Metrics for Trigonometry A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze7.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB 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)

sample1.3s (16.1%)

Memory

30.1MiB live, 2 957.3MiB allocated

Samples

1000.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 785.0ms

ival-cos: 250.0ms (31.8% of total)

ival-sin: 240.0ms (30.6% of total)

ival-mult: 117.0ms (14.9% of total)

ival-add: 54.0ms (6.9% of total)

ival-div: 48.0ms (6.1% of total)

ival-<=: 48.0ms (6.1% of total)

ival-and: 12.0ms (1.5% of total)

exact: 11.0ms (1.4% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain129.0ms (1.6%)

Memory

-5.1MiB live, 354.0MiB 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

61.0ms

512×

valid

Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions

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

ival-add: 11.0ms (25.4% of total)

ival-cos: 11.0ms (25.4% of total)

ival-sin: 11.0ms (25.4% of total)

ival-mult: 7.0ms (16.2% of total)

ival-div: 3.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess72.0ms (0.9%)

Memory

14.8MiB live, 54.2MiB 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 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))

Symmetry

(negabs v)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB 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

-28.2MiB live, 11.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize35.0ms (0.4%)

Memory

26.6MiB live, 107.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 v)
accuracy	0.015625	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
accuracy	0.1171875	(*.f64 e (sin.f64 v))
accuracy	0.12109375	(*.f64 e (cos.f64 v))

Samples

29.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

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

ival-sin: 7.0ms (37.2% of total)

ival-cos: 5.0ms (26.6% of total)

ival-mult: 4.0ms (21.3% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

5.2MiB live, 44.8MiB allocated

Counts

6 → 120

Calls

Call 1

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

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

Calls

6 calls:

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

simplify196.0ms (2.4%)

Memory

-33.7MiB live, 376.5MiB allocated

Algorithm

1×	egg-herbie

Rules

17 764×	`lower-fma.f64`
17 764×	`lower-fma.f32`
5 642×	`lower-*.f64`
5 642×	`lower-*.f32`
4 928×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	1209
1	584	1194
2	1652	1162
3	4899	1089
0	8542	1013

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 118

Calls

Call 1

Inputs
(+ 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)))))))
(/ (* 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 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)))))))
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))))
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))))))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos 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))
(sin v)
(sin v)
(sin v)
(sin v)
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(cos v)
(cos v)
(cos v)
(cos v)
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos 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))
(sin v)
(sin v)
(sin v)
(sin v)
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(cos v)
(cos v)
(cos v)
(cos v)
1
(+ 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))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(/ (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)))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(/ (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 (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))

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

rewrite174.0ms (2.1%)

Memory

4.1MiB live, 400.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 347

Calls

Call 1

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

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

eval92.0ms (1.1%)

Memory: -11.5MiB live, 233.7MiB allocated
Compiler: Compiled 13 630 to 1 256 computations (90.8% saved)

prune116.0ms (1.4%)

Memory

22.8MiB live, 223.4MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	452	13	465
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	453	13	466

Accuracy

99.9%

Counts

466 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.5%	(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	21.6%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (neg.f64 e) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (sin.f64 v) e) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (neg.f64 e) (sin.f64 v)))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
▶	99.8%	(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
	60.5%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
▶	98.3%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	99.6%	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
▶	99.7%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
▶	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
	99.8%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (.f64 (sin.f64 v) e))
	52.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
	98.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))
▶	52.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
	97.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))

Compiler

Compiled 418 to 254 computations (39.2% saved)

simplify216.0ms (2.6%)

Memory

-0.5MiB live, 158.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) e)
cost-diff	0	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
cost-diff	7168	(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))
cost-diff	0	(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
cost-diff	0	(sin.f64 v)
cost-diff	0	(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
cost-diff	0	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
cost-diff	0	#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
cost-diff	0	(sin.f64 v)
cost-diff	0	(*.f64 e (sin.f64 v))
cost-diff	0	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
cost-diff	0	(+.f64 e #s(literal 1 binary64))
cost-diff	0	(/.f64 e (+.f64 e #s(literal 1 binary64)))
cost-diff	0	(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
cost-diff	0	(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
cost-diff	0	(sin.f64 v)
cost-diff	0	(*.f64 (sin.f64 v) e)
cost-diff	0	(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))

