruned	Kept	Total
New	938	12	950
Fresh	7	19	26
Picked	3	2	5
Done	0	3	3
Total	948	36	984

Accuracy

100.0%

Counts

984 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	47.1%	(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	47.2%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	48.5%	(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	98.0%	(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
	49.2%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
	49.2%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))
	47.7%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
	98.5%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
	98.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
	71.9%	(.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
	47.8%	(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
▶	99.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))))
	34.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 e e) (.f64 e e)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e (+.f64 e (.f64 (cos.f64 v) (.f64 e e))))) (.f64 (fma.f64 e (.f64 e e) (pow.f64 (.f64 (cos.f64 v) (.f64 e (neg.f64 e))) #s(literal 3 binary64))) (sin.f64 v)))))
	46.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
	38.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)) (.f64 (sin.f64 v) (neg.f64 (fma.f64 (cos.f64 v) (.f64 e e) e)))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (neg.f64 (fma.f64 (cos.f64 v) (.f64 e e) e))))))
✓	99.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
✓	99.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))
▶	98.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
✓	98.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
	46.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
	46.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
	2.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
	47.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e)))))
	47.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 v (.f64 e (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))))
▶	47.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))
	15.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e (*.f64 e e)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v))))))
	23.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e (*.f64 e e)) (-.f64 (/.f64 v e) v))))))
▶	24.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))))
✓	46.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
	70.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))))
	47.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 v (.f64 v (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) (-.f64 e (.f64 e e))))))
▶	46.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))))
	46.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (*.f64 e #s(literal -1/6 binary64))) e))))
	46.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))

Compiler

Compiled 1 242 to 632 computations (49.1% saved)

simplify207.0ms (2.6%)

Memory

-10.6MiB live, 388.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))
cost-diff	0	(sin.f64 v)
cost-diff	0	(.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e))))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
cost-diff	0	(fma.f64 (.f64 v v) #s(approx (+ ( v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e)
cost-diff	0	(.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))
cost-diff	0	#s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e)))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))))
cost-diff	0	#s(approx (+ (* e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v)))))
cost-diff	0	(.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))
cost-diff	0	#s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v)))))))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))))
cost-diff	0	(fma.f64 e #s(approx (- (* v (- e (* e e))) v) (neg.f64 v)) v)
cost-diff	0	(.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))
cost-diff	0	#s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v)))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))
cost-diff	0	(sin.f64 v)
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))))
cost-diff	128	(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
cost-diff	960	(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))

Rules

8 474×	`lower-fma.f32`
8 464×	`lower-fma.f64`
3 666×	`lower-*.f32`
3 642×	`lower-*.f64`
2 032×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	652
0	101	637
1	201	618
2	414	606
3	828	606
4	1323	598
5	2391	598
6	3515	598
7	5046	598
8	7269	598
0	8172	583

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
(sin.f64 v)
v
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
#s(literal 1 binary64)
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(cos.f64 v)
(*.f64 e (neg.f64 e))
e
(neg.f64 e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))
#s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v)))
(.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))
e
(fma.f64 e #s(approx (- (* v (- e (* e e))) v) (neg.f64 v)) v)
#s(approx (- (* v (- e (* e e))) v) (neg.f64 v))
(neg.f64 v)
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))))
#s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v)))))))
(.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))
e
#s(approx (+ (* e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v)))))
(neg.f64 (.f64 e (.f64 e (*.f64 e v))))
(.f64 e (.f64 e (*.f64 e v)))
(.f64 e (.f64 e v))
(*.f64 e v)
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))))
#s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e)))
(.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))
v
(fma.f64 (.f64 v v) #s(approx (+ ( v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e)
(*.f64 v v)
#s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
e
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 v #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
(.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e))))
(sin.f64 v)
v
#s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))
(-.f64 e (*.f64 e e))
e
(*.f64 e e)

Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(sin.f64 v)
v
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
(/.f64 #s(literal -1 binary64) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
#s(literal 1 binary64)
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(cos.f64 v)
(*.f64 e (neg.f64 e))
e
(neg.f64 e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))
#s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v)))
(.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))
e
(fma.f64 e #s(approx (- (* v (- e (* e e))) v) (neg.f64 v)) v)
#s(approx (- (* v (- e (* e e))) v) (neg.f64 v))
(neg.f64 v)
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 e (.f64 e (*.f64 v (neg.f64 e))))))))
#s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v)))))))
#s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 e (.f64 e (*.f64 v (neg.f64 e)))))))
(.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))
(.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 e (.f64 e (*.f64 v (neg.f64 e))))))
e
#s(approx (+ (* e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v)))))
#s(approx (+ (* e (- (* v (- e (* e e))) v)) v) (.f64 e (.f64 e (*.f64 v (neg.f64 e)))))
(neg.f64 (.f64 e (.f64 e (*.f64 e v))))
(.f64 e (.f64 e (*.f64 v (neg.f64 e))))
(.f64 e (.f64 e (*.f64 e v)))
(.f64 v (.f64 e (*.f64 e e)))
(.f64 e (.f64 e v))
(*.f64 e v)
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))))
#s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e)))
(.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))
v
(fma.f64 (.f64 v v) #s(approx (+ ( v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e)
(*.f64 v v)
#s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))
(.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
e
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(*.f64 v #s(literal -1/5040 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
(.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e))))
(sin.f64 v)
v
#s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))
(-.f64 e (*.f64 e e))
e
(*.f64 e e)

localize168.0ms (2.1%)

Memory

-15.8MiB live, 419.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 v)
accuracy	0.14453125	(.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e))))
accuracy	0.2840718079974167	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
accuracy	0.39487607996160057	#s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))
accuracy	0.0703125	(fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
accuracy	1.033469701091627	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))))
accuracy	3.706583749056003	(.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
accuracy	33.45194523334935	#s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e)))
accuracy	0.12472392930417973	#s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v)))))))
accuracy	0.140625	(.f64 e (.f64 e v))
accuracy	33.41817653072462	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))))
accuracy	61.87648561209953	#s(approx (+ (* e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v)))))
accuracy	0.00390625	(.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))
accuracy	0.12472392930417973	#s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v)))
accuracy	1.079250030975159	#s(approx (- (* v (- e (* e e))) v) (neg.f64 v))
accuracy	33.41817653072462	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))
accuracy	0	(cos.f64 v)
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
accuracy	0.21875	(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
accuracy	0.2840718079974167	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))))

Samples

106.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 366 to 53 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 35.0ms (43.7% of total)

ival-add: 10.0ms (12.5% of total)

const: 9.0ms (11.2% of total)

ival-cos: 7.0ms (8.7% of total)

ival-sin: 7.0ms (8.7% of total)

ival-div: 6.0ms (7.5% of total)

ival-neg: 3.0ms (3.7% of total)

ival-sub: 2.0ms (2.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.5%)

