Metrics for Trigonometry A

analyze7.0ms (0.1%)

Memory

-24.5MiB live, 14.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.2s (13.1%)

Memory

72.1MiB live, 2 505.7MiB allocated

Samples

894.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 678.0ms

ival-sin: 244.0ms (36% of total)

ival-cos: 163.0ms (24.1% of total)

ival-mult: 111.0ms (16.4% of total)

ival-div: 50.0ms (7.4% of total)

ival-<=: 44.0ms (6.5% of total)

ival-add: 41.0ms (6.1% of total)

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

exact: 10.0ms (1.5% of total)

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

Bogosity

preprocess78.0ms (0.9%)

Memory

0.1MiB live, 79.5MiB 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)

explain173.0ms (1.9%)

Memory

-5.9MiB live, 272.9MiB 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

84.0ms

512×

valid

Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 39.0ms (57.1% of total)

ival-sin: 13.0ms (19% of total)

ival-cos: 10.0ms (14.6% of total)

ival-div: 3.0ms (4.4% of total)

ival-add: 2.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.3MiB live, 2.3MiB 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)

simplify5.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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)

localize42.0ms (0.5%)

Memory

-17.8MiB live, 99.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 v)
✓	accuracy	100.0%	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
✓	accuracy	99.9%	(*.f64 e (sin.f64 v))
✓	accuracy	99.8%	(*.f64 e (cos.f64 v))

Samples

32.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-cos: 7.0ms (30.8% of total)

ival-sin: 6.0ms (26.4% of total)

ival-div: 5.0ms (22% of total)

ival-mult: 4.0ms (17.6% of total)

ival-add: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.1%)

Memory

-4.5MiB live, 34.4MiB allocated

Counts

5 → 108

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>) () ())

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>) () ())) ())

Calls

27 calls:

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

simplify408.0ms (4.5%)

Memory

26.2MiB live, 894.4MiB allocated

Algorithm

1×	egg-herbie

Rules

15 582×	`lower-fma.f64`
15 582×	`lower-fma.f32`
6 122×	`lower-*.f64`
6 122×	`lower-*.f32`
3 736×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	1153
1	554	1138
2	1582	1106
3	5255	1024
0	8371	956

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 106

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))

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

rewrite334.0ms (3.6%)

Memory

-2.7MiB live, 715.2MiB allocated

Algorithm

1×	batch-egg-rewrite

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	27
0	15	27
1	42	27
2	241	27
3	2097	27
0	8370	25

Stop Event

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

Counts

5 → 344

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))

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)))
(-.f64 (/.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))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (neg.f64 (*.f64 e (cos.f64 v))) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.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))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.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 (pow.f64 (.f64 e (cos.f64 v)) #s(literal 6 binary64)) (-.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))))
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(.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 (neg.f64 (.f64 e (sin.f64 v))) (/.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))) (neg.f64 (.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 (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 (.f64 e (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 (.f64 e (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) (neg.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)) (+.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 (neg.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))) (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) (neg.f64 (*.f64 e (sin.f64 v))))
(neg.f64 (neg.f64 (*.f64 e (sin.f64 v))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (.f64 e (sin.f64 v))) #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) (neg.f64 (.f64 e (sin.f64 v)))))))
(.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) (neg.f64 (.f64 e (sin.f64 v))))
(*.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))))

eval75.0ms (0.8%)

Memory: 9.3MiB live, 167.8MiB allocated
Compiler: Compiled 13 419 to 1 234 computations (90.8% saved)

prune67.0ms (0.7%)

Memory

-14.2MiB live, 181.9MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	438	12	450
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	439	12	451

Accuracy

99.9%

Counts

451 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.9%	(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))
▶	99.9%	(/.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)))
▶	59.7%	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
	99.5%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	99.7%	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
▶	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
	71.7%	(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)))
	99.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
	54.5%	#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 (/.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)))))
▶	54.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
▶	98.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))

Compiler

Compiled 396 to 240 computations (39.4% saved)

simplify262.0ms (2.9%)

Memory

26.6MiB live, 533.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	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)
✓	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) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
✓	cost-diff	320	(fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
✓	cost-diff	0	(sin.f64 v)
✓	cost-diff	0	(*.f64 e (sin.f64 v))
✓	cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) e)
✓	cost-diff	0	(/.f64 e (+.f64 #s(literal 1 binary64) e))
✓	cost-diff	0	(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
✓	cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
✓	cost-diff	0	(.f64 (sin.f64 v) (.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
✓	cost-diff	128	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))
✓	cost-diff	128	(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))
✓	cost-diff	128	(/.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)))

Rules

10 054×	`lower-fma.f32`
10 044×	`lower-fma.f64`
4 238×	`lower-*.f32`
4 216×	`lower-*.f64`
1 388×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	353
0	79	351
1	147	346
2	349	346
3	1002	346
4	2441	346
5	3308	346
6	5250	346
0	8435	335

Stop Event

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

Calls

Call 1

Inputs
(/.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)))
(.f64 (sin.f64 v) (.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(sin.f64 v)
v
(.f64 e (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
e
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(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))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))
(cos.f64 (+.f64 v v))
(+.f64 v v)
(neg.f64 (*.f64 e e))
(*.f64 e e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
v
(/.f64 e (+.f64 #s(literal 1 binary64) e))
e
(+.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(*.f64 e (sin.f64 v))
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e)))
#s(literal 1 binary64)
#s(approx (* e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))
(fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e)
(*.f64 v v)
(fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
#s(literal -1/2 binary64)
(.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(.f64 e (.f64 v v))
(fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
(*.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)

Outputs
(/.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)))
(/.f64 (.f64 (sin.f64 v) (.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
(.f64 (sin.f64 v) (.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v)))))
(sin.f64 v)
v
(.f64 e (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(-.f64 e (.f64 e (.f64 e (cos.f64 v))))
e
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
#s(literal 1 binary64)
(*.f64 e (cos.f64 v))
(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))
(fma.f64 (*.f64 e e) (fma.f64 (cos.f64 (+.f64 v v)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))
(cos.f64 (+.f64 v v))
(+.f64 v v)
(neg.f64 (*.f64 e e))
(*.f64 e (neg.f64 e))
(*.f64 e e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64)))))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(*.f64 e (/.f64 v (+.f64 e #s(literal 1 binary64))))
v
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(/.f64 e (+.f64 e #s(literal 1 binary64)))
e
(+.f64 #s(literal 1 binary64) e)
(+.f64 e #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
e
(sin.f64 v)
v
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 (.f64 (sin.f64 v) e) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 e (.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)) e))))
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
e
(sin.f64 v)
v
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e)))
(+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (.f64 e (.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)) e)))
#s(literal 1 binary64)
#s(approx (* e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))
#s(approx (* e (cos v)) (fma.f64 (.f64 e (.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)) e))
(fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e)
(fma.f64 (.f64 e (.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)) e)
(*.f64 v v)
(fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
(.f64 e (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 -1/2 binary64)
(.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(.f64 v (.f64 v (.f64 e (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))
(.f64 e (.f64 v v))
(fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
(*.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)

localize146.0ms (1.6%)

Memory

-6.9MiB live, 345.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 v)
✓	accuracy	100.0%	(sin.f64 v)
✓	accuracy	100.0%	(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓	accuracy	99.9%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
✓	accuracy	99.9%	(*.f64 e (sin.f64 v))
✓	accuracy	99.5%	(fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
✓	accuracy	90.6%	(.f64 e (.f64 v v))
✓	accuracy	54.8%	#s(approx (* e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))
✓	accuracy	100.0%	(sin.f64 v)
✓	accuracy	99.9%	(*.f64 e (sin.f64 v))
✓	accuracy	98.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) e)
✓	accuracy	100.0%	(/.f64 e (+.f64 #s(literal 1 binary64) e))
✓	accuracy	100.0%	(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
✓	accuracy	54.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
✓	accuracy	100.0%	(.f64 e (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
✓	accuracy	99.9%	(.f64 (sin.f64 v) (.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
✓	accuracy	99.8%	(*.f64 e (cos.f64 v))
✓	accuracy	99.5%	(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))

Samples

86.0ms

256×

valid

Compiler

Compiled 291 to 42 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 22.0ms (33.8% of total)

ival-add: 10.0ms (15.4% of total)

ival-cos: 9.0ms (13.8% of total)

const: 8.0ms (12.3% of total)

ival-div: 7.0ms (10.8% of total)

ival-sin: 6.0ms (9.2% of total)

ival-sub: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series50.0ms (0.5%)