Rules

6 180×	`lower-*.f32`
6 170×	`lower-*.f64`
3 394×	`cube-prod`
2 772×	`lower-pow.f32`
2 770×	`lower-pow.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	27	173
0	43	162
1	65	162
2	82	162
3	131	162
4	197	162
5	331	158
6	391	158
7	437	158
8	583	158
9	1349	158
10	2060	158
11	2213	158
12	2426	158
13	2705	158
14	3082	158
15	3514	158
16	4054	158
17	4714	158
18	4991	158
19	5172	158
20	5309	158
21	5425	158
22	5541	158
23	6231	158
24	7290	158
25	7744	158
26	7831	158
27	7918	158
0	8005	158

Stop Event

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

Calls

Call 1

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

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

localize80.0ms (1%)

Memory

2.8MiB live, 204.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 v)
accuracy	0.0234375	(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy	0.11328125	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
accuracy	0.171875	(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))
accuracy	0	(sin.f64 v)
accuracy	0	(cos.f64 v)
accuracy	0.0234375	(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy	0.11328125	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
accuracy	0	(sin.f64 v)
accuracy	0.015625	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
accuracy	0.1171875	(*.f64 e (sin.f64 v))
accuracy	0.9439255418266577	#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
accuracy	0	(+.f64 e #s(literal 1 binary64))
accuracy	0.0234375	(/.f64 e (+.f64 e #s(literal 1 binary64)))
accuracy	0.0234375	(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
accuracy	30.368254488016753	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
accuracy	0	(sin.f64 v)
accuracy	0	(cos.f64 v)
accuracy	0.015625	(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy	0.1171875	(*.f64 (sin.f64 v) e)

Samples

61.0ms

256×

valid

Compiler

Compiled 167 to 24 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 19.0ms (43.3% of total)

ival-div: 8.0ms (18.2% of total)

ival-sin: 6.0ms (13.7% of total)

ival-cos: 5.0ms (11.4% of total)

ival-add: 3.0ms (6.8% of total)

ival-pow: 2.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory

-13.8MiB live, 64.7MiB allocated

Counts

17 → 336

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	v	@	0	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (pow (/ 1 e) -1) (* (pow (/ 1 e) -1) (/ (sin v) (+ (* (cos v) e) 1))) (/ 1 e) (cos v))
2.0ms	e	@	-inf	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (pow (/ 1 e) -1) (* (pow (/ 1 e) -1) (/ (sin v) (+ (* (cos v) e) 1))) (/ 1 e) (cos v))
2.0ms	e	@	inf	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (pow (/ 1 e) -1) (* (pow (/ 1 e) -1) (/ (sin v) (+ (* (cos v) e) 1))) (/ 1 e) (cos v))
2.0ms	v	@	-inf	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (pow (/ 1 e) -1) (* (pow (/ 1 e) -1) (/ (sin v) (+ (* (cos v) e) 1))) (/ 1 e) (cos v))
2.0ms	v	@	inf	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (pow (/ 1 e) -1) (* (pow (/ 1 e) -1) (/ (sin v) (+ (* (cos v) e) 1))) (/ 1 e) (cos v))

simplify173.0ms (2.1%)

Memory

27.7MiB live, 300.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 586×	`lower-fma.f64`
11 586×	`lower-fma.f32`
5 804×	`lower-*.f64`
5 804×	`lower-*.f32`
4 442×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	319	4945
1	989	4817
2	2827	4645
0	8152	4379

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 318

Calls

Call 1

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

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

rewrite200.0ms (2.4%)

Memory

-30.5MiB live, 412.7MiB allocated

Rules

4 494×	`lower-*.f32`
4 484×	`lower-*.f64`
4 110×	`lower-fma.f32`
4 108×	`lower-fma.f64`
3 924×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	126
0	43	119
1	152	115
2	779	115
3	7947	115
0	8503	115

Stop Event

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

Counts

17 → 1 198

Calls

Call 1

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

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

eval273.0ms (3.3%)

Memory: 13.0MiB live, 762.2MiB allocated
Compiler: Compiled 47 860 to 2 843 computations (94.1% saved)

prune298.0ms (3.6%)