Memory

27.3MiB live, 105.3MiB allocated

Counts

24 → 540

Calls

Call 1

Inputs
#s(alt (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) (patch (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))) (patch #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))) #<representation binary64>) () ())
#s(alt (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v)) (patch (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v)) #<representation binary64>) () ())
#s(alt (fma.f64 e #s(approx (- (* v (- e (* e e))) v) (neg.f64 v)) v) (patch (fma.f64 e #s(approx (- (* v (- e (* e e))) v) (neg.f64 v)) v) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (.f64 e v)))))))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v)))))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (.f64 e v))))))) (patch #s(approx (/ ( e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))) #<representation binary64>) () ())
#s(alt (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (.f64 e v)))))) (patch (.f64 e #s(approx (+ (* e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (.f64 e v))))) (patch #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e)))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e)))) #<representation binary64>) () ())
#s(alt #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))) (patch #s(approx ( e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))) #<representation binary64>) () ())
#s(alt (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e)) (patch (.f64 v (fma.f64 (.f64 v v) #s(approx (+ ( v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 v v) #s(approx (+ ( v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e) (patch (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (.f64 e e))))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e))))) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (.f64 e e)))) (patch (.f64 (sin.f64 v) #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (.f64 e e))) (patch #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e))) #<representation binary64>) () ())
#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())
#s(alt #s(approx (- (* v (- e (* e e))) v) (neg.f64 v)) (patch #s(approx (- (* v (- e (* e e))) v) (neg.f64 v)) #<representation binary64>) () ())
#s(alt (.f64 e (.f64 e v)) (patch (.f64 e (.f64 e v)) #<representation binary64>) () ())
#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* v (+ e (* -1 (pow e 2)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) (patch (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) #<representation binary64>) () ())) ())
#s(alt (* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (* 1/2 (pow e 2))))))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) (patch (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) #<representation binary64>) () ())) ())
#s(alt (* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (* 1/120 (+ e (* -1 (pow e 2))))))))))))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) (patch (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) #<representation binary64>) () ())) ())
#s(alt (* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (+ (* 1/120 (+ e (* -1 (pow e 2)))) (* (pow v 2) (+ (* -1/5040 (+ e (* -1 (pow e 2)))) (+ (* 1/720 (pow e 2)) (+ (* 1/240 (pow e 2)) (* 1/144 (pow e 2)))))))))))))))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) (patch (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) #<representation binary64>) () ())) ())
#s(alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v))))) (taylor inf v) (#s(alt (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) (patch (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) #<representation binary64>) () ())) ())
#s(alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v))))) (taylor inf v) (#s(alt (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) (patch (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) #<representation binary64>) () ())) ())
#s(alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v))))) (taylor inf v) (#s(alt (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) (patch (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) #<representation binary64>) () ())) ())
#s(alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v))))) (taylor inf v) (#s(alt (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) (patch (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) #<representation binary64>) () ())) ())
#s(alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v))))) (taylor -inf v) (#s(alt (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) (patch (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) #<representation binary64>) () ())) ())
#s(alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v))))) (taylor -inf v) (#s(alt (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) (patch (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) #<representation binary64>) () ())) ())
#s(alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v))))) (taylor -inf v) (#s(alt (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) (patch (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) #<representation binary64>) () ())) ())
#s(alt (* (sin v) (+ e (* -1 (* (pow e 2) (cos v))))) (taylor -inf v) (#s(alt (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) (patch (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) (patch (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))) #<representation binary64>) () ())) ())
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#s(alt (* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)) (taylor inf e) (#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)) (taylor inf e) (#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)) (taylor inf e) (#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)) (taylor inf e) (#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)) (taylor -inf e) (#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)) (taylor -inf e) (#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)) (taylor -inf e) (#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)) (taylor -inf e) (#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor 0 v) (#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))) (taylor 0 v) (#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))) (taylor 0 v) (#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))) (taylor 0 v) (#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (* e (pow v 4))) (taylor inf v) (#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 4) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))) (taylor inf v) (#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))) (taylor inf v) (#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))) (taylor inf v) (#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (* e (pow v 4))) (taylor -inf v) (#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 4) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))) (taylor -inf v) (#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))) (taylor -inf v) (#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))) (taylor -inf v) (#s(alt (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (patch (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/120 (taylor 0 v) (#s(alt (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* -1/5040 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* -1/5040 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* -1/5040 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow v 2)) (taylor inf v) (#s(alt (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) (taylor inf v) (#s(alt (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) (taylor inf v) (#s(alt (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) (taylor inf v) (#s(alt (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow v 2)) (taylor -inf v) (#s(alt (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) (taylor -inf v) (#s(alt (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) (taylor -inf v) (#s(alt (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) (taylor -inf v) (#s(alt (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (patch (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())

Calls

135 calls:

Time	Variable		Point	Expression
2.0ms	v	@	inf	(* e (+ (* (* v v) (+ (* v (* v -1/5040)) 1/120)) -1/6))
1.0ms	v	@	0	(/ 1 (+ (* (cos v) (* e (neg e))) e))
1.0ms	e	@	0	(* e (+ (* (* v v) (+ (* v (* v -1/5040)) 1/120)) -1/6))
1.0ms	e	@	0	(* v (+ (* (* v v) (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6))) e))
1.0ms	e	@	-inf	(* v (+ (* (* v v) (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6))) e))

simplify261.0ms (3.3%)

Memory

-3.4MiB live, 549.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 172×	`lower-fma.f64`
10 172×	`lower-fma.f32`
6 898×	`lower-*.f64`
6 898×	`lower-*.f32`
2 586×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	483	8526
1	1579	8238
2	5130	8156
0	8241	7672

