Metrics for Trigonometry A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze7.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB 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)

sample1.4s (15.9%)

Memory

-184.8MiB live, 2 045.8MiB allocated

Samples

825.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 649.0ms

ival-sin: 201.0ms (31% of total)

ival-cos: 176.0ms (27.1% of total)

ival-mult: 112.0ms (17.3% of total)

ival-div: 50.0ms (7.7% of total)

ival-<=: 46.0ms (7.1% of total)

ival-add: 40.0ms (6.2% of total)

exact: 12.0ms (1.8% of total)

ival-and: 11.0ms (1.7% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain149.0ms (1.7%)

Memory

6.8MiB live, 210.3MiB 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

62.0ms

512×

valid

Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-cos: 12.0ms (33.6% of total)

ival-sin: 11.0ms (30.8% of total)

ival-mult: 6.0ms (16.8% of total)

ival-div: 3.0ms (8.4% of total)

ival-add: 2.0ms (5.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess71.0ms (0.8%)

Memory

12.0MiB live, 50.5MiB 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

1.6MiB live, 1.6MiB 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%)

Memory

8.8MiB live, 8.8MiB 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)

localize38.0ms (0.4%)

Memory

2.2MiB live, 79.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 v)
accuracy	0.01171875	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
accuracy	0.10546875	(*.f64 e (cos.f64 v))
accuracy	0.12890625	(*.f64 e (sin.f64 v))

Samples

26.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sin: 6.0ms (32% of total)

ival-cos: 5.0ms (26.7% of total)

ival-mult: 5.0ms (26.7% of total)

ival-div: 1.0ms (5.3% of total)

ival-add: 1.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Memory

-15.1MiB live, 25.0MiB 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
7.0ms	e	@	-inf	(/ (* e (sin v)) (+ 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))))
1.0ms	e	@	0	(* e (sin v))

simplify280.0ms (3.1%)

Memory

18.6MiB live, 561.5MiB 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)

rewrite287.0ms (3.2%)

Memory

19.3MiB live, 569.0MiB 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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(pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1 binary64))
(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))
(pow.f64 (.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (.f64 e (sin.f64 v))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))) #s(literal -1 binary64))
(.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))
(.f64 (.f64 (sin.f64 v) (neg.f64 e)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.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)))
(.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 (/.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 e (sin.f64 v))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (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 e (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))))
(.f64 (/.f64 #s(literal 1 binary64) (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)))) (*.f64 e (sin.f64 v))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (.f64 (sin.f64 v) (.f64 e (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))))) #s(literal -1 binary64)))
(.f64 (/.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 (.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))

eval59.0ms (0.7%)

Memory: 7.3MiB live, 159.8MiB allocated
Compiler: Compiled 13 630 to 1 268 computations (90.7% saved)

prune93.0ms (1%)

Memory

-28.0MiB live, 222.3MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	454	11	465
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	455	11	466

Accuracy

99.9%

Counts

466 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.8%	(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))
	99.8%	(/.f64 (.f64 (sin.f64 v) (.f64 e (-.f64 #s(literal 1 binary64) (.f64 e (cos.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)))
	98.9%	(/.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)))
▶	98.1%	(/.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)
▶	48.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
▶	99.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
	48.1%	#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)))))
▶	97.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))

Compiler

Compiled 336 to 206 computations (38.7% saved)

simplify395.0ms (4.4%)

Memory

13.7MiB live, 354.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
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)) (*.f64 e (sin.f64 v)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
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	(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

12 712×	`lower-fma.f32`
12 708×	`lower-fma.f64`
2 800×	`lower-/.f32`
2 792×	`lower-/.f64`
2 664×	`lower-*.f32`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	27	181
0	44	176
1	77	176
2	126	176
3	264	176
4	520	176
5	686	176
6	901	176
7	1212	176
8	1609	176
9	2687	170
10	3973	170
11	4737	170
12	5100	170
13	5291	170
14	5345	170
15	5365	170
16	6011	170
17	6739	170
18	7174	170
19	7299	170
20	7332	170
21	7350	170
22	7370	170
23	7522	170
24	7526	170
25	7526	170
0	8872	170

Stop Event

1×	iter limit
1×	node limit
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
#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)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
#s(literal 1 binary64)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
e
(cos.f64 v)
v
(*.f64 e (sin.f64 v))
(sin.f64 v)

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

localize122.0ms (1.4%)

Memory

11.6MiB live, 247.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 v)
accuracy	0.12890625	(*.f64 e (sin.f64 v))
accuracy	0.16796875	(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
accuracy	1.1830947793770206	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
accuracy	0	(neg.f64 e)
accuracy	0	(cos.f64 v)
accuracy	0.12890625	(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
accuracy	0.5237068028284595	#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	(sin.f64 v)
accuracy	0.12890625	(*.f64 e (sin.f64 v))
accuracy	1.20835303895411	#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	0.01953125	(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
accuracy	33.04416022007948	#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	0.13671875	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)

Samples

57.0ms

256×

valid

Compiler

Compiled 166 to 24 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 10.0ms (27.3% of total)

ival-div: 7.0ms (19.1% of total)

ival-cos: 7.0ms (19.1% of total)

ival-sin: 6.0ms (16.4% of total)

ival-add: 5.0ms (13.7% of total)

ival-neg: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory

-1.4MiB live, 72.8MiB allocated

Counts

17 → 360

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

90 calls:

Time	Variable		Point	Expression
7.0ms	v	@	-inf	(* (sin v) (+ (* (cos v) (* e (neg e))) e))
1.0ms	v	@	0	(* (/ (sin v) (+ (* e (cos v)) 1)) e)
1.0ms	v	@	0	(/ (sin v) (+ (* e (cos v)) 1))
1.0ms	v	@	inf	(* (sin v) (+ (* (cos v) (* e (neg e))) e))
1.0ms	v	@	0	(* (sin v) (+ (* (cos v) (* e (neg e))) e))

simplify309.0ms (3.5%)

Memory

6.0MiB live, 571.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 612×	`lower-fma.f64`
12 612×	`lower-fma.f32`
6 576×	`lower-*.f64`
6 576×	`lower-*.f32`
4 338×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	415	5652
1	1336	5436
2	4153	5216
0	8674	4953

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 354

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))))
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(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) 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)))
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)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)

Outputs
(/ (* 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))))
(.f64 v (fma.f64 v (.f64 v (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 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 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.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 (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 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 #s(literal -1/5040 binary64)) (+.f64 e #s(literal 1 binary64))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.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 (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 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 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.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 (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 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)))
(* 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) (* 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 (cos.f64 v) (.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) (neg.f64 (*.f64 (sin.f64 v) (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 (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 (/ (+ (* -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 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))))) e))
(/ v (+ 1 e))
(/.f64 v (+.f64 e #s(literal 1 binary64)))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(fma.f64 v (.f64 (.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))
(* 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))))
(fma.f64 v (.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 e (fma.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/2 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))
(* 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))))
(fma.f64 v (.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (fma.f64 e (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 e (fma.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/2 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/2 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/24 binary64))) (fma.f64 #s(literal -1/720 binary64) (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/5040 binary64) (+.f64 e #s(literal 1 binary64))))) (.f64 v (neg.f64 v)) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 e (fma.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/2 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))) (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin v)
(sin.f64 v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (sin.f64 v))
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(fma.f64 e (.f64 (sin.f64 v) (.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (sin.f64 v))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
(fma.f64 e (fma.f64 (neg.f64 e) (.f64 (sin.f64 v) (.f64 (cos.f64 v) (.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) (neg.f64 (.f64 (sin.f64 v) (cos.f64 v)))) (sin.f64 v))
(/ (sin v) (* e (cos v)))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(-.f64 (/.f64 (sin.f64 v) (.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (.f64 e (*.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)))) e)
(/.f64 (+.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)))))) 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)
(/.f64 (+.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)))))) e)
(/ (sin v) (* e (cos v)))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
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(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(/.f64 (+.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)))))) 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))
(/.f64 (-.f64 (/.f64 (+.f64 (-.f64 (/.f64 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) (/.f64 (sin.f64 v) (cos.f64 v))) (neg.f64 e))
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 v (.f64 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)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
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(sin v)
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(sin v)
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(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
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(+ 1 (* e (cos v)))
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(.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 (.f64 e e) (fma.f64 v (.f64 v #s(literal 1/2 binary64)) #s(literal -1 binary64)) e)
(+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2))))))
(fma.f64 e (neg.f64 e) (fma.f64 (.f64 e (.f64 e (.f64 v v))) (fma.f64 #s(literal -1/24 binary64) (.f64 v v) #s(literal 1/2 binary64)) 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 (.f64 v v) (fma.f64 (.f64 e (.f64 e (.f64 v v))) (fma.f64 v (.f64 v #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) (.f64 (.f64 e e) #s(literal 1/2 binary64))) (-.f64 e (.f64 e 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))))
(* 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) (* 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 (cos.f64 v) (.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) (neg.f64 (*.f64 (sin.f64 v) (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 (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 (/ (+ (* -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 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))))) e))
(/ (* 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))))
(.f64 v (fma.f64 v (.f64 v (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 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 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.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 (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 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 #s(literal -1/5040 binary64)) (+.f64 e #s(literal 1 binary64))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.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 (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 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 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.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 (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 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 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/.f64 (fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) e)
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/.f64 (fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) e)
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/.f64 (fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) e)
(/ (cos v) (sin v))
(/.f64 (cos.f64 v) (sin.f64 v))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(/ (cos v) (sin v))
(/.f64 (cos.f64 v) (sin.f64 v))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
(/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (fma.f64 (.f64 v v) (-.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (neg.f64 (+.f64 (+.f64 #s(literal -1/360 binary64) (.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal 1/840 binary64))) (.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))))) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.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 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)
(* -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)

rewrite377.0ms (4.2%)

Memory

38.8MiB live, 656.7MiB allocated

Rules

7 310×	`lower-fma.f32`
7 306×	`lower-fma.f64`
5 980×	`lower-*.f32`
5 970×	`lower-*.f64`
4 718×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	145
0	44	140
1	152	140
2	929	140
0	8679	140

Stop Event

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

Counts

17 → 1 288

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

eval281.0ms (3.1%)

Memory: 14.4MiB live, 788.4MiB allocated
Compiler: Compiled 47 642 to 3 614 computations (92.4% saved)

prune288.0ms (3.2%)