Memory

25.4MiB live, 904.0MiB allocated

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	2 044	31	2 075
Fresh	4	4	8
Picked	3	2	5
Done	0	0	0
Total	2 051	37	2 088

Accuracy

100.0%

Counts

2 088 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.5%	(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	97.8%	(/.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
	97.9%	(/.f64 (.f64 (pow.f64 e #s(literal 1/4 binary64)) (.f64 (pow.f64 e #s(literal 1/4 binary64)) (.f64 (sqrt.f64 e) (sin.f64 v)))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	60.5%	(/.f64 (.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)))
	98.3%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (/.f64 (fma.f64 (.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))))
	98.3%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (+.f64 #s(literal 1 binary64) e) (.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e))))))
	52.2%	(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
▶	52.3%	(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
	52.2%	(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	98.1%	(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
	52.3%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
▶	99.6%	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
	98.1%	(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
▶	96.6%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
	98.3%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
	97.9%	(.f64 (.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sqrt.f64 e)) (sqrt.f64 e))
	98.3%	(.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))))
	98.5%	(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e)
	97.5%	(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)
	52.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
	52.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 #s(literal -1 binary64) v) (.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
▶	52.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
	51.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
	52.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
	98.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))
✓	52.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
	52.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
	52.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
	52.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e v) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e))))
	52.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
	51.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
	52.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
	51.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 v e)) e)))
▶	51.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))

Compiler

Compiled 1 078 to 610 computations (43.4% saved)

simplify102.0ms (1.2%)

Memory

-2.0MiB live, 154.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))
cost-diff	0	(/.f64 #s(literal -1 binary64) e)
cost-diff	576	(.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
cost-diff	832	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)
cost-diff	0	#s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
cost-diff	0	(.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)))
cost-diff	0	(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
cost-diff	0	(+.f64 #s(literal 1 binary64) e)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) e) e)
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
cost-diff	384	(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
cost-diff	0	(*.f64 v e)
cost-diff	0	#s(approx (* (/ e (+ e 1)) v) (*.f64 v e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
cost-diff	0	(cos.f64 v)
cost-diff	0	(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))
cost-diff	384	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))

Rules

3 870×	`lower-fma.f32`
3 864×	`lower-fma.f64`
2 110×	`lower-*.f32`
2 100×	`lower-*.f64`
1 312×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	291
0	65	283
1	106	280
2	155	278
3	267	274
4	679	274
5	1433	274
6	3197	274
7	4316	274
8	6110	274
9	7365	274
0	8061	270

Stop Event

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

Calls

Call 1

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

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

localize111.0ms (1.3%)

Memory

-10.1MiB live, 304.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))
accuracy	0.31087875976844204	(.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
accuracy	0.9439255418266577	#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
accuracy	1.0432356274904055	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))))
accuracy	0.1171875	(.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)))
accuracy	0.24790436514227643	(fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))
accuracy	0.9439255418266577	#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
accuracy	30.52074869429714	#s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v))
accuracy	0	(+.f64 #s(literal 1 binary64) e)
accuracy	0.03125	(/.f64 (+.f64 #s(literal 1 binary64) e) e)
accuracy	0.1953125	(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
accuracy	30.368254488016753	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
accuracy	0	(*.f64 v e)
accuracy	1.51504936855993	#s(approx (* (/ e (+ e 1)) v) (*.f64 v e))
accuracy	30.368254488016753	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
accuracy	0	(sin.f64 v)
accuracy	0	(cos.f64 v)
accuracy	0.08984375	(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))
accuracy	0.25	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))

Samples

86.0ms

256×

valid

Compiler

Compiled 211 to 35 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div: 24.0ms (36.4% of total)

ival-mult: 16.0ms (24.2% of total)

ival-add: 8.0ms (12.1% of total)

ival-cos: 6.0ms (9.1% of total)

const: 6.0ms (9.1% of total)

ival-sin: 5.0ms (7.6% of total)

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

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

exact: 0.0ms (0% of total)

series39.0ms (0.5%)