Memory

39.7MiB live, 115.5MiB allocated

Counts

22 → 456

Calls

Call 1

Inputs
#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (patch (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 v) (.f64 e (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))) (patch (.f64 (sin.f64 v) (.f64 e (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))) #<representation binary64>) () ())
#s(alt (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (patch (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())
#s(alt (/.f64 e (+.f64 #s(literal 1 binary64) e)) (patch (/.f64 e (+.f64 #s(literal 1 binary64) e)) #<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 (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (patch (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e)))) #<representation binary64>) () ())
#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 (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 (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())
#s(alt (.f64 e (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (.f64 e (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())
#s(alt #s(approx (* e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e)) (patch #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e)) #<representation binary64>) () ())
#s(alt (.f64 e (.f64 v v)) (patch (.f64 e (.f64 v v)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())

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

114 calls:

Time	Variable		Point	Expression
4.0ms	v	@	0	(/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1))
3.0ms	e	@	-inf	(/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1))
3.0ms	v	@	inf	(/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1))
2.0ms	v	@	-inf	(/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1))
2.0ms	v	@	0	(* (sin v) (* e (- 1 (* e (cos v)))))

simplify839.0ms (9.2%)

Memory

-173.7MiB live, 807.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 744×	`lower-fma.f64`
11 744×	`lower-fma.f32`
7 014×	`lower-*.f64`
7 014×	`lower-*.f32`
3 668×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	560	7058
1	1794	6815
2	5735	6764
0	8253	6390

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 447

Calls

Call 1

Inputs
(/ (* e (* v (- 1 e))) (+ 1 (* -1 (pow e 2))))
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (/ (* e (- 1 e)) (+ 1 (* -1 (pow e 2))))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (+ 1 (* -1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (+ 1 (* -1 (pow e 2))))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2))))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (/ (* e (- 1 e)) (+ 1 (* -1 (pow e 2))))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/5040 (- 1 e)) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e))))) (+ 1 (* -1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (+ 1 (* -1 (pow e 2))))) (+ (* 2/45 (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (+ 1 (* -1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (+ 1 (* -1 (pow e 2))))))) (+ 1 (* -1 (pow e 2)))))))) (/ (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e))))) (+ 1 (* -1 (pow e 2))))) (+ (* -1/3 (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2))) (/ (* (pow e 2) (- (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2)))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (+ 1 (* -1 (pow e 2))))))) (/ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (+ 1 (* -1 (pow e 2))))) (/ (* (pow e 3) (- 1 e)) (pow (+ 1 (* -1 (pow e 2))) 2)))) (/ (* e (- 1 e)) (+ 1 (* -1 (pow e 2))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))))))
(/ (* e (* (sin v) (- 1 (* e (cos v))))) (+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))
(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(- (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* -1 (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))))
(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+ (* -1 (/ (+ (* -1 (/ (* (cos v) (sin v)) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) e)) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+ 1 (* -1 (pow e 2)))
(+ 1 (+ (* -1 (pow e 2)) (* (pow e 2) (pow v 2))))
(+ 1 (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/3 (* (pow e 2) (pow v 2))) (pow e 2)))))
(+ 1 (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* (pow v 2) (+ (* -1/3 (pow e 2)) (* 2/45 (* (pow e 2) (pow v 2))))) (pow e 2)))))
(+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v))))))))
(+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v))))))))
(+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v))))))))
(+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v))))))))
1
(+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(+ 1 (* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(* (pow e 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (/ 1 (pow e 2))))
(* (pow e 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (/ 1 (pow e 2))))
(* (pow e 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (/ 1 (pow e 2))))
(* -1 (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(* (pow e 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (/ 1 (pow e 2))))
(* (pow e 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (/ 1 (pow e 2))))
(* (pow e 2) (+ (* -1 (+ 1/2 (* 1/2 (cos (* 2 v))))) (/ 1 (pow e 2))))
1
(+ 1 (* -1 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(* e (* v (- 1 e)))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (- 1 e)) (* 1/2 e)))) (* e (- 1 e))))
(* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 1 e)))))) (* e (+ (* -1/6 (- 1 e)) (* 1/2 e)))))))
(* v (+ (* e (- 1 e)) (* (pow v 2) (+ (* e (+ (* -1/6 (- 1 e)) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (- 1 e)) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (- 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) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* e (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) (+ 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))
(* 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
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
1
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
1
(- 1 (/ 1 e))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 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))))
(* 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 (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))
(* e (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))
(* e (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))
(* e (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))
(* e (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))
(* e (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))
(* e (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))
(* e (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))
(* -1 (* e (+ 1/2 (* -1 (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2))))))))
(* -1 (* e (+ 1/2 (* -1 (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2))))))))
(* -1 (* e (+ 1/2 (* -1 (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2))))))))
(* -1 (* e (+ 1/2 (* -1 (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2))))))))
(* -1/2 e)
(+ (* -1/2 e) (* 1/24 (* e (pow v 2))))
(+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))
(+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))
(* -1/720 (* e (pow v 4)))
(* (pow v 4) (+ (* -1/720 e) (* 1/24 (/ e (pow v 2)))))
(* (pow v 4) (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (* 1/24 (/ e (pow v 2))))))
(* (pow v 4) (+ (* -1/2 (/ e (pow v 4))) (+ (* -1/720 e) (* 1/24 (/ e (pow v 2))))))
(* -1/720 (* e (pow v 4)))
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1
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(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)

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

rewrite328.0ms (3.6%)

Memory

39.5MiB live, 752.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 594×	`lower-*.f32`
4 572×	`lower-*.f64`
4 512×	`lower-fma.f32`
4 502×	`lower-fma.f64`
4 260×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	235
0	79	249
1	300	204
2	2237	204
0	8170	201

Stop Event

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

Counts

22 → 635

Calls

Call 1

Inputs
(/.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)))
(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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))
(.f64 (sin.f64 v) (.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(+.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))
(sin.f64 v)
(fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(*.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)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(*.f64 e (cos.f64 v))
(.f64 e (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
#s(approx (* e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))
(.f64 e (.f64 v v))
(fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(cos.f64 v)

Outputs
(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 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))) (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e))))) (/.f64 (.f64 (sin.f64 v) (.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e))))))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(neg.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e))))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 v) e)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 v v) #s(literal -1/17280 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 v (.f64 v #s(literal -1/720 binary64)) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/518400 binary64)))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (.f64 v (.f64 v #s(literal -1/720 binary64))))))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (.f64 v v) #s(literal -1/17280 binary64)))) (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 v (.f64 v #s(literal -1/720 binary64)) #s(literal -1/24 binary64)) (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/518400 binary64) (-.f64 #s(literal 1/576 binary64) (.f64 (*.f64 v v) #s(literal -1/17280 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/518400 binary64) #s(literal -1/576 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))
(cos.f64 v)

eval154.0ms (1.7%)

Memory: 28.6MiB live, 399.7MiB allocated
Compiler: Compiled 32 762 to 2 448 computations (92.5% saved)

prune176.0ms (1.9%)

Memory

-14.2MiB live, 497.4MiB allocated

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	1 130	27	1 157
Fresh	4	3	7
Picked	3	2	5
Done	0	0	0
Total	1 137	32	1 169

Accuracy

99.9%

Counts

1 169 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.9%	(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))
	59.7%	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) #s(approx (+ ( e -1/2) (* (* e (* v v)) (+ (* (* v v) -1/720) 1/24))) (.f64 (.f64 v v) (.f64 e (.f64 (*.f64 v v) #s(literal -1/720 binary64))))) e))))
	54.3%	(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
	54.3%	(/.f64 (.f64 e #s(approx (sin v) (fma.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64))) v))) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
	71.5%	(/.f64 #s(approx (* (sin v) (* e (- 1 (* e (cos v))))) (.f64 (.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) 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)))
	54.5%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (.f64 e (.f64 (.f64 v v) #s(literal 1/120 binary64)))) e))) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
	55.4%	(/.f64 #s(approx (* e (sin v)) (.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
	99.7%	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
▶	99.5%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
▶	99.8%	(.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
	54.5%	(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (fma.f64 v (.f64 (.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)
	71.7%	(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)))
	99.1%	#s(approx (/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1)) (.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v))))))
	54.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
	54.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
	53.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
	54.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
	54.5%	#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 (/.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)))))
	54.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 (-.f64 (.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
	54.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
	54.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
	2.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
✓	98.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
	53.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
▶	53.4%	#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))))
▶	53.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
	2.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
	54.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))))
▶	53.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
	53.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))

Compiler

Compiled 1 179 to 630 computations (46.6% saved)

simplify305.0ms (3.3%)