Memory

-8.4MiB live, 863.9MiB allocated

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	1 882	22	1 904
Fresh	3	3	6
Picked	1	4	5
Done	0	0	0
Total	1 886	29	1 915

Accuracy

100.0%

Counts

1 915 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.8%	(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	98.9%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
▶	99.6%	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
	99.6%	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
	98.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
	98.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
	96.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
	48.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
▶	47.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
	48.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) e))) v)))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
▶	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e)
✓	48.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
	48.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
✓	99.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
	39.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e e (.f64 (neg.f64 (.f64 e (.f64 e (cos.f64 v)))) (neg.f64 (fma.f64 e (.f64 e (cos.f64 v)) e)))) (fma.f64 e (.f64 e e) (neg.f64 (pow.f64 (.f64 e (.f64 e (cos.f64 v))) #s(literal 3 binary64))))))))
	98.5%	#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)))))
▶	48.1%	#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)))))
✓	97.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
	47.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.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)) (.f64 v (*.f64 v v)) v))))
	46.8%	#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))))
	47.1%	#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))))
	2.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
	48.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e)))))
▶	47.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
	68.8%	#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))))))
	47.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) (fma.f64 v (.f64 v (fma.f64 e #s(literal -1/6 binary64) (.f64 (.f64 e e) #s(literal 2/3 binary64)))) e)))))
	47.0%	#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 (.f64 e (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 e #s(literal -1/6 binary64))) e))))
	47.1%	#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 915 to 500 computations (45.4% saved)

simplify238.0ms (2.7%)

Memory

15.5MiB live, 407.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
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)) e)
cost-diff	0	(sin.f64 v)
cost-diff	384	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
cost-diff	0	(*.f64 v v)
cost-diff	0	(.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))))
cost-diff	0	#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)))))
cost-diff	896	(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)))
cost-diff	0	(+.f64 e #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
cost-diff	0	#s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 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	(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	0	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e)
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))

Rules

10 826×	`lower-fma.f32`
10 820×	`lower-fma.f64`
5 014×	`lower-*.f32`
5 004×	`lower-*.f64`
1 984×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	287
0	60	287
1	110	283
2	231	272
3	691	268
4	1970	268
5	4145	268
6	5637	268
7	6223	268
8	6607	268
9	6656	268
10	6674	268
11	7244	268
12	7701	268
13	7899	268
0	8895	265

Stop Event

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

Calls

Call 1

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

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

localize146.0ms (1.6%)

Memory

23.9MiB live, 298.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 v)
accuracy	0	(cos.f64 v)
accuracy	0.0078125	(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
accuracy	0.25390625	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
accuracy	0.0703125	(.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))))
accuracy	0.34765625	(*.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)))
accuracy	9.18973979510224	(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)))
accuracy	33.20093527818879	#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)))))
accuracy	0	(*.f64 e v)
accuracy	0.171875	(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
accuracy	1.1830947793770206	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
accuracy	33.29487088116138	#s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
accuracy	0	(*.f64 e v)
accuracy	1.2380575737327395	#s(approx (/ (* e v) (+ 1 e)) (*.f64 e v))
accuracy	33.04416022007948	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
accuracy	0	(cos.f64 v)
accuracy	0.125	(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
accuracy	0.13671875	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e)
accuracy	0.26953125	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))

Samples

89.0ms

256×

valid

Compiler

Compiled 246 to 34 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-div: 15.0ms (27.4% of total)

ival-mult: 15.0ms (27.4% of total)

ival-add: 9.0ms (16.5% of total)

ival-cos: 6.0ms (11% of total)

ival-sin: 5.0ms (9.1% of total)

const: 4.0ms (7.3% of total)

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.4%)

Memory

14.3MiB live, 91.7MiB allocated

Counts

20 → 420

Calls

Call 1

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

Outputs
#s(alt (sin v) (taylor 0 e) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ (sin v) (* -1 (* e (* (cos v) (sin v))))) (taylor 0 e) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))) (taylor 0 e) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ (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 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (* e (cos v))) (taylor inf e) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 #s(literal 1 binary64) (/.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))) e) (taylor inf e) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 #s(literal 1 binary64) (/.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)))) e) (taylor inf e) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 #s(literal 1 binary64) (/.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))))) e) (taylor inf e) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) (patch (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) #<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 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) (patch (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) #<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 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) (patch (/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)) #<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 (/ 1 e) (taylor 0 e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* e (cos v))) e) (taylor 0 e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* e (cos v))) e) (taylor 0 e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* e (cos v))) e) (taylor 0 e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor inf e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (+ (cos v) (/ 1 e)) (taylor inf e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (+ (cos v) (/ 1 e)) (taylor inf e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (+ (cos v) (/ 1 e)) (taylor inf e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor -inf e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (+ (cos v) (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (+ (cos v) (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (+ (cos v) (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 e) e) (taylor 0 v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* e (cos v))) e) (taylor inf v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* e (cos v))) e) (taylor inf v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* e (cos v))) e) (taylor inf v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* e (cos v))) e) (taylor inf v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* e (cos v))) e) (taylor -inf v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* e (cos v))) e) (taylor -inf v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* e (cos v))) e) (taylor -inf v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* e (cos v))) e) (taylor -inf v) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) #<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>) () ())) ())
#s(alt (* -1/6 e) (taylor 0 e) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (* e (- (* 2/3 e) 1/6)) (taylor 0 e) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (* e (- (* e (+ 2/3 (* -7/6 e))) 1/6)) (taylor 0 e) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (* e (- (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))) 1/6)) (taylor 0 e) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor inf e) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (- 1/3 (* 5/6 (/ 1 e))) (taylor inf e) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1/3 (/ 4/3 (pow e 2))) (* 5/6 (/ 1 e))) (taylor inf e) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1/3 (/ 4/3 (pow e 2))) (+ (* 5/6 (/ 1 e)) (* 11/6 (/ 1 (pow e 3))))) (taylor inf e) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor -inf e) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (- 1/3 (* 5/6 (/ 1 e))) (taylor -inf e) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* -1 (/ (- 5/6 (* 4/3 (/ 1 e))) e))) (taylor -inf e) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* -1 (/ (+ 5/6 (* -1 (/ (- 4/3 (* 11/6 (/ 1 e))) e))) e))) (taylor -inf e) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())

Calls

105 calls:

Time	Variable		Point	Expression
2.0ms	e	@	-inf	(/ (+ e 1) (* e v))
1.0ms	e	@	inf	(+ (* (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e)))
1.0ms	v	@	0	(+ (* (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e)))
1.0ms	e	@	0	(+ (* (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e)))
1.0ms	e	@	-inf	(+ (* (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e)))

simplify292.0ms (3.3%)

Memory

5.5MiB live, 596.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 638×	`lower-fma.f64`
9 638×	`lower-fma.f32`
5 704×	`lower-*.f64`
5 704×	`lower-*.f32`
3 846×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	604	7174
1	1908	6863
2	5887	6841
0	8228	6392

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 415

Calls

Call 1

Inputs
(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 (+ 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))))
(* 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)))
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(* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (* (pow v 2) (+ 1 e)))) (* -1 (/ (* e (- (* 1/2 (/ e (+ 1 e))) 1/6)) (+ 1 e))))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (+ (* e (* v (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2)))))) (* v (+ 1 (* -1/6 (pow v 2))))))
(* e (+ (* e (+ (* e (* v (- (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2)))) (* 1/2 (pow v 2))))) (* v (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2))))))) (* v (+ 1 (* -1/6 (pow v 2))))))
(* e (+ (* e (+ (* e (+ (* e (* v (- (pow v 2) (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2))))))) (* v (- (+ 1 (+ (* -1/2 (pow v 2)) (* -1/6 (pow v 2)))) (* 1/2 (pow v 2)))))) (* v (- (* 1/2 (pow v 2)) (+ 1 (* -1/6 (pow v 2))))))) (* v (+ 1 (* -1/6 (pow v 2))))))
(* v (+ 1 (* 1/3 (pow v 2))))
(+ (* v (+ 1 (* 1/3 (pow v 2)))) (/ (* v (- (* -1/2 (pow v 2)) (+ 1 (* 1/3 (pow v 2))))) e))
(+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -1/2 (pow v 2)) (+ 1 (* 1/3 (pow v 2))))) e) (/ (* v (- (+ 1 (+ (* 1/3 (pow v 2)) (* 1/2 (pow v 2)))) (* -1/2 (pow v 2)))) (pow e 2))))
(+ (* v (+ 1 (* 1/3 (pow v 2)))) (+ (/ (* v (- (* -1 (pow v 2)) (+ 1 (+ (* 1/3 (pow v 2)) (* 1/2 (pow v 2)))))) (pow e 3)) (+ (/ (* v (- (* -1/2 (pow v 2)) (+ 1 (* 1/3 (pow v 2))))) e) (/ (* v (- (+ 1 (+ (* 1/3 (pow v 2)) (* 1/2 (pow v 2)))) (* -1/2 (pow v 2)))) (pow e 2)))))
(* v (+ 1 (* 1/3 (pow v 2))))
(+ (* -1 (/ (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2)))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))
(+ (* -1 (/ (+ (* -1 (/ (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2)))))) e)) (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2)))))))) e)) (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1 (- (* 1/2 (pow v 2)) (* -1/3 (pow v 2))))))) e)) (* v (- (+ 1 (* 1/2 (pow v 2))) (* -1/3 (pow v 2))))) e)) (* v (+ 1 (* 1/3 (pow v 2)))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(/ (* 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
(* 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 e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(/ (+ 1 e) e)
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) e)
(/ (+ 1 (* e (cos v))) 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)
(* -1/6 e)
(* e (- (* 2/3 e) 1/6))
(* e (- (* e (+ 2/3 (* -7/6 e))) 1/6))
(* e (- (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))) 1/6))
1/3
(- 1/3 (* 5/6 (/ 1 e)))
(- (+ 1/3 (/ 4/3 (pow e 2))) (* 5/6 (/ 1 e)))
(- (+ 1/3 (/ 4/3 (pow e 2))) (+ (* 5/6 (/ 1 e)) (* 11/6 (/ 1 (pow e 3)))))
1/3
(- 1/3 (* 5/6 (/ 1 e)))
(+ 1/3 (* -1 (/ (- 5/6 (* 4/3 (/ 1 e))) e)))
(+ 1/3 (* -1 (/ (+ 5/6 (* -1 (/ (- 4/3 (* 11/6 (/ 1 e))) e))) e)))