Memory

-9.2MiB live, 108.9MiB allocated

Counts

23 → 456

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	v	@	inf	((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ v (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ 1 e) e) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (/ -1 (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v)))) (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v)) (sin v) (+ 1 (* e (cos v))) (+ (* 1/120 (* v v)) -1/6) (+ 1 (* e (cos v))))
4.0ms	v	@	-inf	((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ v (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ 1 e) e) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (/ -1 (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v)))) (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v)) (sin v) (+ 1 (* e (cos v))) (+ (* 1/120 (* v v)) -1/6) (+ 1 (* e (cos v))))
3.0ms	v	@	0	((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ v (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ 1 e) e) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (/ -1 (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v)))) (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v)) (sin v) (+ 1 (* e (cos v))) (+ (* 1/120 (* v v)) -1/6) (+ 1 (* e (cos v))))
3.0ms	e	@	-inf	((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ v (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ 1 e) e) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (/ -1 (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v)))) (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v)) (sin v) (+ 1 (* e (cos v))) (+ (* 1/120 (* v v)) -1/6) (+ 1 (* e (cos v))))
2.0ms	e	@	inf	((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ v (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (+ 1 e) e) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (/ -1 (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v)))) (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v)) (sin v) (+ 1 (* e (cos v))) (+ (* 1/120 (* v v)) -1/6) (+ 1 (* e (cos v))))

simplify586.0ms (7%)

Memory

-82.9MiB live, 515.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 764×	`lower-fma.f64`
12 764×	`lower-fma.f32`
5 740×	`lower-*.f64`
5 740×	`lower-*.f32`
5 730×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	339	6028
1	1031	5910
2	2981	5772
0	8172	5398

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 447

Calls

Call 1

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

rewrite276.0ms (3.3%)

Memory

1.9MiB live, 598.1MiB allocated

Rules

4 234×	`lower-fma.f32`
4 228×	`lower-fma.f64`
4 122×	`lower-/.f32`
4 106×	`lower-/.f64`
4 104×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	252
0	65	244
1	252	239
2	1530	239
0	8342	239

Stop Event

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

Counts

23 → 784

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (/.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(.f64 (/.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e)))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(.f64 (/.f64 (/.f64 e (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e))) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(.f64 (/.f64 (/.f64 e (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 e (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e))))
(*.f64 (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 e (-.f64 #s(literal -1 binary64) (.f64 (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 #s(literal 2 binary64) v)))) (.f64 e e) #s(literal -1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
(.f64 (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e)))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e)))))
(.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e))))))
(.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e))) (neg.f64 (sin.f64 v)))
(.f64 (/.f64 (.f64 (sin.f64 v) e) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
(.f64 (/.f64 (.f64 (sin.f64 v) e) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (*.f64 e e) #s(literal -1 binary64))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))))
(.f64 (/.f64 (.f64 (sin.f64 v) e) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e)))) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e)))
(.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))))
(.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))))
(.f64 (/.f64 (.f64 (sin.f64 v) e) (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #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 #s(literal 2 binary64) v)))) (.f64 e e) #s(literal -1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))))
(.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e)))))
(.f64 (/.f64 e (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e))))))
(.f64 (/.f64 e (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 (neg.f64 e) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) e) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) e)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (.f64 (sin.f64 v) e))
(*.f64 (neg.f64 e) (/.f64 (neg.f64 (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(.f64 (.f64 (neg.f64 e) (sin.f64 v)) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) (sin.f64 v)))
(.f64 (.f64 (sin.f64 v) e) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1 binary64))
(/.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))) (/.f64 #s(literal -1 binary64) (sin.f64 v)))
(/.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (neg.f64 e) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e)) (sin.f64 v)))
(/.f64 (.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e)))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
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(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(neg.f64 (.f64 (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 (sin.f64 v))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 (sin.f64 v))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v))) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 (sin.f64 v))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 (sin.f64 v))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 v)))
(*.f64 (sin.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 v))
(/.f64 (neg.f64 (sin.f64 v)) #s(literal -1 binary64))
(/.f64 (sin.f64 v) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(neg.f64 (neg.f64 (sin.f64 v)))
(sin.f64 v)
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 v)))
(.f64 (neg.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64))
(.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(.f64 #s(literal 1 binary64) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(/.f64 (neg.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64))
(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(neg.f64 (neg.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 (*.f64 v v) #s(literal 1/120 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 v v) #s(literal -1/720 binary64)))))))
(.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v) #s(literal -1/36 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 v v) #s(literal 1/120 binary64)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(.f64 (fma.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 v v) #s(literal -1/720 binary64))))))
(.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (.f64 v v) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (.f64 v v) #s(literal -1/6 binary64))))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (.f64 v v) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (.f64 v v) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (.f64 v v) #s(literal -1/6 binary64))) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v)))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 v v) #s(literal 1/120 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 v v) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 v v) #s(literal -1/720 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v))) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 v v) #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v) #s(literal -1/36 binary64))) (fma.f64 #s(literal -1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 v v) #s(literal 1/120 binary64)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal -1/216 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 v v) #s(literal -1/720 binary64))))))
(/.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v) #s(literal -1/36 binary64)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 v v) #s(literal 1/120 binary64)) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal -1/216 binary64)) (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 v v) #s(literal -1/720 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 v v) #s(literal 1/120 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 v v) #s(literal 1/120 binary64)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (fma.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 v v) v)) (.f64 (*.f64 v v) v) #s(literal -1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v) #s(literal -1/36 binary64))) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal -1/216 binary64))) (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 v v) #s(literal -1/720 binary64))))))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v) #s(literal -1/36 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 v v) #s(literal -1/6 binary64))))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal -1/216 binary64)) (neg.f64 (fma.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 v v) #s(literal -1/720 binary64)))))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/120 binary64) (.f64 v v) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))
(fma.f64 v (*.f64 #s(literal 1/120 binary64) v) #s(literal -1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 v v) #s(literal 1/120 binary64)))) (/.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v)) (-.f64 #s(literal -1/6 binary64) (.f64 (.f64 v v) #s(literal 1/120 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (.f64 v v) #s(literal -1/6 binary64))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/14400 binary64) (.f64 v v)) (.f64 v v)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)))))
(+.f64 (.f64 (.f64 v v) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 v v) #s(literal 1/120 binary64)))
(.f64 (neg.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64))
(.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(.f64 #s(literal 1 binary64) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(/.f64 (neg.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64))
(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(neg.f64 (neg.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))