Memory

-4.9MiB live, 474.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Program
✓	cost-diff	#s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))
✓	cost-diff	(sin.f64 v)
✓	cost-diff	(/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
✓	cost-diff	(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
✓	cost-diff	(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)
✓	cost-diff	#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))
✓	cost-diff	(.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)))
✓	cost-diff	#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))))
✓	cost-diff	(fma.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64))) v)
✓	cost-diff	#s(approx (sin v) (fma.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64))) v))
✓	cost-diff	(.f64 e #s(approx (sin v) (fma.f64 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v)))
✓	cost-diff	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
✓	cost-diff	(*.f64 e v)
✓	cost-diff	#s(approx (* v (/ e (+ 1 e))) (*.f64 e v))
✓	cost-diff	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
✓	cost-diff	(sin.f64 v)
✓	cost-diff	(/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
✓	cost-diff	(.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
✓	cost-diff	(.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)

Rules

6 760×	`lower-fma.f32`
6 746×	`lower-fma.f64`
3 810×	`lower-*.f32`
3 786×	`lower-*.f64`
1 334×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	389
0	86	379
1	150	375
2	280	375
3	567	375
4	1049	375
5	1840	375
6	2821	375
7	3851	375
8	4885	375
9	5723	375
10	6284	375
11	6762	375
12	7219	375
13	7273	375
14	7400	375
15	7737	375
0	8086	365

Stop Event

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

Calls

Call 1

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

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

localize186.0ms (2%)

Memory

-9.6MiB live, 439.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 v)
✓	accuracy	100.0%	(/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
✓	accuracy	99.9%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
✓	accuracy	99.6%	#s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))
✓	accuracy	99.9%	(.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
✓	accuracy	99.6%	(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
✓	accuracy	98.2%	#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))))
✓	accuracy	54.8%	#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))
✓	accuracy	99.8%	(.f64 v (.f64 v #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 v #s(literal -1/6 binary64))
✓	accuracy	98.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
✓	accuracy	54.4%	#s(approx (sin v) (fma.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64))) v))
✓	accuracy	100.0%	(*.f64 e v)
✓	accuracy	98.2%	#s(approx (* v (/ e (+ 1 e))) (*.f64 e v))
✓	accuracy	54.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
✓	accuracy	100.0%	(sin.f64 v)
✓	accuracy	100.0%	(/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
✓	accuracy	99.5%	(fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64))

Samples

105.0ms

256×

valid

Compiler

Compiled 289 to 48 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 28.0ms (33.7% of total)

ival-cos: 19.0ms (22.9% of total)

ival-add: 13.0ms (15.6% of total)

const: 9.0ms (10.8% of total)

ival-sin: 8.0ms (9.6% of total)

ival-div: 6.0ms (7.2% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.5%)

Memory

-4.6MiB live, 114.9MiB allocated

Counts

23 → 432

Calls

Call 1

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

Outputs
#s(alt (/ (* e (* v (- e 1))) (- (pow e 2) 1)) (taylor 0 v) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) (patch (.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1)))) (taylor 0 v) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) (patch (.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1)))) (taylor 0 v) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) (patch (.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/144 e) (+ (* -1/240 e) (+ (* -1/720 e) (* -1/5040 (- e 1)))))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (- (pow e 2) 1))) (+ (* -2/45 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))) (* 1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))))))) (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1)))) (taylor 0 v) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) (patch (.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1)) (taylor inf v) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) (patch (.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1)) (taylor inf v) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) (patch (.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1)) (taylor inf v) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) (patch (.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1)) (taylor inf v) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) (patch (.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1)) (taylor -inf v) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) (patch (.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1)) (taylor -inf v) (#s(alt (.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) (patch (.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e) #<representation binary64>) () ())) ())
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#s(alt (+ 1/2 (* 1/2 (cos (neg (* -2 v))))) (taylor -inf v) (#s(alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos (neg (* -2 v))))) (taylor -inf v) (#s(alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos (neg (* -2 v))))) (taylor -inf v) (#s(alt (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 v) (taylor 0 v) (#s(alt (.f64 v #s(literal -1/6 binary64)) (patch (.f64 v #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 v) (taylor 0 v) (#s(alt (.f64 v #s(literal -1/6 binary64)) (patch (.f64 v #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 v) (taylor 0 v) (#s(alt (.f64 v #s(literal -1/6 binary64)) (patch (.f64 v #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 v) (taylor 0 v) (#s(alt (.f64 v #s(literal -1/6 binary64)) (patch (.f64 v #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 v) (taylor inf v) (#s(alt (.f64 v #s(literal -1/6 binary64)) (patch (.f64 v #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 v) (taylor inf v) (#s(alt (.f64 v #s(literal -1/6 binary64)) (patch (.f64 v #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 v) (taylor inf v) (#s(alt (.f64 v #s(literal -1/6 binary64)) (patch (.f64 v #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 v) (taylor inf v) (#s(alt (.f64 v #s(literal -1/6 binary64)) (patch (.f64 v #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 v) (taylor -inf v) (#s(alt (.f64 v #s(literal -1/6 binary64)) (patch (.f64 v #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 v) (taylor -inf v) (#s(alt (.f64 v #s(literal -1/6 binary64)) (patch (.f64 v #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 v) (taylor -inf v) (#s(alt (.f64 v #s(literal -1/6 binary64)) (patch (.f64 v #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 v) (taylor -inf v) (#s(alt (.f64 v #s(literal -1/6 binary64)) (patch (.f64 v #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow v 2)) (taylor 0 v) (#s(alt (.f64 v (.f64 v #s(literal -1/6 binary64))) (patch (.f64 v (.f64 v #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow v 2)) (taylor 0 v) (#s(alt (.f64 v (.f64 v #s(literal -1/6 binary64))) (patch (.f64 v (.f64 v #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow v 2)) (taylor 0 v) (#s(alt (.f64 v (.f64 v #s(literal -1/6 binary64))) (patch (.f64 v (.f64 v #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow v 2)) (taylor 0 v) (#s(alt (.f64 v (.f64 v #s(literal -1/6 binary64))) (patch (.f64 v (.f64 v #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow v 2)) (taylor inf v) (#s(alt (.f64 v (.f64 v #s(literal -1/6 binary64))) (patch (.f64 v (.f64 v #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow v 2)) (taylor inf v) (#s(alt (.f64 v (.f64 v #s(literal -1/6 binary64))) (patch (.f64 v (.f64 v #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow v 2)) (taylor inf v) (#s(alt (.f64 v (.f64 v #s(literal -1/6 binary64))) (patch (.f64 v (.f64 v #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow v 2)) (taylor inf v) (#s(alt (.f64 v (.f64 v #s(literal -1/6 binary64))) (patch (.f64 v (.f64 v #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow v 2)) (taylor -inf v) (#s(alt (.f64 v (.f64 v #s(literal -1/6 binary64))) (patch (.f64 v (.f64 v #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow v 2)) (taylor -inf v) (#s(alt (.f64 v (.f64 v #s(literal -1/6 binary64))) (patch (.f64 v (.f64 v #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow v 2)) (taylor -inf v) (#s(alt (.f64 v (.f64 v #s(literal -1/6 binary64))) (patch (.f64 v (.f64 v #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow v 2)) (taylor -inf v) (#s(alt (.f64 v (.f64 v #s(literal -1/6 binary64))) (patch (.f64 v (.f64 v #s(literal -1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/120 (taylor 0 v) (#s(alt (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* -1/5040 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* -1/5040 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/120 (* -1/5040 (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow v 2)) (taylor inf v) (#s(alt (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) (taylor inf v) (#s(alt (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) (taylor inf v) (#s(alt (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) (taylor inf v) (#s(alt (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow v 2)) (taylor -inf v) (#s(alt (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) (taylor -inf v) (#s(alt (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) (taylor -inf v) (#s(alt (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) (taylor -inf v) (#s(alt (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 v) (taylor 0 v) (#s(alt (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1/120 (* -1/5040 (pow v 2)))) (taylor 0 v) (#s(alt (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1/120 (* -1/5040 (pow v 2)))) (taylor 0 v) (#s(alt (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1/120 (* -1/5040 (pow v 2)))) (taylor 0 v) (#s(alt (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow v 3)) (taylor inf v) (#s(alt (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 3) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) (taylor inf v) (#s(alt (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 3) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) (taylor inf v) (#s(alt (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 3) (- (* 1/120 (/ 1 (pow v 2))) 1/5040)) (taylor inf v) (#s(alt (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow v 3)) (taylor -inf v) (#s(alt (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (- 1/5040 (* 1/120 (/ 1 (pow v 2)))))) (taylor -inf v) (#s(alt (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (- 1/5040 (* 1/120 (/ 1 (pow v 2)))))) (taylor -inf v) (#s(alt (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow v 3) (- 1/5040 (* 1/120 (/ 1 (pow v 2)))))) (taylor -inf v) (#s(alt (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (patch (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #<representation binary64>) () ())) ())

Calls

108 calls:

Time	Variable		Point	Expression
7.0ms	v	@	-inf	(* (* (/ (sin v) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)) (+ (* e (cos v)) -1)) e)
2.0ms	v	@	0	(* (* (/ (sin v) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)) (+ (* e (cos v)) -1)) e)
2.0ms	v	@	inf	(* (/ (sin v) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)) (+ (* e (cos v)) -1))
2.0ms	v	@	0	(* (/ (sin v) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)) (+ (* e (cos v)) -1))
1.0ms	v	@	inf	(* (* (/ (sin v) (+ (* (+ (* 1/2 (cos (+ v v))) 1/2) (* e e)) -1)) (+ (* e (cos v)) -1)) e)

simplify422.0ms (4.6%)

Memory

22.2MiB live, 971.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 984×	`lower-fma.f64`
8 984×	`lower-fma.f32`
6 866×	`lower-*.f64`
6 866×	`lower-*.f32`
3 420×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	642	8064
1	2002	7827
2	6508	7805
0	8038	7262

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 425

Calls

Call 1

Inputs
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/144 e) (+ (* -1/240 e) (+ (* -1/720 e) (* -1/5040 (- e 1)))))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (- (pow e 2) 1))) (+ (* -2/45 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))) (* 1/3 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))))))) (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1))) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))
(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (cos v) (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))))) (* -1 (* (sin v) (+ 1/2 (* 1/2 (cos (* 2 v))))))))))))
(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))))
(- (+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))) (* -1 (/ (* (cos v) (sin v)) (* (pow e 2) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))))
(/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v)))))
(+ (* -1 (/ (sin v) (* e (+ 1/2 (* 1/2 (cos (* 2 v))))))) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+ (* -1 (/ (+ (* -1 (/ (* (cos v) (sin v)) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2)))) (/ (* (cos v) (sin v)) (pow (+ 1/2 (* 1/2 (cos (* 2 v)))) 2))) e)) (/ (sin v) (+ 1/2 (* 1/2 (cos (* 2 v)))))) e)) (/ (* (cos v) (sin v)) (+ 1/2 (* 1/2 (cos (* 2 v))))))
(/ (* v (- e 1)) (- (pow e 2) 1))
(* v (- (+ (* (pow v 2) (- (+ (* -1/2 (/ e (- (pow e 2) 1))) (* -1/6 (/ (- e 1) (- (pow e 2) 1)))) (* -1 (/ (* (pow e 2) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ e (- (pow e 2) 1))) (/ 1 (- (pow e 2) 1))))
(* v (- (+ (* (pow v 2) (- (+ (* -1/2 (/ e (- (pow e 2) 1))) (+ (* -1/6 (/ (- e 1) (- (pow e 2) 1))) (* (pow v 2) (- (+ (* 1/120 (/ (- e 1) (- (pow e 2) 1))) (+ (* 1/24 (/ e (- (pow e 2) 1))) (* 1/12 (/ e (- (pow e 2) 1))))) (+ (* -1 (/ (* (pow e 2) (- (+ (* -1/2 (/ e (- (pow e 2) 1))) (* -1/6 (/ (- e 1) (- (pow e 2) 1)))) (* -1 (/ (* (pow e 2) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 2) (- e 1)) (pow (- (pow e 2) 1) 2)))))))) (* -1 (/ (* (pow e 2) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ e (- (pow e 2) 1))) (/ 1 (- (pow e 2) 1))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
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(* e (sin v))
(* e (sin v))
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(* 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))
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v
(* v (+ 1 (* -1/6 (pow v 2))))
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(* 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)
v
(* v (+ 1 (* -1/6 (pow v 2))))
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(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* -1/5040 (pow v 7))
(* (pow v 7) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 7) (- (* 1/120 (/ 1 (pow v 2))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(* (pow v 7) (- (+ (* 1/120 (/ 1 (pow v 2))) (/ 1 (pow v 6))) (+ 1/5040 (/ 1/6 (pow v 4)))))
(* -1/5040 (pow v 7))
(* -1 (* (pow v 7) (- 1/5040 (* 1/120 (/ 1 (pow v 2))))))
(* -1 (* (pow v 7) (- (+ 1/5040 (/ 1/6 (pow v 4))) (* 1/120 (/ 1 (pow v 2))))))
(* -1 (* (pow v 7) (- (+ 1/5040 (/ 1/6 (pow v 4))) (+ (* 1/120 (/ 1 (pow v 2))) (/ 1 (pow v 6))))))
(/ (* 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))))
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(/ (* 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)))
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(* 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))))
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(sin v)
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(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
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(/ (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))
1
(+ 1 (* e (cos v)))
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(+ 1 (* e (cos v)))
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1
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(* -1/6 v)
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(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
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(* -1/6 (pow v 2))
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(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
1/120
(+ 1/120 (* -1/5040 (pow v 2)))
(+ 1/120 (* -1/5040 (pow v 2)))
(+ 1/120 (* -1/5040 (pow v 2)))
(* -1/5040 (pow v 2))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
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(* -1/5040 (pow v 2))
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(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* 1/120 v)
(* v (+ 1/120 (* -1/5040 (pow v 2))))
(* v (+ 1/120 (* -1/5040 (pow v 2))))
(* v (+ 1/120 (* -1/5040 (pow v 2))))
(* -1/5040 (pow v 3))
(* (pow v 3) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 3) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 3) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* -1/5040 (pow v 3))
(* -1 (* (pow v 3) (- 1/5040 (* 1/120 (/ 1 (pow v 2))))))
(* -1 (* (pow v 3) (- 1/5040 (* 1/120 (/ 1 (pow v 2))))))
(* -1 (* (pow v 3) (- 1/5040 (* 1/120 (/ 1 (pow v 2))))))

Outputs
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/.f64 (.f64 e (-.f64 (.f64 e v) v)) (fma.f64 e e #s(literal -1 binary64)))
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
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(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (* 1/12 e)))) (- (pow e 2) 1)) (+ (* -1 (/ (* (pow e 2) (- (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1)) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (- (pow e 2) 1))) (* 1/3 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2)))))) (/ (* e (+ (* -1/2 e) (* -1/6 (- e 1)))) (- (pow e 2) 1))) (* -1 (/ (* (pow e 3) (- e 1)) (pow (- (pow e 2) 1) 2))))) (/ (* e (- e 1)) (- (pow e 2) 1))))
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(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (* 2 v))))) 1))
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(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))
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(/ (* e (* (sin v) (- (* e (cos v)) 1))) (- (* (pow e 2) (+ 1/2 (* 1/2 (cos (neg (* -2 v)))))) 1))
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#s(literal 1 binary64)
(+ 1 (* -1 (pow v 2)))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(+ 1 (* (pow v 2) (- (* 1/3 (pow v 2)) 1)))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 1/3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/3 (* -2/45 (pow v 2)))) 1)))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 v (*.f64 v #s(literal -2/45 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (* 2 v))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos (neg (* -2 v)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 v #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(.f64 (.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(.f64 (.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(.f64 (.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(.f64 (.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(.f64 (.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(.f64 (.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(.f64 (.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(.f64 (.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(.f64 (.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(.f64 (.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(.f64 (.f64 v v) #s(literal -1/6 binary64))
(* -1/6 (pow v 2))
(.f64 (.f64 v v) #s(literal -1/6 binary64))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* -1/5040 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/5040 (pow v 2))
(.f64 (.f64 v v) #s(literal -1/5040 binary64))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(.f64 v (.f64 v (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(.f64 v (.f64 v (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(.f64 v (.f64 v (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v)))))
(* -1/5040 (pow v 2))
(.f64 (.f64 v v) #s(literal -1/5040 binary64))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(.f64 v (.f64 v (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(.f64 v (.f64 v (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v)))))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(.f64 v (.f64 v (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 v v)))))
(* 1/120 v)
(*.f64 v #s(literal 1/120 binary64))
(* v (+ 1/120 (* -1/5040 (pow v 2))))
(.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* v (+ 1/120 (* -1/5040 (pow v 2))))
(.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* v (+ 1/120 (* -1/5040 (pow v 2))))
(.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(* -1/5040 (pow v 3))
(.f64 v (.f64 (*.f64 v v) #s(literal -1/5040 binary64)))
(* (pow v 3) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(.f64 (.f64 v v) (.f64 v (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 v v)))))
(* (pow v 3) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(.f64 (.f64 v v) (.f64 v (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 v v)))))
(* (pow v 3) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(.f64 (.f64 v v) (.f64 v (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 v v)))))
(* -1/5040 (pow v 3))
(.f64 v (.f64 (*.f64 v v) #s(literal -1/5040 binary64)))
(* -1 (* (pow v 3) (- 1/5040 (* 1/120 (/ 1 (pow v 2))))))
(.f64 (.f64 v (.f64 v v)) (neg.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 v v)))))
(* -1 (* (pow v 3) (- 1/5040 (* 1/120 (/ 1 (pow v 2))))))
(.f64 (.f64 v (.f64 v v)) (neg.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 v v)))))
(* -1 (* (pow v 3) (- 1/5040 (* 1/120 (/ 1 (pow v 2))))))
(.f64 (.f64 v (.f64 v v)) (neg.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 v v)))))

rewrite364.0ms (4%)