Outputs
(sin v)
(sin.f64 v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(-.f64 (sin.f64 v) (.f64 (sin.f64 v) (.f64 e (cos.f64 v))))
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(fma.f64 e (.f64 (sin.f64 v) (-.f64 (.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (cos.f64 v))) (sin.f64 v))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
(fma.f64 e (fma.f64 e (.f64 (neg.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) (* e (cos v)))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(-.f64 (/.f64 (sin.f64 v) (.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (.f64 e (*.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)))) e)
(/.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) 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)
(/.f64 (-.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e))) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) (/.f64 (sin.f64 v) (.f64 (.f64 e (.f64 e e)) (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)
(/ (sin v) (* e (cos v)))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(neg.f64 (-.f64 (/.f64 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(/.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) 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))
(neg.f64 (/.f64 (-.f64 (/.f64 (+.f64 (-.f64 (/.f64 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) (/.f64 (sin.f64 v) (cos.f64 v))) e))
(/ v (+ 1 e))
(/.f64 v (+.f64 e #s(literal 1 binary64)))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(fma.f64 (.f64 v (.f64 v (neg.f64 v))) (fma.f64 e (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 v (+.f64 e #s(literal 1 binary64))))
(* 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))))
(fma.f64 (-.f64 (.f64 v (.f64 v (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 e (fma.f64 e (/.f64 #s(literal -1/2 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 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 -1/2 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (.f64 v (*.f64 v v)) (/.f64 v (+.f64 e #s(literal 1 binary64))))
(* 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))))
(fma.f64 (fma.f64 (.f64 v v) (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 e (fma.f64 e (/.f64 #s(literal -1/2 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64)))) (/.f64 e (+.f64 e #s(literal 1 binary64)))) (fma.f64 (/.f64 (.f64 e (fma.f64 e (/.f64 #s(literal -1/2 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/24 binary64) (fma.f64 e (/.f64 #s(literal -1/720 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/5040 binary64) (+.f64 e #s(literal 1 binary64)))))) (.f64 v (neg.f64 v)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 e (fma.f64 e (/.f64 #s(literal -1/2 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))))) (-.f64 (.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (.f64 v (.f64 v v)) (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 e (-.f64 (sin.f64 v) (.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(* 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 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (cos.f64 v))) (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 e (.f64 (neg.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 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e))) (/.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 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e))) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) (/.f64 (sin.f64 v) (.f64 (.f64 e (.f64 e e)) (pow.f64 (cos.f64 v) #s(literal 4 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 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e))) (/.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)))
(-.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 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))))) e))
(/ (* e v) (+ 1 e))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
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(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 e (-.f64 (sin.f64 v) (.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(* 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 (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (cos.f64 v))) (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 e (.f64 (neg.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 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e))) (/.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 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e))) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) (/.f64 (sin.f64 v) (.f64 (.f64 e (.f64 e e)) (pow.f64 (cos.f64 v) #s(literal 4 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 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e))) (/.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)))
(-.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 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))))) e))
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 (.f64 v (.f64 v v)) (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (.f64 v (.f64 v v)) (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)) 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)
(/ 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 (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(cos v)
(cos.f64 v)
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(cos v)
(cos.f64 v)
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(/ (+ 1 e) e)
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 v (.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) v) v (/.f64 #s(literal 1 binary64) e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(+.f64 (/.f64 #s(literal 1 binary64) e) (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)))
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
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 (.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)
(* -1/6 e)
(*.f64 e #s(literal -1/6 binary64))
(* e (- (* 2/3 e) 1/6))
(*.f64 e (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)))
(* e (- (* e (+ 2/3 (* -7/6 e))) 1/6))
(*.f64 e (fma.f64 e (fma.f64 e #s(literal -7/6 binary64) #s(literal 2/3 binary64)) #s(literal -1/6 binary64)))
(* e (- (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))) 1/6))
(*.f64 e (fma.f64 e (fma.f64 e (fma.f64 e #s(literal 5/3 binary64) #s(literal -7/6 binary64)) #s(literal 2/3 binary64)) #s(literal -1/6 binary64)))
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 5/6 (/ 1 e)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -5/6 binary64) e))
(- (+ 1/3 (/ 4/3 (pow e 2))) (* 5/6 (/ 1 e)))
(+.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 e e)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -5/6 binary64) e)))
(- (+ 1/3 (/ 4/3 (pow e 2))) (+ (* 5/6 (/ 1 e)) (* 11/6 (/ 1 (pow e 3)))))
(+.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) (.f64 e e))) (-.f64 (/.f64 #s(literal -5/6 binary64) e) (/.f64 #s(literal 11/6 binary64) (.f64 e (*.f64 e e)))))
1/3
#s(literal 1/3 binary64)
(- 1/3 (* 5/6 (/ 1 e)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -5/6 binary64) e))
(+ 1/3 (* -1 (/ (- 5/6 (* 4/3 (/ 1 e))) e)))
(-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -4/3 binary64) e)) e))
(+ 1/3 (* -1 (/ (+ 5/6 (* -1 (/ (- 4/3 (* 11/6 (/ 1 e))) e))) e)))
(-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 4/3 binary64) (/.f64 #s(literal -11/6 binary64) e)) e)) e))

rewrite326.0ms (3.6%)

Memory

-50.7MiB live, 808.3MiB allocated

Rules

5 898×	`lower-/.f32`
5 884×	`lower-/.f64`
4 272×	`lower-*.f32`
4 262×	`lower-*.f64`
3 618×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	243
0	60	243
1	242	237
2	1792	237
0	8629	237

Stop Event

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

Counts

20 → 1 117

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (/.f64 (sin.f64 v) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 (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)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (sin.f64 v) (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)) (sin.f64 v))))
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (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))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v))) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.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))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 v) (neg.f64 (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))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 (sin.f64 v) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 (sin.f64 v)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 v))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (*.f64 e (cos.f64 v)) (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)))) (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)))))
(.f64 (/.f64 (sin.f64 v) (-.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 e (cos.f64 v))))
(.f64 (/.f64 (sin.f64 v) (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 #s(literal 1 binary64) (+.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 (*.f64 e (cos.f64 v)) (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)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 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)))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.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 (sin.f64 v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))))
(.f64 (/.f64 #s(literal 1 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)))) #s(literal -1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
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(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 e (.f64 e e)) #s(literal 1/8 binary64)) (.f64 (+.f64 #s(literal 1 binary64) e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (/.f64 (.f64 e (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 #s(literal -1/216 binary64) (/.f64 (.f64 e (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))))))) (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 e #s(literal 1/2 binary64)) e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 (.f64 e #s(literal 1/2 binary64)) e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (-.f64 (.f64 (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (.f64 (/.f64 (.f64 (.f64 e #s(literal 1/2 binary64)) e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 e #s(literal 1/2 binary64)) e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 (.f64 e #s(literal 1/2 binary64)) e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))))) (neg.f64 (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal 1/6 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) e) e))))
(/.f64 (neg.f64 (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 (.f64 e (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal 1/8 binary64) #s(literal -1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/4 binary64) #s(literal 1/36 binary64)) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 (.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/4 binary64) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (neg.f64 e))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e))))
(/.f64 (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 e (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal 1/8 binary64) #s(literal -1/216 binary64)) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (neg.f64 (-.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/4 binary64) #s(literal 1/36 binary64)) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (/.f64 (.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/4 binary64) #s(literal -1/36 binary64)) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (neg.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (/.f64 (.f64 e (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 (/.f64 (.f64 (.f64 e (.f64 e e)) #s(literal 1/8 binary64)) (.f64 (+.f64 #s(literal 1 binary64) e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (/.f64 (.f64 e (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (fma.f64 (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (-.f64 (.f64 (/.f64 (.f64 (.f64 e #s(literal 1/2 binary64)) e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 (.f64 e #s(literal 1/2 binary64)) e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) (.f64 (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)) (/.f64 (.f64 (.f64 e #s(literal 1/2 binary64)) e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) #s(literal -1 binary64))
(.f64 e (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))))
(*.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)) (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) e)))
(.f64 (.f64 e (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 e #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)))
(.f64 (/.f64 e (fma.f64 e (.f64 e e) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 e e #s(literal 1 binary64)) e))))
(.f64 (/.f64 e (fma.f64 e (.f64 e e) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 e (fma.f64 e e #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))
(.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) (-.f64 (fma.f64 e e #s(literal 1 binary64)) e))
(.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (fma.f64 e (*.f64 e e) #s(literal 1 binary64))) (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (fma.f64 e e #s(literal -1 binary64))) (+.f64 e #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 e #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (/.f64 (.f64 e (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))) #s(literal 1/8 binary64) #s(literal -1/216 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/4 binary64) #s(literal 1/36 binary64)) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/12 binary64)))) (/.f64 #s(literal 1 binary64) e)))
(.f64 (/.f64 (fma.f64 (/.f64 (.f64 e e) (*.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/4 binary64) #s(literal -1/36 binary64)) (+.f64 #s(literal 1 binary64) e)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) e)))
(.f64 (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (fma.f64 e (.f64 e e) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 e e #s(literal 1 binary64)) e))))
(.f64 (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (fma.f64 e (.f64 e e) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (fma.f64 e e #s(literal -1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64)))))
(.f64 (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))
(*.f64 (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 e) (+.f64 #s(literal 1 binary64) e)))

eval246.0ms (2.8%)

Memory: 54.7MiB live, 700.4MiB allocated
Compiler: Compiled 46 881 to 4 167 computations (91.1% saved)

prune289.0ms (3.2%)

Memory

12.6MiB live, 936.9MiB allocated

Pruning

43 alts after pruning (36 fresh and 7 done)

	Pruned	Kept	Total
New	1 626	19	1 645
Fresh	3	17	20
Picked	2	3	5
Done	0	4	4
Total	1 631	43	1 674