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 531

Calls

Call 1

Inputs
(* v (+ e (* -1 (pow e 2))))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (* 1/2 (pow e 2)))))))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (* 1/120 (+ e (* -1 (pow e 2)))))))))))))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (+ (* 1/120 (+ e (* -1 (pow e 2)))) (* (pow v 2) (+ (* -1/5040 (+ e (* -1 (pow e 2)))) (+ (* 1/720 (pow e 2)) (+ (* 1/240 (pow e 2)) (* 1/144 (pow e 2))))))))))))))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(/ 1 (+ e (* -1 (pow e 2))))
(+ (* -1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ e (* -1 (pow e 2))) 2))) (/ 1 (+ e (* -1 (pow e 2)))))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 4) (pow (+ e (* -1 (pow e 2))) 3))) (* -1/24 (/ (pow e 2) (pow (+ e (* -1 (pow e 2))) 2)))))) (* 1/2 (/ (pow e 2) (pow (+ e (* -1 (pow e 2))) 2))))) (/ 1 (+ e (* -1 (pow e 2)))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/2 (/ (* (pow e 2) (+ (* -1/4 (/ (pow e 4) (pow (+ e (* -1 (pow e 2))) 3))) (* -1/24 (/ (pow e 2) (pow (+ e (* -1 (pow e 2))) 2))))) (+ e (* -1 (pow e 2))))) (+ (* 1/720 (/ (pow e 2) (pow (+ e (* -1 (pow e 2))) 2))) (* 1/48 (/ (pow e 4) (pow (+ e (* -1 (pow e 2))) 3))))))) (+ (* -1/4 (/ (pow e 4) (pow (+ e (* -1 (pow e 2))) 3))) (* -1/24 (/ (pow e 2) (pow (+ e (* -1 (pow e 2))) 2)))))) (* 1/2 (/ (pow e 2) (pow (+ e (* -1 (pow e 2))) 2))))) (/ 1 (+ e (* -1 (pow e 2)))))
(/ 1 (+ e (* -1 (* (pow e 2) (cos v)))))
(/ 1 (+ e (* -1 (* (pow e 2) (cos v)))))
(/ 1 (+ e (* -1 (* (pow e 2) (cos v)))))
(/ 1 (+ e (* -1 (* (pow e 2) (cos v)))))
(/ 1 (+ e (* -1 (* (pow e 2) (cos v)))))
(/ 1 (+ e (* -1 (* (pow e 2) (cos v)))))
(/ 1 (+ e (* -1 (* (pow e 2) (cos v)))))
(/ 1 (+ e (* -1 (* (pow e 2) (cos v)))))
(/ 1 e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (- (* e (pow (cos v) 2)) (* -1 (cos v))))) e)
(/ (+ 1 (* e (- (* e (- (* e (pow (cos v) 3)) (* -1 (pow (cos v) 2)))) (* -1 (cos v))))) e)
(/ -1 (* (pow e 2) (cos v)))
(* -1 (/ (+ (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) (pow e 2)))
(/ (- (* -1 (/ (+ (/ 1 (* e (pow (cos v) 3))) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) (pow e 2))
(/ (- (* -1 (/ (+ (/ 1 (* e (pow (cos v) 4))) (/ 1 (pow (cos v) 3))) (pow e 2))) (+ (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))) (pow e 2))
(/ -1 (* (pow e 2) (cos v)))
(* -1 (/ (+ (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2)))) (pow e 2)))
(/ (- (* -1 (/ (+ (/ 1 (* e (pow (cos v) 3))) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v))) (pow e 2))
(/ (- (* -1 (/ (+ (/ 1 (* e (pow (cos v) 3))) (+ (/ 1 (* (pow e 2) (pow (cos v) 4))) (/ 1 (pow (cos v) 2)))) e)) (/ 1 (cos v))) (pow e 2))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
v
(* v (+ 1 (* -1/6 (pow v 2))))
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(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* v (+ e (* -1 (pow e 2))))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (* 1/2 (pow e 2)))))))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (* 1/120 (+ e (* -1 (pow e 2)))))))))))))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (+ (* 1/120 (+ e (* -1 (pow e 2)))) (* (pow v 2) (+ (* -1/5040 (+ e (* -1 (pow e 2)))) (+ (* 1/720 (pow e 2)) (+ (* 1/240 (pow e 2)) (* 1/144 (pow e 2))))))))))))))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(+ e (* -1 (pow e 2)))
(+ e (+ (* -1 (pow e 2)) (* 1/2 (* (pow e 2) (pow v 2)))))
(+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2))))))
(+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2)))))))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
(+ e (* -1 (* (pow e 2) (cos v))))
e
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* -1 (* e (cos v)))))
(* -1 (* (pow e 2) (cos v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* -1 (* (pow e 2) (cos v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(* v (- e (+ 1 (pow e 2))))
(* v (- e (+ 1 (pow e 2))))
(* v (- e (+ 1 (pow e 2))))
(* v (- e (+ 1 (pow e 2))))
(* v (- e (+ 1 (pow e 2))))
(* v (- e (+ 1 (pow e 2))))
(* v (- e (+ 1 (pow e 2))))
(* v (- e (+ 1 (pow e 2))))
(* -1 (* v (+ 1 (* -1 (- e (pow e 2))))))
(* -1 (* v (+ 1 (* -1 (- e (pow e 2))))))
(* -1 (* v (+ 1 (* -1 (- e (pow e 2))))))
(* -1 (* v (+ 1 (* -1 (- e (pow e 2))))))
(* -1 v)
(- (* e v) v)
(- (* e (+ v (* -1 (* e v)))) v)
(- (* e (+ v (* -1 (* e v)))) v)
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (/ v e))))
(* (pow e 2) (+ (* -1 v) (+ (* -1 (/ v (pow e 2))) (/ v e))))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (* -1 (/ (+ (* -1 v) (/ v e)) e))))
(* (pow e 2) (+ (* -1 v) (* -1 (/ (+ (* -1 v) (/ v e)) e))))
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* (pow e 2) v)
(* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* -1/6 e)
(+ (* -1/6 e) (* 1/120 (* e (pow v 2))))
(+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))
(+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))
(* -1/5040 (* e (pow v 4)))
(* (pow v 4) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(* -1/5040 (* e (pow v 4)))
(* (pow v 4) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
1/120
(+ 1/120 (* -1/5040 (pow v 2)))
(+ 1/120 (* -1/5040 (pow v 2)))
(+ 1/120 (* -1/5040 (pow v 2)))
(* -1/5040 (pow v 2))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* -1/5040 (pow v 2))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))