Memory

12.9MiB live, 963.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 330×	`lower-fma.f32`
5 316×	`lower-fma.f64`
4 438×	`lower-*.f32`
4 414×	`lower-*.f64`
4 402×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	319
0	86	311
1	306	276
2	2214	276
0	8643	264

Stop Event

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

Counts

23 → 493

Calls

Call 1

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

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

eval141.0ms (1.5%)

Memory: 1.0MiB live, 400.6MiB allocated
Compiler: Compiled 29 189 to 2 351 computations (91.9% saved)

prune176.0ms (1.9%)

Memory

10.5MiB live, 562.0MiB allocated

Pruning

38 alts after pruning (33 fresh and 5 done)

	Pruned	Kept	Total
New	918	12	930
Fresh	4	21	25
Picked	2	3	5
Done	0	2	2
Total	924	38	962

Accuracy

100.0%

Counts

962 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.9%	(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))
	54.3%	(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
	54.3%	(/.f64 (.f64 e #s(approx (sin v) (fma.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64))) v))) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
	71.5%	(/.f64 #s(approx (* (sin v) (* e (- 1 (* e (cos v))))) (.f64 (.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) 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)))
	54.5%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (.f64 e (.f64 (.f64 v v) #s(literal 1/120 binary64)))) e))) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
	55.4%	(/.f64 #s(approx (* e (sin v)) (.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
	99.3%	(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
▶	98.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
	93.7%	(.f64 (/.f64 (fma.f64 (.f64 e (cos.f64 v)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64)) (sin.f64 v)) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64)) (sin.f64 v)) #s(literal -1 binary64))) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64)) (sin.f64 v)))) e)
	69.8%	(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64)))))))) e)
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
✓	99.5%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
▶	99.6%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e)))) e)
	22.5%	(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64)) (sin.f64 v))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
	71.7%	(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)))
	99.1%	#s(approx (/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1)) (.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v))))))
	54.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
	54.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
	53.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
	54.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
	53.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (fma.f64 (.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) e))
	54.5%	#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 (/.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)))))
▶	54.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 (-.f64 (.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
	54.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
	54.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
	2.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
✓	98.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
	53.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
✓	53.4%	#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))))
	47.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) v)) #s(literal 1/36 binary64) (neg.f64 (.f64 v v))) (-.f64 (.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64)))) v)))))
	53.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) v))))
	30.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* v (* v -1/6))) v) (.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
	2.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
	54.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))))
▶	54.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (-.f64 v (.f64 e v)))))
✓	53.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
▶	53.1%	#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))))
	53.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))

Compiler

Compiled 1 623 to 752 computations (53.7% saved)

simplify273.0ms (3%)

Memory

16.3MiB live, 571.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 e #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
✓	cost-diff	0	(.f64 v (/.f64 e (/.f64 (-.f64 (.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
✓	cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 (-.f64 (.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
✓	cost-diff	128	(-.f64 (*.f64 e e) #s(literal 1 binary64))
✓	cost-diff	1088	(/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)
✓	cost-diff	0	(.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
✓	cost-diff	0	#s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)))
✓	cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
✓	cost-diff	0	(-.f64 v (*.f64 e v))
✓	cost-diff	0	(.f64 e (-.f64 v (.f64 e v)))
✓	cost-diff	0	#s(approx (* v (/ e (+ 1 e))) (.f64 e (-.f64 v (.f64 e v))))
✓	cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (-.f64 v (.f64 e v)))))
✓	cost-diff	0	(sin.f64 v)
✓	cost-diff	0	(/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e))))
✓	cost-diff	0	(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e)))) e)
✓	cost-diff	960	(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e))

Rules

8 112×	`lower-fma.f32`
8 110×	`lower-fma.f64`
4 564×	`lower-*.f32`
4 544×	`lower-*.f64`
1 760×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	339
0	73	336
1	130	336
2	243	318
3	567	304
4	1076	298
5	4178	298
0	8232	281

Stop Event

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

Calls

Call 1

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

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

localize139.0ms (1.5%)

Memory

-3.1MiB live, 399.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.f64 (sin.f64 v) e)
✓	accuracy	99.7%	(/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))
✓	accuracy	99.6%	#s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))
✓	accuracy	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
✓	accuracy	100.0%	(/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))
✓	accuracy	100.0%	(/.f64 e (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))
✓	accuracy	100.0%	(.f64 v (/.f64 e (/.f64 (-.f64 (.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
✓	accuracy	54.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 (-.f64 (.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
✓	accuracy	99.6%	(.f64 (.f64 v v) #s(literal -1/6 binary64))
✓	accuracy	98.2%	#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))))
✓	accuracy	90.3%	(fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)
✓	accuracy	54.5%	#s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)))
✓	accuracy	100.0%	(*.f64 e v)
✓	accuracy	100.0%	(.f64 e (-.f64 v (.f64 e v)))
✓	accuracy	99.2%	#s(approx (* v (/ e (+ 1 e))) (.f64 e (-.f64 v (.f64 e v))))
✓	accuracy	54.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (-.f64 v (.f64 e v)))))
✓	accuracy	100.0%	(sin.f64 v)
✓	accuracy	100.0%	(/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e))))
✓	accuracy	99.9%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e)))) e)
✓	accuracy	99.7%	(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e))

Samples

87.0ms

256×

valid

Compiler

Compiled 236 to 41 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 20.0ms (32.1% of total)

ival-div: 12.0ms (19.3% of total)

ival-sin: 10.0ms (16% of total)

ival-add: 6.0ms (9.6% of total)

ival-cos: 5.0ms (8% of total)

ival-sub: 4.0ms (6.4% of total)

const: 4.0ms (6.4% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.4%)

Memory

-10.9MiB live, 108.1MiB allocated

Counts

24 → 504

Calls

Call 1

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

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

Calls

126 calls:

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

simplify436.0ms (4.8%)

Memory

26.9MiB live, 1 046.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 040×	`lower-fma.f64`
11 040×	`lower-fma.f32`
7 268×	`lower-*.f64`
7 268×	`lower-*.f32`
4 244×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	415	6662
1	1317	6360
2	3849	6333
0	8935	5988