Accuracy

100.0%

Counts

1 674 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.8%	(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	98.9%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	97.7%	(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
▶	99.6%	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
	98.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
	98.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
	48.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
	47.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)))
	47.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
✓	47.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
	46.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 #s(approx (+ e 1) #s(literal 1 binary64)) (*.f64 e v))))
	47.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (/.f64 #s(literal 1 binary64) e))))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
✓	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e)
	49.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 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 1/120 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))) e)
▶	49.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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))) e)
	48.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) e)
	48.1%	(.f64 #s(approx (/ 1 (/ (+ ( e (cos v)) 1) (sin v))) (fma.f64 (.f64 v (.f64 v (neg.f64 v))) (fma.f64 e (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
	48.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 (.f64 (.f64 v v) e) (+.f64 #s(literal 1 binary64) e)) (.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) v) (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
	48.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) (.f64 v (.f64 v v)) (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
	48.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e (.f64 (.f64 v v) (.f64 (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))))))
✓	48.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
	48.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
✓	99.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
	39.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e e (.f64 (neg.f64 (.f64 e (.f64 e (cos.f64 v)))) (neg.f64 (fma.f64 e (.f64 e (cos.f64 v)) e)))) (fma.f64 e (.f64 e e) (neg.f64 (pow.f64 (.f64 e (.f64 e (cos.f64 v))) #s(literal 3 binary64))))))))
	98.5%	#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)))))
	48.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
▶	48.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
▶	48.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
	48.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))))
	47.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/6 binary64)) (.f64 e (fma.f64 v (.f64 v #s(literal 1/2 binary64)) (fma.f64 (.f64 v v) #s(literal 1/6 binary64) #s(literal -1 binary64))))) e))))
	47.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))))
	20.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (.f64 (.f64 v v) (fma.f64 e (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 e (.f64 v (.f64 v (+.f64 e #s(literal 1 binary64))))))))))
✓	97.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
	47.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.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)) (.f64 v (*.f64 v v)) v))))
	46.8%	#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))))
	47.1%	#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))))
	2.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
▶	48.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e)))))
✓	47.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
	68.8%	#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))))))
	47.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) (fma.f64 v (.f64 v (fma.f64 e #s(literal -1/6 binary64) (.f64 (.f64 e e) #s(literal 2/3 binary64)))) e)))))
	47.0%	#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 (.f64 e (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 e #s(literal -1/6 binary64))) e))))

Compiler

Compiled 1 558 to 815 computations (47.7% saved)

simplify189.0ms (2.1%)

Memory

-45.5MiB live, 403.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
cost-diff	384	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))))
cost-diff	896	(fma.f64 (*.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
cost-diff	0	#s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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)))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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))) e)
cost-diff	384	(fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
cost-diff	0	(*.f64 v v)
cost-diff	0	(fma.f64 (.f64 v v) #s(approx ( (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
cost-diff	0	(.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
cost-diff	0	(-.f64 e (*.f64 e e))
cost-diff	0	(.f64 v (-.f64 e (.f64 e e)))
cost-diff	0	#s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e))))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e)))))
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

7 260×	`lower-fma.f32`
7 246×	`lower-fma.f64`
3 274×	`lower-*.f32`
3 258×	`lower-*.f64`
1 990×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	515
0	94	506
1	183	487
2	365	484
3	1128	471
4	2635	471
5	5824	471
6	6436	471
7	7415	471
0	8342	461

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 v (-.f64 e (.f64 e e)))))
#s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e))))
(.f64 v (-.f64 e (.f64 e e)))
v
(-.f64 e (*.f64 e e))
e
(*.f64 e e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
v
(fma.f64 (.f64 v v) #s(approx ( (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 v v)
#s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64)))
(*.f64 e #s(literal -1/6 binary64))
e
#s(literal -1/6 binary64)
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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)))
#s(literal 1 binary64)
#s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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 (fma.f64 v (*.f64 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)
(fma.f64 v (*.f64 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 v (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 -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))
e
#s(literal -1/2 binary64)
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(+.f64 e #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(.f64 v (fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
v
(fma.f64 (*.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 v v)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))))
#s(literal 1 binary64)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(+.f64 #s(literal 1 binary64) e)
e
(fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))
(/.f64 e (+.f64 #s(literal 1 binary64) e))
#s(literal 1/2 binary64)
#s(literal -1/6 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 v (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e))))
#s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v))))
(.f64 v (-.f64 e (.f64 e e)))
(.f64 e (-.f64 v (.f64 e v)))
v
(-.f64 e (*.f64 e e))
e
(*.f64 e e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
v
(fma.f64 (.f64 v v) #s(approx ( (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(fma.f64 (.f64 v v) #s(approx ( (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 e #s(literal 1 binary64))))
(*.f64 v v)
#s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64)))
(*.f64 e #s(literal -1/6 binary64))
e
#s(literal -1/6 binary64)
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(/.f64 e (+.f64 e #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) e)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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))) e)
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v)))
#s(literal 1 binary64)
#s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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))
#s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v))
(/.f64 (fma.f64 v (*.f64 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 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v)
(fma.f64 v (*.f64 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)))
(+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
v
(*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 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 -1/3 binary64) #s(literal 1/6 binary64))
e
#s(literal -1/2 binary64)
(fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(+.f64 e #s(literal 1 binary64))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 e (fma.f64 (fma.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v)) (+.f64 e #s(literal 1 binary64))))
(.f64 v (fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/.f64 (.f64 e (fma.f64 (fma.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v)) (+.f64 e #s(literal 1 binary64)))
v
(fma.f64 (*.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(/.f64 (fma.f64 (.f64 e (.f64 v v)) (fma.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)) e) (+.f64 e #s(literal 1 binary64)))
(*.f64 v v)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))))
(/.f64 (*.f64 e (fma.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (+.f64 e #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e (fma.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(+.f64 #s(literal 1 binary64) e)
(+.f64 e #s(literal 1 binary64))
e
(fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))
(fma.f64 e (/.f64 #s(literal 1/2 binary64) (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(/.f64 e (+.f64 e #s(literal 1 binary64)))
#s(literal 1/2 binary64)
#s(literal -1/6 binary64)

localize170.0ms (1.9%)

Memory

25.8MiB live, 545.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.36328125	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))
accuracy	0.45812468454433497	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))))
accuracy	9.18973979510224	(fma.f64 (*.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
accuracy	33.20093527818879	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
accuracy	0.26953125	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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)))
accuracy	0.3125	(*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
accuracy	17.81271115879073	(/.f64 (fma.f64 v (*.f64 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)
accuracy	33.18659248721499	#s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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))
accuracy	0.33984375	(*.f64 e #s(literal -1/6 binary64))
accuracy	1.3657295721933078	#s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64)))
accuracy	9.18973979510224	(fma.f64 (.f64 v v) #s(approx ( (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
accuracy	33.20093527818879	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
accuracy	0	(.f64 v (-.f64 e (.f64 e e)))
accuracy	0	(*.f64 e e)
accuracy	0.539071702595796	#s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e))))
accuracy	33.04416022007948	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e)))))
accuracy	0	(sin.f64 v)
accuracy	0	(cos.f64 v)
accuracy	0.125	(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
accuracy	0.18359375	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))

Samples

100.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 397 to 52 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 28.0ms (35.9% of total)

ival-div: 15.0ms (19.2% of total)

ival-add: 12.0ms (15.4% of total)

const: 8.0ms (10.2% of total)

ival-cos: 8.0ms (10.2% of total)

ival-sin: 5.0ms (6.4% of total)

ival-sub: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

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

series45.0ms (0.5%)

Memory

-21.4MiB live, 137.6MiB allocated

Counts

26 → 504

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 v (-.f64 e (.f64 e e))))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e)))) (patch #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e 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 (.f64 e e)) (patch (-.f64 e (.f64 e e)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) #<representation binary64>) () ())
#s(alt (.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (patch (.f64 v (fma.f64 (.f64 v v) #s(approx ( (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 v v) #s(approx ( (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (patch (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())
#s(alt (.f64 v v) (patch (.f64 v v) #<representation binary64>) () ())
#s(alt (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (patch (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (.f64 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))) e) (patch (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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))) e) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (.f64 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))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (.f64 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)) (patch #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (patch (fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (patch (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt (.f64 e e) (patch (.f64 e e) #<representation binary64>) () ())
#s(alt #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (.f64 e #s(literal -1/6 binary64))) (patch #s(approx ( (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 v (.f64 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) (patch (/.f64 (fma.f64 v (.f64 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) #<representation binary64>) () ())
#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #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>) () ())) ())
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#s(alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (taylor 0 v) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (taylor 0 v) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (taylor inf v) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (taylor inf v) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (taylor inf v) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (taylor inf v) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (taylor -inf v) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (taylor -inf v) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (taylor -inf v) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (taylor -inf v) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 v) (taylor 0 e) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (* e v)) (* 1/6 v)) (taylor 0 e) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (* e v)) (* 1/6 v)) (taylor 0 e) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (* e v)) (* 1/6 v)) (taylor 0 e) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* e v)) (taylor inf e) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (* -1/3 v) (* 1/6 (/ v e)))) (taylor inf e) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (* -1/3 v) (* 1/6 (/ v e)))) (taylor inf e) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (* -1/3 v) (* 1/6 (/ v e)))) (taylor inf e) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/3 (* e v)) (taylor -inf e) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v)))) (taylor -inf e) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v)))) (taylor -inf e) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v)))) (taylor -inf e) (#s(alt (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (patch (.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ())

Calls

126 calls:

Time	Variable		Point	Expression
5.0ms	e	@	inf	(+ (* (* v v) (/ 1 (/ (/ (+ 1 e) e) (+ (* (/ e (+ 1 e)) 1/2) -1/6)))) (/ e (+ 1 e)))
2.0ms	e	@	0	(/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v)
1.0ms	v	@	inf	(/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v)
1.0ms	v	@	0	(/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v)
1.0ms	e	@	inf	(/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v)

simplify302.0ms (3.4%)

Memory

18.7MiB live, 735.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 724×	`lower-fma.f64`
10 724×	`lower-fma.f32`
5 836×	`lower-*.f64`
5 836×	`lower-*.f32`
4 352×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	673	8677
1	2115	8195
2	6373	8167
0	8017	7637