Outputs
(* v (+ e (* -1 (pow e 2))))
(.f64 e (-.f64 v (.f64 v e)))
(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (* 1/2 (pow e 2)))))))
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(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (* 1/120 (+ e (* -1 (pow e 2)))))))))))))
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(* v (+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/6 (+ e (* -1 (pow e 2)))) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/12 (pow e 2)) (+ (* -1/24 (pow e 2)) (+ (* 1/120 (+ e (* -1 (pow e 2)))) (* (pow v 2) (+ (* -1/5040 (+ e (* -1 (pow e 2)))) (+ (* 1/720 (pow e 2)) (+ (* 1/240 (pow e 2)) (* 1/144 (pow e 2))))))))))))))))
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(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* (sin v) (+ e (* -1 (* (pow e 2) (cos v)))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(.f64 (sin.f64 v) (.f64 (*.f64 e e) (neg.f64 (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(.f64 (sin.f64 v) (.f64 (*.f64 e e) (neg.f64 (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(/ 1 (+ e (* -1 (pow e 2))))
(/.f64 #s(literal 1 binary64) (-.f64 e (*.f64 e e)))
(+ (* -1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ e (* -1 (pow e 2))) 2))) (/ 1 (+ e (* -1 (pow e 2)))))
(fma.f64 (.f64 e e) (.f64 (/.f64 (.f64 v v) (.f64 (-.f64 e (.f64 e e)) (-.f64 e (.f64 e e)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 e (*.f64 e e))))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 4) (pow (+ e (* -1 (pow e 2))) 3))) (* -1/24 (/ (pow e 2) (pow (+ e (* -1 (pow e 2))) 2)))))) (* 1/2 (/ (pow e 2) (pow (+ e (* -1 (pow e 2))) 2))))) (/ 1 (+ e (* -1 (pow e 2)))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (/.f64 (.f64 (.f64 e e) (.f64 e e)) (.f64 (-.f64 e (.f64 e e)) (.f64 (-.f64 e (.f64 e e)) (-.f64 e (.f64 e e))))) #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 e e) (.f64 (-.f64 e (.f64 e e)) (-.f64 e (.f64 e e)))) #s(literal 1/24 binary64))) (/.f64 (.f64 (.f64 e e) #s(literal 1/2 binary64)) (.f64 (-.f64 e (.f64 e e)) (-.f64 (.f64 e e) e)))) (/.f64 #s(literal 1 binary64) (-.f64 e (*.f64 e e))))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/2 (/ (* (pow e 2) (+ (* -1/4 (/ (pow e 4) (pow (+ e (* -1 (pow e 2))) 3))) (* -1/24 (/ (pow e 2) (pow (+ e (* -1 (pow e 2))) 2))))) (+ e (* -1 (pow e 2))))) (+ (* 1/720 (/ (pow e 2) (pow (+ e (* -1 (pow e 2))) 2))) (* 1/48 (/ (pow e 4) (pow (+ e (* -1 (pow e 2))) 3))))))) (+ (* -1/4 (/ (pow e 4) (pow (+ e (* -1 (pow e 2))) 3))) (* -1/24 (/ (pow e 2) (pow (+ e (* -1 (pow e 2))) 2)))))) (* 1/2 (/ (pow e 2) (pow (+ e (* -1 (pow e 2))) 2))))) (/ 1 (+ e (* -1 (pow e 2)))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 (.f64 e e) (/.f64 #s(literal -1/24 binary64) (.f64 (-.f64 e (.f64 e e)) (-.f64 e (.f64 e e)))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 e e) (.f64 e e))) (.f64 (-.f64 e (.f64 e e)) (.f64 (-.f64 e (.f64 e e)) (-.f64 e (.f64 e e)))))) (/.f64 (.f64 e e) (-.f64 e (.f64 e e)))) (fma.f64 (.f64 e e) (/.f64 #s(literal 1/720 binary64) (.f64 (-.f64 e (.f64 e e)) (-.f64 e (.f64 e e)))) (/.f64 (.f64 (.f64 (.f64 e e) (.f64 e e)) #s(literal 1/48 binary64)) (.f64 (-.f64 e (.f64 e e)) (.f64 (-.f64 e (.f64 e e)) (-.f64 e (.f64 e e))))))) (.f64 v (neg.f64 v)) (fma.f64 (/.f64 (.f64 (.f64 e e) (.f64 e e)) (.f64 (-.f64 e (.f64 e e)) (.f64 (-.f64 e (.f64 e e)) (-.f64 e (.f64 e e))))) #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 e e) (.f64 (-.f64 e (.f64 e e)) (-.f64 e (.f64 e e)))) #s(literal 1/24 binary64)))) (/.f64 (.f64 (.f64 e e) #s(literal 1/2 binary64)) (.f64 (-.f64 e (.f64 e e)) (-.f64 (.f64 e e) e)))) (/.f64 #s(literal 1 binary64) (-.f64 e (*.f64 e e))))
(/ 1 (+ e (* -1 (* (pow e 2) (cos v)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (neg.f64 e) e))
(/ 1 (+ e (* -1 (* (pow e 2) (cos v)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (neg.f64 e) e))
(/ 1 (+ e (* -1 (* (pow e 2) (cos v)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (neg.f64 e) e))
(/ 1 (+ e (* -1 (* (pow e 2) (cos v)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (neg.f64 e) e))
(/ 1 (+ e (* -1 (* (pow e 2) (cos v)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (neg.f64 e) e))
(/ 1 (+ e (* -1 (* (pow e 2) (cos v)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (neg.f64 e) e))
(/ 1 (+ e (* -1 (* (pow e 2) (cos v)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (neg.f64 e) e))
(/ 1 (+ e (* -1 (* (pow e 2) (cos v)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 e (cos.f64 v)) (neg.f64 e) e))
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (- (* e (pow (cos v) 2)) (* -1 (cos v))))) e)
(/.f64 (fma.f64 e (fma.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (cos.f64 v)) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (- (* e (- (* e (pow (cos v) 3)) (* -1 (pow (cos v) 2)))) (* -1 (cos v))))) e)
(/.f64 (fma.f64 e (fma.f64 e (fma.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (cos.f64 v)) #s(literal 1 binary64)) e)
(/ -1 (* (pow e 2) (cos v)))
(/.f64 #s(literal -1 binary64) (.f64 e (.f64 e (cos.f64 v))))
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(.f64 e (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(.f64 e (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(+ (* -1/6 e) (* 1/120 (* e (pow v 2))))
(fma.f64 #s(literal 1/120 binary64) (.f64 v (.f64 v e)) (*.f64 e #s(literal -1/6 binary64)))
(+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))
(fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 v (.f64 v e)))) (*.f64 e #s(literal -1/6 binary64)))
(+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))
(fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 v (.f64 v e)))) (*.f64 e #s(literal -1/6 binary64)))
(* -1/5040 (* e (pow v 4)))
(.f64 v (.f64 v (.f64 #s(literal -1/5040 binary64) (.f64 v (*.f64 v e)))))
(* (pow v 4) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))
(.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 e (.f64 v v)) (.f64 e #s(literal -1/5040 binary64))) (.f64 (.f64 v v) (.f64 v v)))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 e (/.f64 #s(literal 1/120 binary64) (.f64 v v)) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (.f64 (.f64 v v) (.f64 v v))) (*.f64 e #s(literal -1/5040 binary64)))))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 e (/.f64 #s(literal 1/120 binary64) (.f64 v v)) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (.f64 (.f64 v v) (.f64 v v))) (*.f64 e #s(literal -1/5040 binary64)))))
(* -1/5040 (* e (pow v 4)))
(.f64 v (.f64 v (.f64 #s(literal -1/5040 binary64) (.f64 v (*.f64 v e)))))
(* (pow v 4) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))
(.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 e (.f64 v v)) (.f64 e #s(literal -1/5040 binary64))) (.f64 (.f64 v v) (.f64 v v)))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 e (/.f64 #s(literal 1/120 binary64) (.f64 v v)) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (.f64 (.f64 v v) (.f64 v v))) (*.f64 e #s(literal -1/5040 binary64)))))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(.f64 (.f64 (.f64 v v) (.f64 v v)) (fma.f64 e (/.f64 #s(literal 1/120 binary64) (.f64 v v)) (fma.f64 #s(literal -1/6 binary64) (/.f64 e (.f64 (.f64 v v) (.f64 v v))) (*.f64 e #s(literal -1/5040 binary64)))))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/5040 (pow v 2))
(.f64 (.f64 v v) #s(literal -1/5040 binary64))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(.f64 (.f64 v v) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(.f64 (.f64 v v) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(.f64 (.f64 v v) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))))
(* -1/5040 (pow v 2))
(.f64 (.f64 v v) #s(literal -1/5040 binary64))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(.f64 (.f64 v v) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(.f64 (.f64 v v) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(.f64 (.f64 v v) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v))))

rewrite288.0ms (3.6%)