eval208.0ms (2.5%)

Memory: -4.5MiB live, 579.7MiB allocated
Compiler: Compiled 27 070 to 2 763 computations (89.8% saved)

prune274.0ms (3.3%)

Memory

12.1MiB live, 810.1MiB allocated

Pruning

48 alts after pruning (44 fresh and 4 done)

	Pruned	Kept	Total
New	1 296	24	1 320
Fresh	10	20	30
Picked	3	2	5
Done	0	2	2
Total	1 309	48	1 357

Accuracy

100.0%

Counts

1 357 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.8%	(/.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
	97.9%	(/.f64 (.f64 (pow.f64 e #s(literal 1/4 binary64)) (.f64 (pow.f64 e #s(literal 1/4 binary64)) (.f64 (sqrt.f64 e) (sin.f64 v)))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	60.5%	(/.f64 (.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)))
	98.3%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (/.f64 (fma.f64 (.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))))
	98.3%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (+.f64 #s(literal 1 binary64) e) (.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e))))))
▶	52.2%	(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	51.7%	(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (.f64 e (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64))) (.f64 v v) (.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))))
	51.5%	(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
	52.2%	(/.f64 (.f64 e #s(approx (sin v) #s(approx ( (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
	98.1%	(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
	52.3%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
✓	99.6%	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
	97.3%	(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
	53.7%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
	53.8%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
	52.4%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
	96.7%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e)))
	96.7%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)) (sin.f64 v)))
	50.7%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)))))
	95.8%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)) (sin.f64 v))))
	52.4%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))))
	51.0%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))))
	52.4%	(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (.f64 v v) #s(literal 1/2 binary64)) (.f64 v v) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
	52.4%	(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) v) v (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
	51.1%	(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
▶	98.3%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
	97.9%	(.f64 (.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sqrt.f64 e)) (sqrt.f64 e))
	98.3%	(.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))))
	97.5%	(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)
	52.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
	52.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
	52.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
	52.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
	98.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))
✓	52.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
▶	52.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
▶	98.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
	52.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
	52.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e v) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e))))
	52.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
	51.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
	52.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
▶	51.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)))
	51.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 v (/.f64 #s(literal 1 binary64) e))))
✓	51.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))

Compiler

Compiled 1 595 to 889 computations (44.3% saved)

simplify171.0ms (2.1%)