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 500

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))
(+ (* -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 v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e 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
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* -1 e)))
(* -1 (pow e 2))
(* (pow e 2) (- (/ 1 e) 1))
(* (pow e 2) (- (/ 1 e) 1))
(* (pow e 2) (- (/ 1 e) 1))
(* -1 (pow e 2))
(* (pow e 2) (- (/ 1 e) 1))
(* (pow e 2) (- (/ 1 e) 1))
(* (pow e 2) (- (/ 1 e) 1))
(* 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)))
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(+ 3 (* 15/2 (/ 1 e)))
(+ 3 (+ (* 15/2 (/ 1 e)) (/ 27/4 (pow e 2))))
(+ 3 (+ (* 15/2 (/ 1 e)) (+ (* 27/8 (/ 1 (pow e 3))) (/ 27/4 (pow e 2)))))
3
(+ 3 (* 15/2 (/ 1 e)))
(+ 3 (+ (* 15/2 (/ 1 e)) (/ 27/4 (pow e 2))))
(+ 3 (* -1 (/ (- (* -1 (/ (+ 27/4 (* 27/8 (/ 1 e))) e)) 15/2) e)))
(* 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))))
(* 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)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(pow e 2)
(* -1/6 e)
(* e (- (* 2/3 e) 1/6))
(* e (- (* e (+ 2/3 (* -7/6 e))) 1/6))
(* e (- (* e (+ 2/3 (* e (- (* 5/3 e) 7/6)))) 1/6))
1/3
(- 1/3 (* 5/6 (/ 1 e)))
(- (+ 1/3 (/ 4/3 (pow e 2))) (* 5/6 (/ 1 e)))
(- (+ 1/3 (/ 4/3 (pow e 2))) (+ (* 5/6 (/ 1 e)) (* 11/6 (/ 1 (pow e 3)))))
1/3
(- 1/3 (* 5/6 (/ 1 e)))
(+ 1/3 (* -1 (/ (- 5/6 (* 4/3 (/ 1 e))) e)))
(+ 1/3 (* -1 (/ (+ 5/6 (* -1 (/ (- 4/3 (* 11/6 (/ 1 e))) e))) 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)
(* -1/6 e)
(/ (+ 1 e) v)
(/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))))) v)
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(* v (+ 1/6 (+ (* -1/2 e) (+ (* 1/6 e) (+ (/ 1 (pow v 2)) (/ e (pow v 2)))))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))
(* -1 (* v (+ (* -1 (+ 1/6 (+ (* -1/2 e) (* 1/6 e)))) (* -1 (/ (+ 1 e) (pow v 2))))))
(/ (+ 1 (* 1/6 (pow v 2))) v)
(+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))
(+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))
(+ (* 1/6 v) (+ (* e (+ (* -1/3 v) (/ 1 v))) (/ 1 v)))
(/ (* e (+ 1 (* -1/3 (pow v 2)))) v)
(* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))
(* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))
(* e (+ (* -1/3 v) (+ (* 1/6 (/ v e)) (+ (/ 1 v) (/ 1 (* e v))))))
(* -1 (/ (* e (- (* 1/3 (pow v 2)) 1)) v))
(* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))
(* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))
(* -1 (* e (- (+ (* -1 (/ (+ (* 1/6 v) (/ 1 v)) e)) (* 1/3 v)) (/ 1 v))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* v (+ 1/6 (+ (* -1/2 e) (* 1/6 e))))
(* 1/6 v)
(+ (* -1/3 (* e v)) (* 1/6 v))
(+ (* -1/3 (* e v)) (* 1/6 v))
(+ (* -1/3 (* e v)) (* 1/6 v))
(* -1/3 (* e v))
(* e (+ (* -1/3 v) (* 1/6 (/ v e))))
(* e (+ (* -1/3 v) (* 1/6 (/ v e))))
(* e (+ (* -1/3 v) (* 1/6 (/ v e))))
(* -1/3 (* e v))
(* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))
(* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))
(* -1 (* e (+ (* -1/6 (/ v e)) (* 1/3 v))))

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

rewrite284.0ms (3.2%)

Memory

-11.8MiB live, 743.2MiB allocated

Rules

5 664×	`lower-*.f32`
5 648×	`lower-*.f64`
4 646×	`lower-fma.f32`
4 632×	`lower-fma.f64`
3 560×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	416
0	94	403
1	388	389
2	3140	389
0	8439	383

Stop Event

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

Counts

26 → 750

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 v (-.f64 e (.f64 e e)))))
#s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e))))
(.f64 v (-.f64 e (.f64 e e)))
(-.f64 e (*.f64 e e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(fma.f64 (.f64 v v) #s(approx ( (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.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 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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)))
#s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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))
(fma.f64 (*.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(sin.f64 v)
(*.f64 e e)
#s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64)))
(*.f64 e #s(literal -1/6 binary64))
(/.f64 (fma.f64 v (*.f64 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 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #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)))
(neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(neg.f64 (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 e (sin.f64 v))) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.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 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.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 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))))
(/.f64 (neg.f64 e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(/.f64 (neg.f64 (*.f64 e (sin.f64 v))) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.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 (neg.f64 (*.f64 e (sin.f64 v)))) (neg.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 e (sin.f64 v)) #s(literal 1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal 1 binary64)) #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 e (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 (.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (neg.f64 e) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v)))))
(.f64 (neg.f64 (.f64 e (sin.f64 v))) (/.f64 #s(literal 1 binary64) (neg.f64 (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) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 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))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.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 #s(literal 1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (+.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)))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #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 #s(literal 2 binary64) v)))) #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) (.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))))
(*.f64 (/.f64 e (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 (sin.f64 v)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (neg.f64 (sin.f64 v)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))) (.f64 (sin.f64 v) (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))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))) (.f64 (sin.f64 v) (fma.f64 (*.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 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)) (.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
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(fma.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)) v (.f64 (.f64 e v) #s(literal -1/2 binary64)))
(fma.f64 (.f64 e #s(literal -1/2 binary64)) v (.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(fma.f64 (.f64 e #s(literal -1/3 binary64)) v (.f64 #s(literal 1/6 binary64) v))
(fma.f64 (.f64 v #s(literal -1/2 binary64)) e (.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(fma.f64 (.f64 v (+.f64 e #s(literal 1 binary64))) #s(literal 1/6 binary64) (.f64 (*.f64 e v) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 e (.f64 e e)) #s(literal -1/8 binary64)) (.f64 v (.f64 v v)) (.f64 (.f64 (.f64 (+.f64 e #s(literal 1 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/216 binary64)) (.f64 v (.f64 v v)))) (fma.f64 (.f64 (.f64 e v) #s(literal -1/2 binary64)) (.f64 (.f64 e v) #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (.f64 (.f64 (.f64 e v) #s(literal -1/2 binary64)) (.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 e v) #s(literal -1/2 binary64)) (.f64 (.f64 e v) #s(literal -1/2 binary64))) (.f64 (.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (-.f64 (.f64 (.f64 e v) #s(literal -1/2 binary64)) (*.f64 v (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))))
(/.f64 (.f64 v (fma.f64 (.f64 e (.f64 e e)) #s(literal -1/8 binary64) (.f64 (.f64 (+.f64 e #s(literal 1 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/216 binary64)))) (fma.f64 (.f64 e e) #s(literal 1/4 binary64) (.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (-.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (*.f64 e #s(literal -1/2 binary64))))))
(/.f64 (.f64 v (.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (-.f64 (.f64 e #s(literal -1/2 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))) (-.f64 (.f64 e #s(literal -1/2 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 e (.f64 e e)) #s(literal -1/8 binary64) (.f64 (.f64 (+.f64 e #s(literal 1 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/216 binary64))) v) (fma.f64 (.f64 e e) #s(literal 1/4 binary64) (.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (-.f64 (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)) (*.f64 e #s(literal -1/2 binary64))))))
(/.f64 (.f64 (.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (-.f64 (.f64 e #s(literal -1/2 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) v) (-.f64 (.f64 e #s(literal -1/2 binary64)) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))))
(*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v)

eval192.0ms (2.1%)

Memory: 8.2MiB live, 603.8MiB allocated
Compiler: Compiled 37 474 to 3 655 computations (90.2% saved)

prune232.0ms (2.6%)

Memory

11.7MiB live, 780.2MiB allocated

Pruning

40 alts after pruning (33 fresh and 7 done)

	Pruned	Kept	Total
New	1 252	19	1 271
Fresh	17	14	31
Picked	4	1	5
Done	1	6	7
Total	1 274	40	1 314

Accuracy

100.0%

Counts

1 314 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.8%	(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	98.9%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	97.7%	(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
	97.8%	(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
	49.5%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v)))
	48.3%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
	98.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
	98.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
	48.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) v)) e))
	48.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
✓	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e)
	49.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (.f64 v #s(approx (+ ( e -1/2) (+ (* e 1/6) 1/6)) (*.f64 e (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/6 binary64) e))))) (+.f64 e #s(literal 1 binary64))) v))) e)
	49.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v #s(approx (* v (+ (* e -1/2) (+ (* e 1/6) 1/6))) (.f64 e (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (.f64 v #s(literal -1/3 binary64))))) (+.f64 e #s(literal 1 binary64))) v))) e)
	49.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v #s(approx (* v (+ (* e -1/2) (+ (* e 1/6) 1/6))) (.f64 e (.f64 v #s(literal -1/3 binary64)))) (+.f64 e #s(literal 1 binary64))) v))) e)
	5.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (/.f64 (fma.f64 (.f64 v v) (.f64 e #s(literal -1/3 binary64)) e) v)))) e)
	4.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) e)
	48.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (.f64 e v))))))) e)
	5.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (neg.f64 (/.f64 (.f64 e (fma.f64 v (.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))) v))))) e)
	48.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e (.f64 #s(approx ( (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (.f64 e #s(literal -1/6 binary64))) (.f64 v (*.f64 v v)))))
✓	48.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
✓	99.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
	39.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e e (.f64 (neg.f64 (.f64 e (.f64 e (cos.f64 v)))) (neg.f64 (fma.f64 e (.f64 e (cos.f64 v)) e)))) (fma.f64 e (.f64 e e) (neg.f64 (pow.f64 (.f64 e (.f64 e (cos.f64 v))) #s(literal 3 binary64))))))))
	98.5%	#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)))))
	48.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64)))) v (/.f64 e (+.f64 e #s(literal 1 binary64))))))
	47.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (/ 1 (/ (/ (+ 1 e) e) (+ (* (/ e (+ 1 e)) 1/2) -1/6)))) (/ e (+ 1 e))) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))))
	20.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (/ 1 (/ (/ (+ 1 e) e) (+ (* (/ e (+ 1 e)) 1/2) -1/6)))) (/ e (+ 1 e))) (.f64 (.f64 v v) (fma.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 e (.f64 (.f64 (+.f64 e #s(literal 1 binary64)) v) v)))))))
	47.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/6 binary64)) (.f64 e (fma.f64 v (.f64 v #s(literal 1/2 binary64)) (fma.f64 (.f64 v v) #s(literal 1/6 binary64) #s(literal -1 binary64))))) e))))
✓	97.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
	47.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.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)) (.f64 v (*.f64 v v)) v))))
	46.8%	#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))))
	47.1%	#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))))
	48.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (.f64 e v) (.f64 (neg.f64 (*.f64 e e)) v))))
✓	48.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v (-.f64 e (.f64 e e)))))
	29.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v #s(approx (- e ( e e)) (*.f64 e (neg.f64 e))))))
✓	47.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
	47.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* v (- e (* e e))) (.f64 e (.f64 e (-.f64 (/.f64 v e) v))))))
	29.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* v (- e (* e e))) (neg.f64 (.f64 e (.f64 e v))))))
	68.8%	#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))))))
	47.0%	#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 (.f64 e (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 e #s(literal -1/6 binary64))) e))))