Memory

3.7MiB live, 673.2MiB allocated

Rules

6 314×	`lower-fma.f32`
6 304×	`lower-fma.f64`
4 614×	`lower-*.f32`
4 590×	`lower-*.f64`
3 612×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	544
0	101	532
1	367	508
2	2501	508
0	8367	499

Stop Event

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

Counts

24 → 275

Calls

Call 1

Inputs
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))))
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))
#s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v)))
(.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))
(fma.f64 e #s(approx (- (* v (- e (* e e))) v) (neg.f64 v)) v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))))
#s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v)))))))
(.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))
#s(approx (+ (* e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))))
#s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e)))
(.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))
(fma.f64 (.f64 v v) #s(approx (+ ( v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
(.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e))))
#s(approx (+ (* (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))
(cos.f64 v)
#s(approx (- (* v (- e (* e e))) v) (neg.f64 v))
(.f64 e (.f64 e v))
(.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))

Outputs
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (neg.f64 (.f64 (.f64 e (cos.f64 v)) e))))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (neg.f64 (.f64 (.f64 e (cos.f64 v)) e)) (sin.f64 v)))
(+.f64 (.f64 (sin.f64 v) (neg.f64 (.f64 (.f64 e (cos.f64 v)) e))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 (neg.f64 (.f64 (.f64 e (cos.f64 v)) e)) (sin.f64 v)) (.f64 (sin.f64 v) e))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) e)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))) (.f64 #s(literal -1 binary64) (.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))))
(fma.f64 (sin.f64 v) e (.f64 (sin.f64 v) (neg.f64 (.f64 (*.f64 e (cos.f64 v)) e))))
(fma.f64 (sin.f64 v) e (.f64 (neg.f64 (.f64 (*.f64 e (cos.f64 v)) e)) (sin.f64 v)))
(fma.f64 (sin.f64 v) (neg.f64 (.f64 (.f64 e (cos.f64 v)) e)) (*.f64 (sin.f64 v) e))
(fma.f64 e (sin.f64 v) (.f64 (sin.f64 v) (neg.f64 (.f64 (*.f64 e (cos.f64 v)) e))))
(fma.f64 e (sin.f64 v) (.f64 (neg.f64 (.f64 (*.f64 e (cos.f64 v)) e)) (sin.f64 v)))
(fma.f64 (neg.f64 (.f64 (.f64 e (cos.f64 v)) e)) (sin.f64 v) (*.f64 (sin.f64 v) e))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) e))))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))))))
(/.f64 (.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) e)))
(/.f64 (.f64 (sin.f64 v) (fma.f64 e (.f64 e e) (neg.f64 (pow.f64 (.f64 (.f64 e (cos.f64 v)) e) #s(literal 3 binary64))))) (fma.f64 (.f64 e e) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))) (.f64 e (-.f64 e (neg.f64 (.f64 (.f64 e (cos.f64 v)) e))))))
(/.f64 (.f64 (sin.f64 v) (fma.f64 e (.f64 e e) (neg.f64 (pow.f64 (.f64 (.f64 e (cos.f64 v)) e) #s(literal 3 binary64))))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 e e) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))) (.f64 e (-.f64 e (neg.f64 (.f64 (*.f64 e (cos.f64 v)) e)))))))
(/.f64 (.f64 (sin.f64 v) (fma.f64 (.f64 e (.f64 e (.f64 e e))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e (neg.f64 e)))) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) (neg.f64 e)))
(/.f64 (.f64 (sin.f64 v) (fma.f64 (.f64 e (.f64 e (.f64 e e))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e (neg.f64 e)))) (.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) (neg.f64 e))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) e)))
(/.f64 (neg.f64 (.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (sin.f64 v) (fma.f64 e (.f64 e e) (neg.f64 (pow.f64 (.f64 (.f64 e (cos.f64 v)) e) #s(literal 3 binary64)))))) (neg.f64 (fma.f64 (.f64 e e) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))) (.f64 e (-.f64 e (neg.f64 (.f64 (.f64 e (cos.f64 v)) e)))))))
(/.f64 (neg.f64 (.f64 (sin.f64 v) (fma.f64 e (.f64 e e) (neg.f64 (pow.f64 (.f64 (.f64 e (cos.f64 v)) e) #s(literal 3 binary64)))))) (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 e e) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))) (.f64 e (-.f64 e (neg.f64 (.f64 (*.f64 e (cos.f64 v)) e))))))))
(/.f64 (neg.f64 (.f64 (sin.f64 v) (fma.f64 (.f64 e (.f64 e (.f64 e e))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e (neg.f64 e))))) (neg.f64 (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) (neg.f64 e))))
(/.f64 (neg.f64 (.f64 (sin.f64 v) (fma.f64 (.f64 e (.f64 e (.f64 e e))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e (neg.f64 e))))) (neg.f64 (.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) (neg.f64 e)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 v)))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) e)))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 v) e) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 v) (neg.f64 (.f64 (.f64 e (cos.f64 v)) e))) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) e) (-.f64 (.f64 (.f64 (sin.f64 v) (neg.f64 (.f64 (.f64 e (cos.f64 v)) e))) (.f64 (sin.f64 v) (neg.f64 (.f64 (.f64 e (cos.f64 v)) e)))) (.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (neg.f64 (.f64 (.f64 e (cos.f64 v)) e)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 v) e) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 (.f64 e (cos.f64 v)) e)) (sin.f64 v)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) e) (-.f64 (.f64 (.f64 (neg.f64 (.f64 (.f64 e (cos.f64 v)) e)) (sin.f64 v)) (.f64 (neg.f64 (.f64 (.f64 e (cos.f64 v)) e)) (sin.f64 v))) (.f64 (.f64 (sin.f64 v) e) (.f64 (neg.f64 (.f64 (.f64 e (cos.f64 v)) e)) (sin.f64 v))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 v) (neg.f64 (.f64 (.f64 e (cos.f64 v)) e))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 v) e) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 v) (neg.f64 (.f64 (.f64 e (cos.f64 v)) e))) (.f64 (sin.f64 v) (neg.f64 (.f64 (.f64 e (cos.f64 v)) e))) (-.f64 (.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) e)) (.f64 (.f64 (sin.f64 v) (neg.f64 (.f64 (.f64 e (cos.f64 v)) e))) (.f64 (sin.f64 v) e)))))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 (.f64 (.f64 e (cos.f64 v)) e)) (sin.f64 v)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 v) e) #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 (.f64 (.f64 e (cos.f64 v)) e)) (sin.f64 v)) (.f64 (neg.f64 (.f64 (.f64 e (cos.f64 v)) e)) (sin.f64 v)) (-.f64 (.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) e)) (.f64 (.f64 (neg.f64 (.f64 (.f64 e (cos.f64 v)) e)) (sin.f64 v)) (.f64 (sin.f64 v) e)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))
(.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) e)))
(.f64 (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e) (sin.f64 v))
(.f64 (.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) e)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))))
(.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))))
(.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (neg.f64 (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e)))
(.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))))
(.f64 (/.f64 (sin.f64 v) (pow.f64 (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) e) #s(literal -1/2 binary64))))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 v v) (.f64 (.f64 e (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 e (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) (fma.f64 v (.f64 e (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 #s(literal 1/6 binary64) e))) (.f64 (fma.f64 v (.f64 e (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 #s(literal 1/6 binary64) e)) (.f64 (.f64 e e) #s(literal 1/36 binary64)))) (.f64 (fma.f64 v (.f64 e (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 #s(literal 1/6 binary64) e)) (fma.f64 v (.f64 e (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 #s(literal 1/6 binary64) e))))
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(/.f64 (neg.f64 (-.f64 (.f64 (.f64 e e) #s(literal 1/36 binary64)) (.f64 (.f64 v v) (.f64 (.f64 e (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 e (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))))) (neg.f64 (-.f64 (.f64 e #s(literal -1/6 binary64)) (.f64 e (.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))))))
(/.f64 (neg.f64 (.f64 e (fma.f64 (.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 (.f64 v v) (.f64 (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))))))
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(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 (.f64 v v) (.f64 (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/216 binary64)) e)) (neg.f64 (-.f64 (fma.f64 (.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))))))
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(pow.f64 (/.f64 (fma.f64 v (.f64 (.f64 e (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 e (.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) (.f64 (.f64 e #s(literal -1/6 binary64)) (-.f64 (.f64 e #s(literal -1/6 binary64)) (.f64 e (.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))))) (fma.f64 (.f64 e (.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) (.f64 (.f64 v v) (.f64 (.f64 e (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 e (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) (.f64 #s(literal -1/216 binary64) (.f64 e (*.f64 e e))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 v (.f64 e (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 #s(literal 1/6 binary64) e)) (.f64 (.f64 e (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (fma.f64 v (.f64 e (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 #s(literal 1/6 binary64) e)))) #s(literal -1 binary64))
(.f64 e (fma.f64 v (.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(.f64 (fma.f64 v (.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) e)
(.f64 (fma.f64 (.f64 e (.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) (.f64 (.f64 v v) (.f64 (.f64 e (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 e (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) (.f64 #s(literal -1/216 binary64) (.f64 e (.f64 e e)))) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 (.f64 e (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 e (.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) (.f64 (.f64 e #s(literal -1/6 binary64)) (-.f64 (.f64 e #s(literal -1/6 binary64)) (.f64 e (.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))))))))
(.f64 (.f64 (.f64 e (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (fma.f64 v (.f64 e (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 #s(literal 1/6 binary64) e))) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 e (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 #s(literal 1/6 binary64) e))))
(+.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) #s(literal -1/5040 binary64)))
(+.f64 (.f64 (.f64 v v) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) #s(literal -1/5040 binary64)))) (/.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64)) (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) #s(literal -1/5040 binary64)))))
(fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))
(fma.f64 (*.f64 v #s(literal -1/5040 binary64)) v #s(literal 1/120 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 v v) #s(literal -1/604800 binary64)))) (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 v v) #s(literal -1/604800 binary64)))) (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))))
(/.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 v v) #s(literal -1/604800 binary64)))))
(/.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64)) (.f64 (*.f64 v v) #s(literal -1/604800 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 v v) #s(literal -1/604800 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64)) (.f64 (*.f64 v v) #s(literal -1/604800 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) #s(literal -1/5040 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (.f64 (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (.f64 (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 v v) #s(literal -1/604800 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64)))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) #s(literal -1/5040 binary64)))))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 v v) #s(literal -1/604800 binary64)))) (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (*.f64 v v) #s(literal -1/604800 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))