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 492

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

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))
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(* e (+ (cos v) (/ 1 e)))
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(* e (+ (cos v) (/ 1 e)))
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(* e (+ (cos v) (/ 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))
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e))))
(+.f64 #s(literal 1 binary64) (fma.f64 e (.f64 #s(literal -1/2 binary64) (.f64 v v)) e))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 e (.f64 (.f64 v v) #s(literal 1/24 binary64)) (.f64 e #s(literal -1/2 binary64))) e))
(+ (* e (+ 1 (/ 1 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 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/720 binary64)) (.f64 e #s(literal 1/24 binary64)))) (.f64 e #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) e))
(* e (+ (cos v) (/ 1 e)))
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(* e (+ (cos v) (/ 1 e)))
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(* e (+ (cos v) (/ 1 e)))
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(/ (* 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))))
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(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
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(* 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))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
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(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 e (-.f64 (sin.f64 v) (.f64 (cos.f64 v) (*.f64 e (sin.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))))))
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(/ (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 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(- (+ (* -1 (/ (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 e (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ (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 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.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 #s(literal 1 binary64) e))
(* 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 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)))) (/.f64 v (+.f64 #s(literal 1 binary64) 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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(.f64 v (fma.f64 v (.f64 v (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (/.f64 (.f64 e #s(literal -1/5040 binary64)) (+.f64 #s(literal 1 binary64) e)) (fma.f64 e (.f64 (/.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 e (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64)))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (/.f64 (.f64 #s(literal -1/720 binary64) (.f64 e e)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (fma.f64 e (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (/.f64 (.f64 e #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) e))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 e e) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) #s(literal -1/24 binary64))))) (/.f64 (.f64 (.f64 e e) #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e)))))) (/.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)))
(/ 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 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) e)
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/.f64 (fma.f64 (cos.f64 v) (/.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) e)
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/.f64 (fma.f64 (cos.f64 v) (/.f64 e (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 #s(literal 1 binary64) e) (*.f64 e v))
(/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (fma.f64 (*.f64 v v) (-.f64 #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 (+ (* (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 v (.f64 v (-.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)) e)) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/36 binary64) #s(literal 1/12 binary64)))) (-.f64 #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) 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 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (-.f64 (fma.f64 v (.f64 v (-.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (-.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)) e)) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/36 binary64) #s(literal 1/12 binary64))) (+.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal 1/720 binary64) #s(literal -1/240 binary64)) (/.f64 (fma.f64 e #s(literal -1/5040 binary64) #s(literal -1/5040 binary64)) e)) #s(literal 1/720 binary64))) (*.f64 v (neg.f64 v)) #s(literal 1/24 binary64)) (+.f64 (/.f64 (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)) e) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/36 binary64) #s(literal 1/12 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) 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 (* 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)))))
(+.f64 #s(literal 1 binary64) (fma.f64 e (.f64 #s(literal -1/2 binary64) (.f64 v v)) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (fma.f64 e (.f64 (.f64 v v) #s(literal 1/24 binary64)) (.f64 e #s(literal -1/2 binary64))) e))
(+ 1 (+ 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 v (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/720 binary64)) (.f64 e #s(literal 1/24 binary64)))) (.f64 e #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) e))
(+ 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))
1
#s(literal 1 binary64)
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
e
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
e
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* e v)
(*.f64 e v)
(* -1/6 (pow v 2))
(.f64 v (.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(.f64 v (.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(.f64 v (.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(.f64 v (.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(.f64 v (.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(.f64 v (.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(.f64 v (.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(.f64 v (.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(.f64 v (.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(.f64 v (.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(.f64 v (.f64 v #s(literal -1/6 binary64)))
(* -1/6 (pow v 2))
(.f64 v (.f64 v #s(literal -1/6 binary64)))
e
(* e (+ 1 (* -1 e)))
(-.f64 e (*.f64 e e))
(* e (+ 1 (* e (- e 1))))
(fma.f64 e (-.f64 (*.f64 e e) e) e)
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(fma.f64 (*.f64 e e) (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)
1
#s(literal 1 binary64)
(- 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 e e))) (+.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(literal -1 binary64) (.f64 e (*.f64 e e)))))
1
#s(literal 1 binary64)
(- 1 (/ 1 e))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) e))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) e)) e))
(* 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 v (.f64 v (fma.f64 e #s(literal -1/6 binary64) (.f64 e (.f64 (*.f64 v v) #s(literal 1/120 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 v (.f64 v (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/120 binary64) (.f64 (.f64 e (.f64 v v)) #s(literal -1/5040 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))
(* 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))

rewrite306.0ms (3.3%)

Memory

20.5MiB live, 855.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 842×	`lower-/.f32`
4 830×	`lower-/.f64`
4 038×	`lower-fma.f32`
4 036×	`lower-fma.f64`
3 564×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	285
0	73	261
1	269	259
2	1880	256
0	8595	247

Stop Event

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

Counts

24 → 780

Calls

Call 1

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

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

eval170.0ms (1.9%)

Memory: -21.9MiB live, 527.8MiB allocated
Compiler: Compiled 28 224 to 2 888 computations (89.8% saved)

prune261.0ms (2.8%)

Memory

13.7MiB live, 862.8MiB allocated

Pruning

43 alts after pruning (36 fresh and 7 done)

	Pruned	Kept	Total
New	1 267	21	1 288
Fresh	13	15	28
Picked	3	2	5
Done	0	5	5
Total	1 283	43	1 326

Accuracy

100.0%

Counts

1 326 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.9%	(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))
	75.6%	(pow.f64 (pow.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	54.3%	(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
	54.3%	(/.f64 (.f64 e #s(approx (sin v) (fma.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64))) v))) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
	71.5%	(/.f64 #s(approx (* (sin v) (* e (- 1 (* e (cos v))))) (.f64 (.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) 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)))
	55.4%	(/.f64 #s(approx (* e (sin v)) (.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
	99.3%	(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
	98.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)) e))
	98.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) e) (sin.f64 v)))
	53.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* (sin v) e) (*.f64 e v))))
	97.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(approx (+ e 1) #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
	54.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #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)))
	69.8%	(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64)))))))) e)
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
✓	99.5%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
✓	99.6%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e)))) e)
	22.5%	(.f64 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64)) (sin.f64 v))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
	71.4%	(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
	99.1%	#s(approx (/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1)) (.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v))))))
	54.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
	54.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
	50.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 #s(approx (- ( e e) 1) (.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (.f64 e e)) e))) (-.f64 e #s(literal 1 binary64))))))
	54.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 #s(approx (- ( e e) 1) #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))))
	54.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
	54.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (/ (- ( e e) 1) (- e 1))) (fma.f64 e (-.f64 (*.f64 e e) e) e))))
	54.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (/ (- ( e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
✓	98.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
	53.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
✓	53.4%	#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))))
	53.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) v))))
	30.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* v (* v -1/6))) v) (.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
	9.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (-.f64 (.f64 e (.f64 v (.f64 e v))) (.f64 (.f64 (neg.f64 (.f64 e v)) e) (.f64 (neg.f64 (.f64 e v)) e))) (-.f64 (.f64 e v) (.f64 (neg.f64 (*.f64 e v)) e)))))
	43.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (fma.f64 e v v))))
	54.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
	43.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e v v) (.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e)))))
	43.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 (.f64 (.f64 (fma.f64 e v v) (-.f64 v (.f64 e v))) e) (/.f64 #s(literal 1 binary64) (fma.f64 e v v)))))
	48.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (/.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (fma.f64 e v v)))))
✓	54.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (-.f64 v (.f64 e v)))))
	22.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (.f64 (.f64 (fma.f64 v v (.f64 (.f64 e v) (fma.f64 e v v))) (-.f64 v (.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 (.f64 e v) (fma.f64 e v v))))))))
	48.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (.f64 (.f64 (fma.f64 e v v) (-.f64 v (.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
	32.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
✓	53.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
	53.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))

Compiler

Compiled 2 237 to 698 computations (68.8% saved)

regimes78.0ms (0.8%)

Memory

-8.9MiB live, 200.6MiB allocated

Counts

73 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (/ (- ( e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (/ (- ( e e) 1) (- e 1))) (fma.f64 e (-.f64 (*.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.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)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* v (* v -1/6))) v) (.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 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) (.f64 (fma.f64 v (*.f64 v #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 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (fma.f64 (.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 #s(approx (- ( e e) 1) #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* (sin v) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v 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 (/.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 (-.f64 (.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (/.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (fma.f64 e v 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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (.f64 (.f64 (fma.f64 e v v) (-.f64 v (.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 (.f64 (.f64 (fma.f64 e v v) (-.f64 v (.f64 e v))) e) (/.f64 #s(literal 1 binary64) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e v v) (.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 #s(approx (- ( e e) 1) (.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (.f64 e e)) e))) (-.f64 e #s(literal 1 binary64))))))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #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)))
#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 (/.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 e #s(approx (sin v) (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) v)) #s(literal 1/36 binary64) (neg.f64 (.f64 v v))) (-.f64 (.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64)))) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (.f64 (.f64 (fma.f64 v v (.f64 (.f64 e v) (fma.f64 e v v))) (-.f64 v (.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 (.f64 e v) (fma.f64 e v v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (-.f64 (.f64 e (.f64 v (.f64 e v))) (.f64 (.f64 (neg.f64 (.f64 e v)) e) (.f64 (neg.f64 (.f64 e v)) e))) (-.f64 (.f64 e v) (.f64 (neg.f64 (*.f64 e v)) e)))))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64))) v))) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (fma.f64 v (.f64 (.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)
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (.f64 e (.f64 (.f64 v v) #s(literal 1/120 binary64)))) e))) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(approx (+ e 1) #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)) e))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) #s(approx (+ ( e -1/2) (* (* e (* v v)) (+ (* (* v v) -1/720) 1/24))) (.f64 (.f64 v v) (.f64 e (.f64 (*.f64 v v) #s(literal -1/720 binary64))))) e))))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 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)))
#s(approx (/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1)) (.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e)))) e)
(pow.f64 (pow.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
(/.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))
(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)))
(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(approx (* (sin v) (* e (- 1 (* e (cos v))))) (.f64 (.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) 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 (.f64 (exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64)) (sin.f64 v))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
(.f64 (/.f64 (fma.f64 (.f64 e (cos.f64 v)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64)) (sin.f64 v)) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64)) (sin.f64 v)) #s(literal -1 binary64))) (.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64)) (sin.f64 v)))) e)
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (cos.f64 v))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64))) (neg.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (.f64 e e) #s(literal -1 binary64)))))))) e)

Outputs

(/.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)))

Calls

3 calls:

33.0ms	e
21.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
20.0ms	v

Results

Accuracy	Segments	Branch
99.9%	1	`e`
99.9%	1	`v`
99.9%	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)

regimes58.0ms (0.6%)