Compiler

Compiled 1 889 to 679 computations (64.1% saved)

regimes66.0ms (0.7%)

Memory

7.4MiB live, 206.1MiB allocated

Counts

72 → 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)) #s(approx (* v (- e (* e e))) (neg.f64 (.f64 e (.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v #s(approx (- e ( e e)) (*.f64 e (neg.f64 e))))))
#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)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (.f64 e v) (.f64 (neg.f64 (*.f64 e e)) v))))
#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)))) (.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)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (/ 1 (/ (/ (+ 1 e) e) (+ (* (/ e (+ 1 e)) 1/2) -1/6)))) (/ e (+ 1 e))) (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 v) (+ 1 e)) #s(approx (* v (- e (* e e))) (.f64 e (.f64 e (-.f64 (/.f64 v e) 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)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 #s(approx (+ e 1) #s(literal 1 binary64)) (*.f64 e v))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64)))) v (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) (fma.f64 v (.f64 v (fma.f64 e #s(literal -1/6 binary64) (.f64 (.f64 e e) #s(literal 2/3 binary64)))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e (.f64 #s(approx ( (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (.f64 e #s(literal -1/6 binary64))) (.f64 v (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.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)) (.f64 v (*.f64 v v)) v))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (/.f64 (fma.f64 (.f64 v v) (.f64 e #s(literal -1/3 binary64)) e) v)))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (neg.f64 (/.f64 (.f64 e (fma.f64 v (.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))) v))))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v #s(approx (* v (+ (* e -1/2) (+ (* e 1/6) 1/6))) (.f64 e (.f64 v #s(literal -1/3 binary64)))) (+.f64 e #s(literal 1 binary64))) v))) 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 (.f64 e (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/6 binary64)) (.f64 e (fma.f64 v (.f64 v #s(literal 1/2 binary64)) (fma.f64 (.f64 v v) #s(literal 1/6 binary64) #s(literal -1 binary64))))) e))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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))) e)
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) v)) e))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (.f64 v #s(approx (+ ( e -1/2) (+ (* e 1/6) 1/6)) (*.f64 e (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/6 binary64) e))))) (+.f64 e #s(literal 1 binary64))) v))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v #s(approx (* v (+ (* e -1/2) (+ (* e 1/6) 1/6))) (.f64 e (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (.f64 v #s(literal -1/3 binary64))))) (+.f64 e #s(literal 1 binary64))) v))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#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)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e (.f64 (.f64 v v) (.f64 (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) (.f64 v (.f64 v v)) (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 (.f64 (.f64 v v) e) (+.f64 #s(literal 1 binary64) e)) (.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) v) (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (.f64 e v))))))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (.f64 (.f64 v v) (fma.f64 e (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 e (.f64 v (.f64 v (+.f64 e #s(literal 1 binary64))))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (/ 1 (/ (/ (+ 1 e) e) (+ (* (/ e (+ 1 e)) 1/2) -1/6)))) (/ e (+ 1 e))) (.f64 (.f64 v v) (fma.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 e (.f64 (.f64 (+.f64 e #s(literal 1 binary64)) v) v)))))))
(.f64 #s(approx (/ 1 (/ (+ ( e (cos v)) 1) (sin v))) (fma.f64 (.f64 v (.f64 v (neg.f64 v))) (fma.f64 e (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 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 1/120 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))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) e))) 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 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
#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 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e)
(/.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 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
#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))))))
(*.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 (.f64 (sin.f64 v) (.f64 e (-.f64 #s(literal 1 binary64) (.f64 e (cos.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 (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))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (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) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e e (.f64 (neg.f64 (.f64 e (.f64 e (cos.f64 v)))) (neg.f64 (fma.f64 e (.f64 e (cos.f64 v)) e)))) (fma.f64 e (.f64 e e) (neg.f64 (pow.f64 (.f64 e (.f64 e (cos.f64 v))) #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	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
21.0ms	v
20.0ms	e

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)

regimes53.0ms (0.6%)

Memory

10.6MiB live, 170.1MiB allocated

Counts

58 → 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)) #s(approx (* v (- e (* e e))) (neg.f64 (.f64 e (.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v #s(approx (- e ( e e)) (*.f64 e (neg.f64 e))))))
#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)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (.f64 e v) (.f64 (neg.f64 (*.f64 e e)) v))))
#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)))) (.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)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (/ 1 (/ (/ (+ 1 e) e) (+ (* (/ e (+ 1 e)) 1/2) -1/6)))) (/ e (+ 1 e))) (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 v) (+ 1 e)) #s(approx (* v (- e (* e e))) (.f64 e (.f64 e (-.f64 (/.f64 v e) 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)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 #s(approx (+ e 1) #s(literal 1 binary64)) (*.f64 e v))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64)))) v (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) (fma.f64 v (.f64 v (fma.f64 e #s(literal -1/6 binary64) (.f64 (.f64 e e) #s(literal 2/3 binary64)))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e (.f64 #s(approx ( (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (.f64 e #s(literal -1/6 binary64))) (.f64 v (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.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)) (.f64 v (*.f64 v v)) v))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (/.f64 (fma.f64 (.f64 v v) (.f64 e #s(literal -1/3 binary64)) e) v)))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (neg.f64 (/.f64 (.f64 e (fma.f64 v (.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))) v))))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v #s(approx (* v (+ (* e -1/2) (+ (* e 1/6) 1/6))) (.f64 e (.f64 v #s(literal -1/3 binary64)))) (+.f64 e #s(literal 1 binary64))) v))) 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 (.f64 e (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/6 binary64)) (.f64 e (fma.f64 v (.f64 v #s(literal 1/2 binary64)) (fma.f64 (.f64 v v) #s(literal 1/6 binary64) #s(literal -1 binary64))))) e))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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))) e)
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) v)) e))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (.f64 v #s(approx (+ ( e -1/2) (+ (* e 1/6) 1/6)) (*.f64 e (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/6 binary64) e))))) (+.f64 e #s(literal 1 binary64))) v))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v #s(approx (* v (+ (* e -1/2) (+ (* e 1/6) 1/6))) (.f64 e (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (.f64 v #s(literal -1/3 binary64))))) (+.f64 e #s(literal 1 binary64))) v))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#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)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e (.f64 (.f64 v v) (.f64 (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) (.f64 v (.f64 v v)) (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 (.f64 (.f64 v v) e) (+.f64 #s(literal 1 binary64) e)) (.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) v) (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (.f64 e v))))))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (.f64 (.f64 v v) (fma.f64 e (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 e (.f64 v (.f64 v (+.f64 e #s(literal 1 binary64))))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (/ 1 (/ (/ (+ 1 e) e) (+ (* (/ e (+ 1 e)) 1/2) -1/6)))) (/ e (+ 1 e))) (.f64 (.f64 v v) (fma.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 e (.f64 (.f64 (+.f64 e #s(literal 1 binary64)) v) v)))))))
(.f64 #s(approx (/ 1 (/ (+ ( e (cos v)) 1) (sin v))) (fma.f64 (.f64 v (.f64 v (neg.f64 v))) (fma.f64 e (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 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 1/120 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))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) e))) 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 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
#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) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))

Calls

3 calls:

17.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
16.0ms	v
16.0ms	e

Results

Accuracy	Segments	Branch
99.0%	1	`e`
99.0%	1	`v`
99.0%	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)

regimes52.0ms (0.6%)

Memory

-33.5MiB live, 165.7MiB allocated

Counts

57 → 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)) #s(approx (* v (- e (* e e))) (neg.f64 (.f64 e (.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v #s(approx (- e ( e e)) (*.f64 e (neg.f64 e))))))
#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)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (.f64 e v) (.f64 (neg.f64 (*.f64 e e)) v))))
#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)))) (.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)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (/ 1 (/ (/ (+ 1 e) e) (+ (* (/ e (+ 1 e)) 1/2) -1/6)))) (/ e (+ 1 e))) (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 v) (+ 1 e)) #s(approx (* v (- e (* e e))) (.f64 e (.f64 e (-.f64 (/.f64 v e) 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)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 #s(approx (+ e 1) #s(literal 1 binary64)) (*.f64 e v))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64)))) v (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) (fma.f64 v (.f64 v (fma.f64 e #s(literal -1/6 binary64) (.f64 (.f64 e e) #s(literal 2/3 binary64)))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e (.f64 #s(approx ( (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (.f64 e #s(literal -1/6 binary64))) (.f64 v (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.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)) (.f64 v (*.f64 v v)) v))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (/.f64 (fma.f64 (.f64 v v) (.f64 e #s(literal -1/3 binary64)) e) v)))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (neg.f64 (/.f64 (.f64 e (fma.f64 v (.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))) v))))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v #s(approx (* v (+ (* e -1/2) (+ (* e 1/6) 1/6))) (.f64 e (.f64 v #s(literal -1/3 binary64)))) (+.f64 e #s(literal 1 binary64))) v))) 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 (.f64 e (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/6 binary64)) (.f64 e (fma.f64 v (.f64 v #s(literal 1/2 binary64)) (fma.f64 (.f64 v v) #s(literal 1/6 binary64) #s(literal -1 binary64))))) e))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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))) e)
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) v)) e))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (.f64 v #s(approx (+ ( e -1/2) (+ (* e 1/6) 1/6)) (*.f64 e (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/6 binary64) e))))) (+.f64 e #s(literal 1 binary64))) v))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v #s(approx (* v (+ (* e -1/2) (+ (* e 1/6) 1/6))) (.f64 e (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (.f64 v #s(literal -1/3 binary64))))) (+.f64 e #s(literal 1 binary64))) v))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#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)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e (.f64 (.f64 v v) (.f64 (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) (.f64 v (.f64 v v)) (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 (.f64 (.f64 v v) e) (+.f64 #s(literal 1 binary64) e)) (.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) v) (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (.f64 e v))))))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (.f64 (.f64 v v) (fma.f64 e (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 e (.f64 v (.f64 v (+.f64 e #s(literal 1 binary64))))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (/ 1 (/ (/ (+ 1 e) e) (+ (* (/ e (+ 1 e)) 1/2) -1/6)))) (/ e (+ 1 e))) (.f64 (.f64 v v) (fma.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 e (.f64 (.f64 (+.f64 e #s(literal 1 binary64)) v) v)))))))
(.f64 #s(approx (/ 1 (/ (+ ( e (cos v)) 1) (sin v))) (fma.f64 (.f64 v (.f64 v (neg.f64 v))) (fma.f64 e (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 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 1/120 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))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) e))) 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 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`e`
98.9%	1	`v`
98.9%	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 (0.5%)