eval136.0ms (1.7%)

Memory: 25.7MiB live, 341.1MiB allocated
Compiler: Compiled 22 155 to 1 316 computations (94.1% saved)

prune201.0ms (2.5%)

Memory

-27.4MiB live, 457.8MiB allocated

Pruning

42 alts after pruning (33 fresh and 9 done)

	Pruned	Kept	Total
New	817	9	826
Fresh	2	24	26
Picked	1	4	5
Done	0	5	5
Total	820	42	862

Accuracy

100.0%

Counts

862 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	47.1%	(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	47.2%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	48.5%	(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	98.0%	(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
	49.2%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
	49.2%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))
	47.7%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
	98.5%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
	98.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
	71.9%	(.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
	47.8%	(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
	98.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (pow.f64 (pow.f64 (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) e) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
	98.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (/ 1 (+ (* (cos v) (* e (neg e))) e)) (/.f64 #s(literal 1 binary64) (-.f64 e (*.f64 e e))))))
	98.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (/ 1 (+ (* (cos v) (* e (neg e))) e)) (/.f64 #s(literal 1 binary64) e))))
	46.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
	98.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (sin.f64 v) (pow.f64 (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) e) #s(literal -1/2 binary64)))))
	38.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)) (.f64 (sin.f64 v) (neg.f64 (fma.f64 (cos.f64 v) (.f64 e e) e)))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (neg.f64 (fma.f64 (cos.f64 v) (.f64 e e) e))))))
✓	99.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
✓	99.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))
✓	98.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
✓	98.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
	46.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
	46.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
	2.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
	24.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 v (*.f64 e e))))) e)))
	47.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e)))))
	47.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 v (.f64 e (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))))
✓	47.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))
	15.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e (*.f64 e e)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v))))))
	23.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e (*.f64 e e)) (-.f64 (/.f64 v e) v))))))
	23.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e e) (*.f64 e (-.f64 (/.f64 v e) v)))))))
✓	24.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))))
✓	46.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
	15.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ (* e (- (* v (- e (* e e))) v)) v)) (.f64 (.f64 (.f64 e e) (.f64 e e)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v)))))
	24.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ (* e (- (* v (- e (* e e))) v)) v)) (.f64 v (neg.f64 (.f64 (.f64 e e) (.f64 e e)))))))
	70.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (sin v) (/ 1 (+ (* (cos v) (* e (neg e))) e))) (.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))))
	47.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 v (.f64 v (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) (-.f64 e (.f64 e e))))))
✓	46.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))))
	46.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (*.f64 e #s(literal -1/6 binary64))) e))))
	46.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))