Memory

-15.0MiB live, 184.0MiB allocated

Counts

65 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (/ (- ( e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (/ (- ( e e) 1) (- e 1))) (fma.f64 e (-.f64 (*.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.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)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* v (* v -1/6))) v) (.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 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) (.f64 (fma.f64 v (*.f64 v #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 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (fma.f64 (.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 #s(approx (- ( e e) 1) #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* (sin v) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v 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 (/.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 (-.f64 (.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (/.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (fma.f64 e v 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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (.f64 (.f64 (fma.f64 e v v) (-.f64 v (.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 (.f64 (.f64 (fma.f64 e v v) (-.f64 v (.f64 e v))) e) (/.f64 #s(literal 1 binary64) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e v v) (.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 #s(approx (- ( e e) 1) (.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (.f64 e e)) e))) (-.f64 e #s(literal 1 binary64))))))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #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)))
#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 (/.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 e #s(approx (sin v) (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) v)) #s(literal 1/36 binary64) (neg.f64 (.f64 v v))) (-.f64 (.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64)))) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (.f64 (.f64 (fma.f64 v v (.f64 (.f64 e v) (fma.f64 e v v))) (-.f64 v (.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 (.f64 e v) (fma.f64 e v v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (-.f64 (.f64 e (.f64 v (.f64 e v))) (.f64 (.f64 (neg.f64 (.f64 e v)) e) (.f64 (neg.f64 (.f64 e v)) e))) (-.f64 (.f64 e v) (.f64 (neg.f64 (*.f64 e v)) e)))))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64))) v))) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (fma.f64 v (.f64 (.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)
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (.f64 e (.f64 (.f64 v v) #s(literal 1/120 binary64)))) e))) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(approx (+ e 1) #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)) e))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) #s(approx (+ ( e -1/2) (* (* e (* v v)) (+ (* (* v v) -1/720) 1/24))) (.f64 (.f64 v v) (.f64 e (.f64 (*.f64 v v) #s(literal -1/720 binary64))))) e))))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 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)))
#s(approx (/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1)) (.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e)))) e)
(pow.f64 (pow.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes57.0ms (0.6%)

Memory

24.1MiB live, 183.5MiB allocated

Counts

64 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (/ (- ( e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (/ (- ( e e) 1) (- e 1))) (fma.f64 e (-.f64 (*.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.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)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* v (* v -1/6))) v) (.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 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) (.f64 (fma.f64 v (*.f64 v #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 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (fma.f64 (.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 #s(approx (- ( e e) 1) #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* (sin v) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v 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 (/.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 (-.f64 (.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (/.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (fma.f64 e v 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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (.f64 (.f64 (fma.f64 e v v) (-.f64 v (.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 (.f64 (.f64 (fma.f64 e v v) (-.f64 v (.f64 e v))) e) (/.f64 #s(literal 1 binary64) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e v v) (.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 #s(approx (- ( e e) 1) (.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (.f64 e e)) e))) (-.f64 e #s(literal 1 binary64))))))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #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)))
#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 (/.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 e #s(approx (sin v) (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) v)) #s(literal 1/36 binary64) (neg.f64 (.f64 v v))) (-.f64 (.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64)))) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (.f64 (.f64 (fma.f64 v v (.f64 (.f64 e v) (fma.f64 e v v))) (-.f64 v (.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 (.f64 e v) (fma.f64 e v v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (-.f64 (.f64 e (.f64 v (.f64 e v))) (.f64 (.f64 (neg.f64 (.f64 e v)) e) (.f64 (neg.f64 (.f64 e v)) e))) (-.f64 (.f64 e v) (.f64 (neg.f64 (*.f64 e v)) e)))))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64))) v))) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (fma.f64 v (.f64 (.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)
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (.f64 e (.f64 (.f64 v v) #s(literal 1/120 binary64)))) e))) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(approx (+ e 1) #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)) e))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) #s(approx (+ ( e -1/2) (* (* e (* v v)) (+ (* (* v v) -1/720) 1/24))) (.f64 (.f64 v v) (.f64 e (.f64 (*.f64 v v) #s(literal -1/720 binary64))))) e))))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 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)))
#s(approx (/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1)) (.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.f64 v))))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (neg.f64 e)))) e)
(pow.f64 (pow.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 e (sin.f64 v))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 e (sin.f64 v)))) #s(literal -1 binary64)))

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

Calls

3 calls:

19.0ms	v
18.0ms	e
17.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes51.0ms (0.6%)

Memory

5.2MiB live, 164.5MiB allocated

Counts

56 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (/ (- ( e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (/ (- ( e e) 1) (- e 1))) (fma.f64 e (-.f64 (*.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.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)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* v (* v -1/6))) v) (.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 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) (.f64 (fma.f64 v (*.f64 v #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 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (fma.f64 (.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 #s(approx (- ( e e) 1) #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* (sin v) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v 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 (/.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 (-.f64 (.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (/.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (fma.f64 e v 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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (.f64 (.f64 (fma.f64 e v v) (-.f64 v (.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 (.f64 (.f64 (fma.f64 e v v) (-.f64 v (.f64 e v))) e) (/.f64 #s(literal 1 binary64) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e v v) (.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 #s(approx (- ( e e) 1) (.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (.f64 e e)) e))) (-.f64 e #s(literal 1 binary64))))))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #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)))
#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 (/.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 e #s(approx (sin v) (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) v)) #s(literal 1/36 binary64) (neg.f64 (.f64 v v))) (-.f64 (.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64)))) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (.f64 (.f64 (fma.f64 v v (.f64 (.f64 e v) (fma.f64 e v v))) (-.f64 v (.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 (.f64 e v) (fma.f64 e v v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (-.f64 (.f64 e (.f64 v (.f64 e v))) (.f64 (.f64 (neg.f64 (.f64 e v)) e) (.f64 (neg.f64 (.f64 e v)) e))) (-.f64 (.f64 e v) (.f64 (neg.f64 (*.f64 e v)) e)))))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64))) v))) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (fma.f64 v (.f64 (.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)
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (.f64 e (.f64 (.f64 v v) #s(literal 1/120 binary64)))) e))) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(approx (+ e 1) #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)) e))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) #s(approx (+ ( e -1/2) (* (* e (* v v)) (+ (* (* v v) -1/720) 1/24))) (.f64 (.f64 v v) (.f64 e (.f64 (*.f64 v v) #s(literal -1/720 binary64))))) e))))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 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)))
#s(approx (/ (* (sin v) (* e (- 1 (* e (cos v))))) (+ (* (+ 1/2 (* 1/2 (cos (+ v v)))) (neg (* e e))) 1)) (.f64 (sin.f64 v) (-.f64 e (.f64 e (*.f64 e (cos.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	v
16.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
16.0ms	e

Results

Accuracy	Segments	Branch
99.5%	1	`e`
99.5%	1	`v`
99.5%	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)

regimes43.0ms (0.5%)

Memory

-22.3MiB live, 140.0MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (/ (- ( e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (/ (- ( e e) 1) (- e 1))) (fma.f64 e (-.f64 (*.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.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)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* v (* v -1/6))) v) (.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 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) (.f64 (fma.f64 v (*.f64 v #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 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (fma.f64 (.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 #s(approx (- ( e e) 1) #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* (sin v) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v 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 (/.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 (-.f64 (.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (/.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (fma.f64 e v 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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (.f64 (.f64 (fma.f64 e v v) (-.f64 v (.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 (.f64 (.f64 (fma.f64 e v v) (-.f64 v (.f64 e v))) e) (/.f64 #s(literal 1 binary64) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e v v) (.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 #s(approx (- ( e e) 1) (.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (.f64 e e)) e))) (-.f64 e #s(literal 1 binary64))))))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #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)))
#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 (/.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 e #s(approx (sin v) (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) v)) #s(literal 1/36 binary64) (neg.f64 (.f64 v v))) (-.f64 (.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64)))) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (.f64 (.f64 (fma.f64 v v (.f64 (.f64 e v) (fma.f64 e v v))) (-.f64 v (.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 (.f64 e v) (fma.f64 e v v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (-.f64 (.f64 e (.f64 v (.f64 e v))) (.f64 (.f64 (neg.f64 (.f64 e v)) e) (.f64 (neg.f64 (.f64 e v)) e))) (-.f64 (.f64 e v) (.f64 (neg.f64 (*.f64 e v)) e)))))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64))) v))) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (fma.f64 v (.f64 (.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)
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (.f64 e (.f64 (.f64 v v) #s(literal 1/120 binary64)))) e))) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`e`
99.5%	1	`v`
99.5%	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)

regimes42.0ms (0.5%)