Memory

-3.4MiB live, 156.7MiB allocated

Counts

53 → 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)) #s(approx (* v (- e (* e e))) (neg.f64 (.f64 e (.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v #s(approx (- e ( e e)) (*.f64 e (neg.f64 e))))))
#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)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (.f64 e v) (.f64 (neg.f64 (*.f64 e e)) v))))
#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)))) (.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)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (/ 1 (/ (/ (+ 1 e) e) (+ (* (/ e (+ 1 e)) 1/2) -1/6)))) (/ e (+ 1 e))) (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 v) (+ 1 e)) #s(approx (* v (- e (* e e))) (.f64 e (.f64 e (-.f64 (/.f64 v e) 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)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 #s(approx (+ e 1) #s(literal 1 binary64)) (*.f64 e v))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64)))) v (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) (fma.f64 v (.f64 v (fma.f64 e #s(literal -1/6 binary64) (.f64 (.f64 e e) #s(literal 2/3 binary64)))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e (.f64 #s(approx ( (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (.f64 e #s(literal -1/6 binary64))) (.f64 v (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.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)) (.f64 v (*.f64 v v)) v))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (/.f64 (fma.f64 (.f64 v v) (.f64 e #s(literal -1/3 binary64)) e) v)))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (neg.f64 (/.f64 (.f64 e (fma.f64 v (.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))) v))))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v #s(approx (* v (+ (* e -1/2) (+ (* e 1/6) 1/6))) (.f64 e (.f64 v #s(literal -1/3 binary64)))) (+.f64 e #s(literal 1 binary64))) v))) 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 (.f64 e (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/6 binary64)) (.f64 e (fma.f64 v (.f64 v #s(literal 1/2 binary64)) (fma.f64 (.f64 v v) #s(literal 1/6 binary64) #s(literal -1 binary64))))) e))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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))) e)
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) v)) e))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (.f64 v #s(approx (+ ( e -1/2) (+ (* e 1/6) 1/6)) (*.f64 e (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/6 binary64) e))))) (+.f64 e #s(literal 1 binary64))) v))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v #s(approx (* v (+ (* e -1/2) (+ (* e 1/6) 1/6))) (.f64 e (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (.f64 v #s(literal -1/3 binary64))))) (+.f64 e #s(literal 1 binary64))) v))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#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)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e (.f64 (.f64 v v) (.f64 (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) (.f64 v (.f64 v v)) (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 (.f64 (.f64 v v) e) (+.f64 #s(literal 1 binary64) e)) (.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) v) (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (.f64 e v))))))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (.f64 (.f64 v v) (fma.f64 e (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 e (.f64 v (.f64 v (+.f64 e #s(literal 1 binary64))))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (/ 1 (/ (/ (+ 1 e) e) (+ (* (/ e (+ 1 e)) 1/2) -1/6)))) (/ e (+ 1 e))) (.f64 (.f64 v v) (fma.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 e (.f64 (.f64 (+.f64 e #s(literal 1 binary64)) v) v)))))))
(.f64 #s(approx (/ 1 (/ (+ ( e (cos v)) 1) (sin v))) (fma.f64 (.f64 v (.f64 v (neg.f64 v))) (fma.f64 e (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 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 1/120 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))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) e))) 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:

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

Results

Accuracy	Segments	Branch
98.5%	1	`e`
98.5%	1	`v`
98.5%	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)

regimes49.0ms (0.5%)

Memory

34.1MiB live, 155.3MiB allocated

Counts

52 → 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)) #s(approx (* v (- e (* e e))) (neg.f64 (.f64 e (.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v #s(approx (- e ( e e)) (*.f64 e (neg.f64 e))))))
#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)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (.f64 e v) (.f64 (neg.f64 (*.f64 e e)) v))))
#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)))) (.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)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (/ 1 (/ (/ (+ 1 e) e) (+ (* (/ e (+ 1 e)) 1/2) -1/6)))) (/ e (+ 1 e))) (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 v) (+ 1 e)) #s(approx (* v (- e (* e e))) (.f64 e (.f64 e (-.f64 (/.f64 v e) 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)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 #s(approx (+ e 1) #s(literal 1 binary64)) (*.f64 e v))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64)))) v (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) (fma.f64 v (.f64 v (fma.f64 e #s(literal -1/6 binary64) (.f64 (.f64 e e) #s(literal 2/3 binary64)))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e (.f64 #s(approx ( (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (.f64 e #s(literal -1/6 binary64))) (.f64 v (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.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)) (.f64 v (*.f64 v v)) v))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (/.f64 (fma.f64 (.f64 v v) (.f64 e #s(literal -1/3 binary64)) e) v)))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (neg.f64 (/.f64 (.f64 e (fma.f64 v (.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))) v))))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v #s(approx (* v (+ (* e -1/2) (+ (* e 1/6) 1/6))) (.f64 e (.f64 v #s(literal -1/3 binary64)))) (+.f64 e #s(literal 1 binary64))) v))) 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 (.f64 e (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/6 binary64)) (.f64 e (fma.f64 v (.f64 v #s(literal 1/2 binary64)) (fma.f64 (.f64 v v) #s(literal 1/6 binary64) #s(literal -1 binary64))))) e))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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))) e)
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) v)) e))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (.f64 v #s(approx (+ ( e -1/2) (+ (* e 1/6) 1/6)) (*.f64 e (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/6 binary64) e))))) (+.f64 e #s(literal 1 binary64))) v))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v #s(approx (* v (+ (* e -1/2) (+ (* e 1/6) 1/6))) (.f64 e (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (.f64 v #s(literal -1/3 binary64))))) (+.f64 e #s(literal 1 binary64))) v))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#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)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e (.f64 (.f64 v v) (.f64 (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) (.f64 v (.f64 v v)) (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 (.f64 (.f64 v v) e) (+.f64 #s(literal 1 binary64) e)) (.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) v) (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (.f64 e v))))))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (.f64 (.f64 v v) (fma.f64 e (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 e (.f64 v (.f64 v (+.f64 e #s(literal 1 binary64))))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (/ 1 (/ (/ (+ 1 e) e) (+ (* (/ e (+ 1 e)) 1/2) -1/6)))) (/ e (+ 1 e))) (.f64 (.f64 v v) (fma.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 e (.f64 (.f64 (+.f64 e #s(literal 1 binary64)) v) v)))))))
(.f64 #s(approx (/ 1 (/ (+ ( e (cos v)) 1) (sin v))) (fma.f64 (.f64 v (.f64 v (neg.f64 v))) (fma.f64 e (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 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 1/120 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))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) e))) 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:

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

Results

Accuracy	Segments	Branch
97.9%	1	`e`
97.9%	1	`v`
97.9%	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)

regimes47.0ms (0.5%)

Memory

-10.6MiB live, 149.4MiB allocated

Counts

51 → 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)) #s(approx (* v (- e (* e e))) (neg.f64 (.f64 e (.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v #s(approx (- e ( e e)) (*.f64 e (neg.f64 e))))))
#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)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (.f64 e v) (.f64 (neg.f64 (*.f64 e e)) v))))
#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)))) (.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)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (/ 1 (/ (/ (+ 1 e) e) (+ (* (/ e (+ 1 e)) 1/2) -1/6)))) (/ e (+ 1 e))) (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 v) (+ 1 e)) #s(approx (* v (- e (* e e))) (.f64 e (.f64 e (-.f64 (/.f64 v e) 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)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 #s(approx (+ e 1) #s(literal 1 binary64)) (*.f64 e v))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64)))) v (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) (fma.f64 v (.f64 v (fma.f64 e #s(literal -1/6 binary64) (.f64 (.f64 e e) #s(literal 2/3 binary64)))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e (.f64 #s(approx ( (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (.f64 e #s(literal -1/6 binary64))) (.f64 v (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.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)) (.f64 v (*.f64 v v)) v))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (/.f64 (fma.f64 (.f64 v v) (.f64 e #s(literal -1/3 binary64)) e) v)))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (neg.f64 (/.f64 (.f64 e (fma.f64 v (.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))) v))))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v #s(approx (* v (+ (* e -1/2) (+ (* e 1/6) 1/6))) (.f64 e (.f64 v #s(literal -1/3 binary64)))) (+.f64 e #s(literal 1 binary64))) v))) 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 (.f64 e (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/6 binary64)) (.f64 e (fma.f64 v (.f64 v #s(literal 1/2 binary64)) (fma.f64 (.f64 v v) #s(literal 1/6 binary64) #s(literal -1 binary64))))) e))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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))) e)
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) e)) v)) e))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (.f64 v #s(approx (+ ( e -1/2) (+ (* e 1/6) 1/6)) (*.f64 e (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/6 binary64) e))))) (+.f64 e #s(literal 1 binary64))) v))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v #s(approx (* v (+ (* e -1/2) (+ (* e 1/6) 1/6))) (.f64 e (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (.f64 v #s(literal -1/3 binary64))))) (+.f64 e #s(literal 1 binary64))) v))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)))
#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)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e (.f64 (.f64 v v) (.f64 (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) (.f64 v (.f64 v v)) (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 (.f64 (.f64 v v) e) (+.f64 #s(literal 1 binary64) e)) (.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) v) (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (.f64 e (+.f64 (fma.f64 v #s(literal -1/3 binary64) (fma.f64 v (/.f64 #s(literal 1/6 binary64) e) (/.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (.f64 e v))))))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (.f64 (.f64 v v) (fma.f64 e (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 e (.f64 v (.f64 v (+.f64 e #s(literal 1 binary64))))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (/ 1 (/ (/ (+ 1 e) e) (+ (* (/ e (+ 1 e)) 1/2) -1/6)))) (/ e (+ 1 e))) (.f64 (.f64 v v) (fma.f64 e (/.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal -1/6 binary64)) (+.f64 e #s(literal 1 binary64))) (/.f64 e (.f64 (.f64 (+.f64 e #s(literal 1 binary64)) v) v)))))))
(.f64 #s(approx (/ 1 (/ (+ ( e (cos v)) 1) (sin v))) (fma.f64 (.f64 v (.f64 v (neg.f64 v))) (fma.f64 e (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (/.f64 v (+.f64 e #s(literal 1 binary64))))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 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 1/120 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))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) e))) v)))