Compiler

Compiled 1 774 to 592 computations (66.6% saved)

regimes60.0ms (0.8%)

Memory

16.0MiB live, 171.5MiB allocated

Counts

63 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (*.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ (* e (- (* v (- e (* e e))) v)) v)) (.f64 v (neg.f64 (.f64 (.f64 e e) (.f64 e e)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 v (*.f64 e e))))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 v (.f64 e (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e e) (*.f64 e (-.f64 (/.f64 v e) v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e (*.f64 e e)) (-.f64 (/.f64 v e) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 v (.f64 v (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) (-.f64 e (.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ (* e (- (* v (- e (* e e))) v)) v)) (.f64 (.f64 (.f64 e e) (.f64 e e)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e (*.f64 e e)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v))))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (/ 1 (+ (* (cos v) (* e (neg e))) e)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (/ 1 (+ (* (cos v) (* e (neg e))) e)) (/.f64 #s(literal 1 binary64) (-.f64 e (*.f64 e e))))))
(.f64 (/.f64 (sin.f64 v) (fma.f64 e #s(approx (cos v) (fma.f64 (.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 v)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (sin v) (/ 1 (+ (* (cos v) (* e (neg e))) e))) (.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (.f64 (fma.f64 (.f64 e (neg.f64 e)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64)) (.f64 e (neg.f64 e))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) (.f64 e e) e)))))
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (pow.f64 (pow.f64 (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) e) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (sin.f64 v) (pow.f64 (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 e) (*.f64 e (cos.f64 v)) e) #s(literal -1/2 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 e e) (.f64 e e)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e (+.f64 e (.f64 (cos.f64 v) (.f64 e e))))) (.f64 (fma.f64 e (.f64 e e) (pow.f64 (.f64 (cos.f64 v) (.f64 e (neg.f64 e))) #s(literal 3 binary64))) (sin.f64 v)))))
(.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)) (.f64 (sin.f64 v) (neg.f64 (fma.f64 (cos.f64 v) (.f64 e e) e)))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (neg.f64 (fma.f64 (cos.f64 v) (.f64 e e) e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (.f64 e (neg.f64 e)))) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 v) e) (-.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (.f64 (cos.f64 v) (.f64 e (neg.f64 e))))))) (+.f64 (pow.f64 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (.f64 e (neg.f64 e)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal 3 binary64))))))

Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)

Calls

3 calls:

21.0ms	e
18.0ms	v
17.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
99.8%	1	`e`
99.8%	1	`v`
99.8%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes49.0ms (0.6%)

Memory

12.2MiB live, 131.2MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (*.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ (* e (- (* v (- e (* e e))) v)) v)) (.f64 v (neg.f64 (.f64 (.f64 e e) (.f64 e e)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 v (*.f64 e e))))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 v (.f64 e (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e e) (*.f64 e (-.f64 (/.f64 v e) v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e (*.f64 e e)) (-.f64 (/.f64 v e) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 v (.f64 v (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) (-.f64 e (.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ (* e (- (* v (- e (* e e))) v)) v)) (.f64 (.f64 (.f64 e e) (.f64 e e)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e (*.f64 e e)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v))))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (/ 1 (+ (* (cos v) (* e (neg e))) e)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (/ 1 (+ (* (cos v) (* e (neg e))) e)) (/.f64 #s(literal 1 binary64) (-.f64 e (*.f64 e e))))))
(.f64 (/.f64 (sin.f64 v) (fma.f64 e #s(approx (cos v) (fma.f64 (.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 v)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))

Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))

Calls

3 calls:

16.0ms	e
15.0ms	v
15.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
99.3%	1	`e`
99.3%	1	`v`
99.3%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes43.0ms (0.5%)

Memory

14.2MiB live, 127.8MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (*.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ (* e (- (* v (- e (* e e))) v)) v)) (.f64 v (neg.f64 (.f64 (.f64 e e) (.f64 e e)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 v (*.f64 e e))))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 v (.f64 e (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e e) (*.f64 e (-.f64 (/.f64 v e) v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e (*.f64 e e)) (-.f64 (/.f64 v e) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 v (.f64 v (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) (-.f64 e (.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ (* e (- (* v (- e (* e e))) v)) v)) (.f64 (.f64 (.f64 e e) (.f64 e e)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e (*.f64 e e)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v))))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (/ 1 (+ (* (cos v) (* e (neg e))) e)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (/ 1 (+ (* (cos v) (* e (neg e))) e)) (/.f64 #s(literal 1 binary64) (-.f64 e (*.f64 e e))))))
(.f64 (/.f64 (sin.f64 v) (fma.f64 e #s(approx (cos v) (fma.f64 (.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 v)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (.f64 v (fma.f64 v (.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))

Outputs
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))

Calls

3 calls:

14.0ms	v
13.0ms	e
13.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
99.2%	1	`e`
99.2%	1	`v`
99.2%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes38.0ms (0.5%)

Memory

-8.4MiB live, 113.9MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (*.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ (* e (- (* v (- e (* e e))) v)) v)) (.f64 v (neg.f64 (.f64 (.f64 e e) (.f64 e e)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 v (*.f64 e e))))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 v (.f64 e (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e e) (*.f64 e (-.f64 (/.f64 v e) v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e (*.f64 e e)) (-.f64 (/.f64 v e) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 v (.f64 v (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) (-.f64 e (.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ (* e (- (* v (- e (* e e))) v)) v)) (.f64 (.f64 (.f64 e e) (.f64 e e)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e (*.f64 e e)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v))))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))

Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))

Calls

3 calls:

11.0ms	e
11.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
10.0ms	v

Results

Accuracy	Segments	Branch
98.9%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
98.9%	1	`e`
98.9%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes39.0ms (0.5%)

Memory

-22.9MiB live, 100.4MiB allocated

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (*.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ (* e (- (* v (- e (* e e))) v)) v)) (.f64 v (neg.f64 (.f64 (.f64 e e) (.f64 e e)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 v (*.f64 e e))))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 v (.f64 e (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e e) (*.f64 e (-.f64 (/.f64 v e) v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e (*.f64 e e)) (-.f64 (/.f64 v e) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 v (.f64 v (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) (-.f64 e (.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ (* e (- (* v (- e (* e e))) v)) v)) (.f64 (.f64 (.f64 e e) (.f64 e e)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e (*.f64 e e)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v))))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))

Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))

Calls

3 calls:

16.0ms	v
11.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
11.0ms	e

Results

Accuracy	Segments	Branch
98.2%	1	`e`
98.2%	1	`v`
98.2%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes32.0ms (0.4%)