Memory

20.5MiB live, 140.7MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (/ (- ( e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (/ (- ( e e) 1) (- e 1))) (fma.f64 e (-.f64 (*.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.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)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* v (* v -1/6))) v) (.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 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) (.f64 (fma.f64 v (*.f64 v #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 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (fma.f64 (.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 #s(approx (- ( e e) 1) #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* (sin v) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v 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 (/.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 (-.f64 (.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (/.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (fma.f64 e v 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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (.f64 (.f64 (fma.f64 e v v) (-.f64 v (.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 (.f64 (.f64 (fma.f64 e v v) (-.f64 v (.f64 e v))) e) (/.f64 #s(literal 1 binary64) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e v v) (.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 #s(approx (- ( e e) 1) (.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (.f64 e e)) e))) (-.f64 e #s(literal 1 binary64))))))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #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)))
#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 (/.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 e #s(approx (sin v) (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) v)) #s(literal 1/36 binary64) (neg.f64 (.f64 v v))) (-.f64 (.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64)))) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (.f64 (.f64 (fma.f64 v v (.f64 (.f64 e v) (fma.f64 e v v))) (-.f64 v (.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 (.f64 e v) (fma.f64 e v v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (-.f64 (.f64 e (.f64 v (.f64 e v))) (.f64 (.f64 (neg.f64 (.f64 e v)) e) (.f64 (neg.f64 (.f64 e v)) e))) (-.f64 (.f64 e v) (.f64 (neg.f64 (*.f64 e v)) e)))))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64))) v))) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (fma.f64 v (.f64 (.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)
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (.f64 e (.f64 (.f64 v v) #s(literal 1/120 binary64)))) e))) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
#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:

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

Results

Accuracy	Segments	Branch
98.1%	1	`e`
98.1%	1	`v`
98.1%	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)

regimes41.0ms (0.5%)

Memory

-24.7MiB live, 134.9MiB allocated

Counts

44 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (/ (- ( e e) 1) (- e 1))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (/ (- ( e e) 1) (- e 1))) (fma.f64 e (-.f64 (*.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.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)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* v (* v -1/6))) v) (.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 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) (.f64 (fma.f64 v (*.f64 v #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 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (sin v) (fma.f64 (.f64 v #s(literal -1/6 binary64)) (*.f64 v v) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 #s(approx (- ( e e) 1) #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* (sin v) e) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v 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 (/.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 (-.f64 (.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (/.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e) (fma.f64 e v 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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (.f64 (.f64 (fma.f64 e v v) (-.f64 v (.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 (.f64 (.f64 (fma.f64 e v v) (-.f64 v (.f64 e v))) e) (/.f64 #s(literal 1 binary64) (fma.f64 e v v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e v v) (.f64 (.f64 (fma.f64 e v v) (-.f64 v (*.f64 e v))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 e (/.f64 #s(approx (- ( e e) 1) (.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (.f64 e e)) e))) (-.f64 e #s(literal 1 binary64))))))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 v v) (-.f64 #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)))
#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 (/.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 e #s(approx (sin v) (/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 (.f64 v (.f64 v v)) v)) #s(literal 1/36 binary64) (neg.f64 (.f64 v v))) (-.f64 (.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64)))) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (.f64 (.f64 (fma.f64 v v (.f64 (.f64 e v) (fma.f64 e v v))) (-.f64 v (.f64 e v))) (/.f64 #s(literal 1 binary64) (fma.f64 v v (.f64 (.f64 e v) (fma.f64 e v v))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (/.f64 (-.f64 (.f64 e (.f64 v (.f64 e v))) (.f64 (.f64 (neg.f64 (.f64 e v)) e) (.f64 (neg.f64 (.f64 e v)) e))) (-.f64 (.f64 e v) (.f64 (neg.f64 (*.f64 e v)) e)))))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64))) v))) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (fma.f64 v (.f64 (.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)
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (.f64 e (.f64 (.f64 v v) #s(literal 1/120 binary64)))) e))) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))

Outputs

(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx (* e (cos v)) (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (*.f64 (*.f64 e (*.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))

Calls

3 calls:

13.0ms	v
13.0ms	e
12.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
55.4%	1	`e`
55.4%	1	`v`
55.4%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes32.0ms (0.3%)

Memory

26.3MiB live, 105.5MiB allocated

Counts

34 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.8%	1	`v`
54.8%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
54.8%	1	`e`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes25.0ms (0.3%)

Memory

0.5MiB live, 81.2MiB allocated

Counts

25 → 1

Calls

Call 1

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

Calls

3 calls:

8.0ms	e
8.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
7.0ms	v

Results

Accuracy	Segments	Branch
54.8%	1	`v`
54.8%	1	`e`
54.8%	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)

regimes13.0ms (0.1%)

Memory

-36.4MiB live, 43.0MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
4.0ms	v
4.0ms	e

Results

Accuracy	Segments	Branch
54.8%	1	`v`
54.8%	1	`e`
54.8%	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)

regimes12.0ms (0.1%)

Memory

0.3MiB live, 40.0MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.5%	1	`v`
54.5%	1	`e`
54.5%	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)

regimes9.0ms (0.1%)

Memory

31.9MiB live, 31.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.2%	1	`v`
54.2%	1	`e`
54.2%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.1%)

Memory

-21.8MiB live, 20.2MiB allocated

Accuracy

Total -14.5b remaining (-48.6%)

Threshold costs -14.5b (-48.6%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.4%	1	`v`
53.4%	1	`e`
53.4%	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)

simplify12.0ms (0.1%)

Memory

-5.6MiB live, 34.0MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative_binary64`
28×	`+-commutative_binary64`
22×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	284
1	124	284
2	148	284
3	159	284
4	165	284
5	166	284

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.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)))
(.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (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))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.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)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))

Outputs
(/.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)))
(/.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)))) (*.f64 e (neg.f64 e)) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) e)
(.f64 e (.f64 (/.f64 (sin.f64 v) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)) #s(literal 1/2 binary64)) (*.f64 e e) #s(literal -1 binary64))) (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 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
(.f64 e (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #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 #s(approx (* e (sin v)) (.f64 e v)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
(/.f64 #s(approx (* e (sin v)) (.f64 v e)) (+.f64 #s(literal 1 binary64) #s(approx ( e (cos v)) (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.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)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (fma.f64 e (-.f64 (.f64 v e) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (-.f64 v (.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 v e)))

soundness913.0ms (10%)

Memory

32.0MiB live, 1 071.7MiB allocated

Rules

15 582×	`lower-fma.f64`
15 582×	`lower-fma.f32`
11 744×	`lower-fma.f64`
11 744×	`lower-fma.f32`
8 984×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	642	8064
1	2002	7827
2	6508	7805
0	8038	7262
0	560	7058
1	1794	6815
2	5735	6764
0	8253	6390
0	45	235
0	79	249
1	300	204
2	2237	204
0	8170	201
0	9	27
0	15	27
1	42	27
2	241	27
3	2097	27
0	8370	25
0	182	1153
1	554	1138
2	1582	1106
3	5255	1024
0	8371	956

Stop Event

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

Compiler

Compiled 434 to 208 computations (52.1% saved)

preprocess144.0ms (1.6%)

Memory: -3.0MiB live, 435.7MiB allocated
Remove: (negabs v)
Compiler: Compiled 1 034 to 566 computations (45.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze7.0ms (0.1%)

sample1.2s (13.1%)

preprocess78.0ms (0.9%)

explain173.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize42.0ms (0.5%)

series13.0ms (0.1%)

simplify408.0ms (4.5%)

rewrite334.0ms (3.6%)

eval75.0ms (0.8%)

prune67.0ms (0.7%)

simplify262.0ms (2.9%)

localize146.0ms (1.6%)

series50.0ms (0.5%)

simplify839.0ms (9.2%)

rewrite328.0ms (3.6%)

eval154.0ms (1.7%)

prune176.0ms (1.9%)

simplify305.0ms (3.3%)

localize186.0ms (2%)

series47.0ms (0.5%)

simplify422.0ms (4.6%)

rewrite364.0ms (4%)

eval141.0ms (1.5%)

prune176.0ms (1.9%)

simplify273.0ms (3%)

localize139.0ms (1.5%)

series37.0ms (0.4%)

simplify436.0ms (4.8%)

rewrite306.0ms (3.3%)

eval170.0ms (1.9%)

prune261.0ms (2.8%)

regimes78.0ms (0.8%)

regimes58.0ms (0.6%)

regimes57.0ms (0.6%)

regimes51.0ms (0.6%)

regimes43.0ms (0.5%)

regimes42.0ms (0.5%)

regimes41.0ms (0.5%)

regimes32.0ms (0.3%)

regimes25.0ms (0.3%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

simplify12.0ms (0.1%)

soundness913.0ms (10%)

preprocess144.0ms (1.6%)

end0.0ms (0%)

Profiling