Outputs

(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v #s(approx (* v (+ (* e -1/2) (+ (* e 1/6) 1/6))) (*.f64 e (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (*.f64 v #s(literal -1/3 binary64))))) (+.f64 e #s(literal 1 binary64))) v))) e)

Calls

3 calls:

15.0ms	v
14.0ms	e
14.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
49.5%	1	`e`
49.5%	1	`v`
49.5%	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)

regimes35.0ms (0.4%)

Memory

-11.4MiB live, 109.2MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
49.5%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
49.5%	1	`e`
49.5%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes32.0ms (0.4%)

Memory

21.4MiB live, 100.7MiB 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)) #s(approx (* v (- e (* e e))) (neg.f64 (.f64 e (.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v #s(approx (- e ( e e)) (*.f64 e (neg.f64 e))))))
#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)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (.f64 e v) (.f64 (neg.f64 (*.f64 e e)) v))))
#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)))) (.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)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (/ 1 (/ (/ (+ 1 e) e) (+ (* (/ e (+ 1 e)) 1/2) -1/6)))) (/ e (+ 1 e))) (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 v) (+ 1 e)) #s(approx (* v (- e (* e e))) (.f64 e (.f64 e (-.f64 (/.f64 v e) 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)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 #s(approx (+ e 1) #s(literal 1 binary64)) (*.f64 e v))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (*.f64 e #s(literal -1/6 binary64)))) v (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) (fma.f64 v (.f64 v (fma.f64 e #s(literal -1/6 binary64) (.f64 (.f64 e e) #s(literal 2/3 binary64)))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (fma.f64 (/.f64 v (+.f64 e #s(literal 1 binary64))) e (.f64 #s(approx ( (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (.f64 e #s(literal -1/6 binary64))) (.f64 v (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) v) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.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)) (.f64 v (*.f64 v v)) v))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (/.f64 (fma.f64 (.f64 v v) (.f64 e #s(literal -1/3 binary64)) e) v)))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (neg.f64 (/.f64 (.f64 e (fma.f64 v (.f64 v #s(literal 1/3 binary64)) #s(literal -1 binary64))) v))))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v #s(approx (* v (+ (* e -1/2) (+ (* e 1/6) 1/6))) (.f64 e (.f64 v #s(literal -1/3 binary64)))) (+.f64 e #s(literal 1 binary64))) v))) 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 (.f64 e (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (fma.f64 e (fma.f64 v (.f64 v #s(literal -1/6 binary64)) (.f64 e (fma.f64 v (.f64 v #s(literal 1/2 binary64)) (fma.f64 (.f64 v v) #s(literal 1/6 binary64) #s(literal -1 binary64))))) e))))

Outputs
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
49.5%	1	`e`
49.5%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
49.5%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes26.0ms (0.3%)

Memory

-36.6MiB live, 84.1MiB allocated

Counts

26 → 2

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
48.4%	1	`e`
48.4%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
49.9%	2	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes14.0ms (0.2%)

Memory

5.6MiB live, 45.2MiB allocated

Counts

19 → 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)) #s(approx (* v (- e (* e e))) (neg.f64 (.f64 e (.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v #s(approx (- e ( e e)) (*.f64 e (neg.f64 e))))))
#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)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (.f64 e v) (.f64 (neg.f64 (*.f64 e e)) v))))
#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)))) (.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)))) (.f64 v #s(approx (+ ( (* v v) (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6))) (/ e (+ 1 e))) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (+ ( (* v v) (/ 1 (/ (/ (+ 1 e) e) (+ (* (/ e (+ 1 e)) 1/2) -1/6)))) (/ e (+ 1 e))) (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 v) (+ 1 e)) #s(approx (* v (- e (* e e))) (.f64 e (.f64 e (-.f64 (/.f64 v e) 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)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) #s(approx (/ (+ (* v (* v (+ (* e -1/2) (+ (* e 1/6) 1/6)))) (+ e 1)) v) (*.f64 v (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 #s(approx (+ e 1) #s(literal 1 binary64)) (*.f64 e v))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v))) e)
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#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
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
48.4%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
48.4%	1	`v`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes8.0ms (0.1%)

Memory

28.9MiB live, 28.9MiB 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)) #s(approx (* v (- e (* e e))) (neg.f64 (.f64 e (.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 v #s(approx (- e ( e e)) (*.f64 e (neg.f64 e))))))
#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 v (-.f64 e (.f64 e e)))))

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
48.0%	1	`e`
48.0%	1	`v`
48.0%	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)

regimes9.0ms (0.1%)

Memory

-21.5MiB live, 23.7MiB allocated

Accuracy

Total -12.6b remaining (-37.4%)

Threshold costs -12.6b (-37.4%)

Counts

3 → 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)) #s(approx (* v (- e (* e e))) (neg.f64 (*.f64 e (*.f64 e v))))))

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

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

Calls

3 calls:

5.0ms	v
2.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
2.0ms	e

Results

Accuracy	Segments	Branch
47.4%	1	`e`
47.4%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
47.4%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch12.0ms (0.1%)

Memory

-4.7MiB live, 35.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5017341283962.994	8663461589384.288

Samples

8.0ms

64×

valid

Compiler

Compiled 140 to 82 computations (41.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cos: 2.0ms (30.6% of total)

ival-sin: 2.0ms (30.6% of total)

ival-mult: 1.0ms (15.3% of total)

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

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

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

exact: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Memory

-6.5MiB live, 33.1MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative_binary64`
16×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	341
1	136	341
2	153	341
3	161	341
4	165	341
5	166	341

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) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) 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 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v #s(approx (* v (+ (* e -1/2) (+ (* e 1/6) 1/6))) (.f64 e (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (.f64 v #s(literal -1/3 binary64))))) (+.f64 e #s(literal 1 binary64))) v))) e)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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))) e)
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v)))
(if (<=.f64 v #s(literal 7500000000000 binary64)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* v (- e (* e e))) (neg.f64 (.f64 e (.f64 e v)))))))
#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 v (-.f64 e (.f64 e e)))))
#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) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
(/.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 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v #s(approx (* v (+ (* e -1/2) (+ (* e 1/6) 1/6))) (.f64 e (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (.f64 v #s(literal -1/3 binary64))))) (+.f64 e #s(literal 1 binary64))) v))) e)
(.f64 e (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v #s(approx (* v (+ (* e -1/2) (+ (* e 1/6) 1/6))) (.f64 e (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (.f64 v #s(literal -1/3 binary64))))) (+.f64 e #s(literal 1 binary64))) v))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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))) e)
(.f64 e (/.f64 #s(literal 1 binary64) #s(approx (/ (+ ( e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 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 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))) v)))
(if (<=.f64 v #s(literal 7500000000000 binary64)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* v (- e (* e e))) (neg.f64 (.f64 e (.f64 e v)))))))
(if (<=.f64 v #s(literal 7500000000000 binary64)) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) #s(approx (* (/ e (+ 1 e)) (+ (* 1/2 (/ e (+ 1 e))) -1/6)) (.f64 e #s(literal -1/6 binary64))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))) #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) #s(approx (* v (- e (* e e))) (.f64 e (.f64 v (neg.f64 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)))) (/.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 v (-.f64 e (.f64 e e)))))
#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)))

soundness1.2s (13.2%)

Memory

32.3MiB live, 1 352.8MiB allocated

Rules

14 120×	`lower-fma.f64`
14 120×	`lower-fma.f32`
12 612×	`lower-fma.f64`
12 612×	`lower-fma.f32`
10 724×	`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	27	145
0	44	140
1	152	140
2	929	140
0	8679	140
0	604	7174
1	1908	6863
2	5887	6841
0	8228	6392
0	673	8677
1	2115	8195
2	6373	8167
0	8017	7637
0	415	5652
1	1336	5436
2	4153	5216
0	8674	4953
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×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 421 to 194 computations (53.9% saved)

preprocess87.0ms (1%)

Memory: -30.9MiB live, 286.0MiB allocated
Remove: (negabs v)
Compiler: Compiled 536 to 256 computations (52.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze7.0ms (0.1%)

sample1.4s (15.9%)

explain149.0ms (1.7%)

preprocess71.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize38.0ms (0.4%)

series18.0ms (0.2%)

simplify280.0ms (3.1%)

rewrite287.0ms (3.2%)

eval59.0ms (0.7%)

prune93.0ms (1%)

simplify395.0ms (4.4%)

localize122.0ms (1.4%)

series35.0ms (0.4%)

simplify309.0ms (3.5%)

rewrite377.0ms (4.2%)

eval281.0ms (3.1%)

prune288.0ms (3.2%)

simplify238.0ms (2.7%)

localize146.0ms (1.6%)

series34.0ms (0.4%)

simplify292.0ms (3.3%)

rewrite326.0ms (3.6%)

eval246.0ms (2.8%)

prune289.0ms (3.2%)

simplify189.0ms (2.1%)

localize170.0ms (1.9%)

series45.0ms (0.5%)

simplify302.0ms (3.4%)

rewrite284.0ms (3.2%)

eval192.0ms (2.1%)

prune232.0ms (2.6%)

regimes66.0ms (0.7%)

regimes53.0ms (0.6%)

regimes52.0ms (0.6%)

regimes49.0ms (0.5%)

regimes49.0ms (0.5%)

regimes47.0ms (0.5%)

regimes35.0ms (0.4%)

regimes32.0ms (0.4%)

regimes26.0ms (0.3%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch12.0ms (0.1%)

simplify12.0ms (0.1%)

soundness1.2s (13.2%)

preprocess87.0ms (1%)

end0.0ms (0%)

Profiling