Memory

29.6MiB live, 106.9MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (*.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ (* e (- (* v (- e (* e e))) v)) v)) (.f64 v (neg.f64 (.f64 (.f64 e e) (.f64 e e)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 v (*.f64 e e))))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 v (.f64 e (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e e) (*.f64 e (-.f64 (/.f64 v e) v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e (*.f64 e e)) (-.f64 (/.f64 v e) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 v (.f64 v (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) (-.f64 e (.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ (* e (- (* v (- e (* e e))) v)) v)) (.f64 (.f64 (.f64 e e) (.f64 e e)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e (*.f64 e e)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v))))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))

Outputs

(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))

Calls

3 calls:

11.0ms	v
10.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
9.0ms	e

Results

Accuracy	Segments	Branch
49.2%	1	`e`
49.2%	1	`v`
49.2%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes36.0ms (0.4%)

Memory

-16.3MiB live, 101.5MiB allocated

Counts

31 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (*.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ (* e (- (* v (- e (* e e))) v)) v)) (.f64 v (neg.f64 (.f64 (.f64 e e) (.f64 e e)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 v (*.f64 e e))))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 v (.f64 e (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e e) (*.f64 e (-.f64 (/.f64 v e) v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e (*.f64 e e)) (-.f64 (/.f64 v e) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 v (.f64 v (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) (-.f64 e (.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ (* e (- (* v (- e (* e e))) v)) v)) (.f64 (.f64 (.f64 e e) (.f64 e e)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e (*.f64 e e)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v))))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)) (.f64 e #s(literal 1/120 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))

Outputs

(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))

Calls

3 calls:

10.0ms	e
10.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
9.0ms	v

Results

Accuracy	Segments	Branch
49.2%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
49.2%	1	`e`
49.2%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes30.0ms (0.4%)

Memory

-8.1MiB live, 71.1MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (*.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ (* e (- (* v (- e (* e e))) v)) v)) (.f64 v (neg.f64 (.f64 (.f64 e e) (.f64 e e)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 v (*.f64 e e))))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 v (.f64 e (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e e) (*.f64 e (-.f64 (/.f64 v e) v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e (*.f64 e e)) (-.f64 (/.f64 v e) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 v (.f64 v (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) (-.f64 e (.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ (* e (- (* v (- e (* e e))) v)) v)) (.f64 (.f64 (.f64 e e) (.f64 e e)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (.f64 (.f64 e (*.f64 e e)) (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v))))))

Outputs
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))

Calls

3 calls:

11.0ms	e
9.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
8.0ms	v

Results

Accuracy	Segments	Branch
48.5%	1	`e`
48.5%	1	`v`
48.5%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes19.0ms (0.2%)

Memory

13.9MiB live, 52.6MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* v (* v (+ (* e (* (* v v) -1/5040)) (* e 1/120)))) (* e -1/6)) (*.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* e (+ (* e (- (* v (- e (* e e))) v)) v)) (.f64 v (neg.f64 (.f64 (.f64 e e) (.f64 e e)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 e (*.f64 e v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 #s(approx (+ ( e (- (* v (- e (* e e))) v)) v) (neg.f64 (.f64 e (.f64 v (*.f64 e e))))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 v (.f64 e (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e (-.f64 (.f64 v (-.f64 e (*.f64 e e))) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))

Outputs
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)

Calls

3 calls:

6.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
6.0ms	e
6.0ms	v

Results

Accuracy	Segments	Branch
47.8%	1	`v`
47.8%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
47.8%	1	`e`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes9.0ms (0.1%)

Memory

-14.1MiB live, 24.9MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))

Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))

Calls

3 calls:

3.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
2.0ms	v
2.0ms	e

Results

Accuracy	Segments	Branch
47.8%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
47.8%	1	`e`
47.8%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes7.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))

Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))

Calls

3 calls:

2.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
2.0ms	v
2.0ms	e

Results

Accuracy	Segments	Branch
47.6%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
47.6%	1	`e`
47.6%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0.1%)

Memory

-23.9MiB live, 15.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))

Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))

Calls

3 calls:

2.0ms	e
1.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
1.0ms	v

Results

Accuracy	Segments	Branch
46.9%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
46.9%	1	`e`
46.9%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify9.0ms (0.1%)

Memory

25.9MiB live, 25.9MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
10×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	291
1	106	291
2	114	291
3	118	291
4	119	291

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))

Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (+.f64 e #s(literal 1 binary64))) v)))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(approx (* e (sin v)) (.f64 v e)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
(.f64 e #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (fma.f64 e #s(approx (- ( v (- e (* e e))) v) (neg.f64 v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v e)))

soundness1.0s (13.1%)

Memory

13.1MiB live, 1 077.8MiB allocated

Rules

14 120×	`lower-fma.f64`
14 120×	`lower-fma.f32`
12 918×	`lower-fma.f64`
12 918×	`lower-fma.f32`
10 344×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	1209
1	584	1194
2	1652	1162
3	4907	1089
0	8039	1013
0	438	6887
1	1465	6609
2	4622	6496
0	8141	6110
0	385	5713
1	1247	5507
2	3801	5452
0	8921	5145
0	31	169
0	52	164
1	186	164
2	1199	164
0	8264	164
0	9	29
0	15	29
1	42	29
2	241	29
3	2097	29
0	8370	27

Stop Event

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

Compiler

Compiled 418 to 188 computations (55% saved)

preprocess107.0ms (1.3%)

Memory: -8.1MiB live, 301.1MiB allocated
Remove: (negabs v)
Compiler: Compiled 546 to 254 computations (53.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze7.0ms (0.1%)

sample1.2s (14.7%)

explain121.0ms (1.5%)

preprocess72.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize37.0ms (0.5%)

series16.0ms (0.2%)

simplify540.0ms (6.8%)

rewrite362.0ms (4.5%)

eval65.0ms (0.8%)

prune83.0ms (1%)

simplify222.0ms (2.8%)

localize126.0ms (1.6%)

series36.0ms (0.4%)

simplify310.0ms (3.9%)

rewrite281.0ms (3.5%)

eval137.0ms (1.7%)

prune223.0ms (2.8%)

simplify260.0ms (3.3%)

localize183.0ms (2.3%)

series47.0ms (0.6%)

simplify249.0ms (3.1%)

rewrite285.0ms (3.6%)

eval125.0ms (1.6%)

prune179.0ms (2.2%)

simplify207.0ms (2.6%)

localize168.0ms (2.1%)

series40.0ms (0.5%)

simplify261.0ms (3.3%)

rewrite288.0ms (3.6%)

eval136.0ms (1.7%)

prune201.0ms (2.5%)

regimes60.0ms (0.8%)

regimes49.0ms (0.6%)

regimes43.0ms (0.5%)

regimes38.0ms (0.5%)

regimes39.0ms (0.5%)

regimes32.0ms (0.4%)

regimes36.0ms (0.4%)

regimes30.0ms (0.4%)

regimes19.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.0s (13.1%)

preprocess107.0ms (1.3%)

end0.0ms (0%)

Profiling