Memory

11.6MiB live, 165.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
cost-diff	0	(sin.f64 v)
cost-diff	0	(/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
cost-diff	0	(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
cost-diff	0	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)
cost-diff	0	#s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))
cost-diff	0	(.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))
cost-diff	0	(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) e) e)
cost-diff	0	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))
cost-diff	0	(-.f64 v (*.f64 v e))
cost-diff	0	(.f64 (-.f64 v (.f64 v e)) e)
cost-diff	0	#s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)))
cost-diff	0	(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
cost-diff	0	(.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))

Rules

6 296×	`lower-fma.f32`
6 288×	`lower-fma.f64`
3 102×	`lower-*.f32`
3 084×	`lower-*.f64`
1 564×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	362
0	73	362
1	125	358
2	214	356
3	532	352
4	1406	352
5	2608	352
6	3143	352
7	3929	352
8	7327	352
0	8134	340

Stop Event

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

Calls

Call 1

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

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

localize133.0ms (1.6%)

Memory

-4.5MiB live, 354.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 v)
accuracy	0.0234375	(/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
accuracy	0.11328125	(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
accuracy	0.9439255418266577	#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
accuracy	0.1171875	(.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)))
accuracy	0.479388387509322	(fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))
accuracy	0.9439255418266577	#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
accuracy	30.56922360800597	#s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))
accuracy	0.0234375	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)
accuracy	0.03125	(/.f64 (+.f64 #s(literal 1 binary64) e) e)
accuracy	0.18359375	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))
accuracy	30.368254488016753	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
accuracy	0	(*.f64 v e)
accuracy	0.00390625	(.f64 (-.f64 v (.f64 v e)) e)
accuracy	0.8920208290747227	#s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e))
accuracy	30.368254488016753	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)))
accuracy	0	(cos.f64 v)
accuracy	0.03125	(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
accuracy	0.1171875	(.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)
accuracy	0.8791891898694595	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))

Samples

89.0ms

256×

valid

Compiler

Compiled 253 to 38 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 21.0ms (32.6% of total)

const: 12.0ms (18.6% of total)

ival-div: 8.0ms (12.4% of total)

ival-add: 8.0ms (12.4% of total)

ival-cos: 7.0ms (10.9% of total)

ival-sin: 6.0ms (9.3% of total)

ival-sub: 1.0ms (1.6% 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)

series39.0ms (0.5%)

Memory

1.3MiB live, 119.1MiB allocated

Counts

24 → 492

Calls

Call 1

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

Outputs
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)) #<representation binary64>) () ())) ())
#s(alt (* e (* v (+ 1 (* -1 e)))) (taylor 0 v) (#s(alt (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) (patch (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e))))) (taylor 0 v) (#s(alt (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) (patch (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))) (taylor 0 v) (#s(alt (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) (patch (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))) (taylor 0 v) (#s(alt (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) (patch (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* -1 e))) (taylor 0 v) (#s(alt (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))) (taylor 0 v) (#s(alt (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))) (taylor 0 v) (#s(alt (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e))))))))))))))) (taylor 0 v) (#s(alt (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 e)) (taylor 0 v) (#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2))))) (taylor 0 v) (#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e))))) (taylor 0 v) (#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2))))))))) (taylor 0 v) (#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e))) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)) (patch #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)) (patch #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)) (patch #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)) (patch #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)) #<representation binary64>) () ())) ())
#s(alt (* e (* v (- 1 e))) (taylor 0 v) (#s(alt (.f64 (-.f64 v (.f64 v e)) e) (patch (.f64 (-.f64 v (.f64 v e)) e) #<representation binary64>) () ())) ())
#s(alt (* e (* v (- 1 e))) (taylor 0 v) (#s(alt (.f64 (-.f64 v (.f64 v e)) e) (patch (.f64 (-.f64 v (.f64 v e)) e) #<representation binary64>) () ())) ())
#s(alt (* e (* v (- 1 e))) (taylor 0 v) (#s(alt (.f64 (-.f64 v (.f64 v e)) e) (patch (.f64 (-.f64 v (.f64 v e)) e) #<representation binary64>) () ())) ())
#s(alt (* e (* v (- 1 e))) (taylor 0 v) (#s(alt (.f64 (-.f64 v (.f64 v e)) e) (patch (.f64 (-.f64 v (.f64 v e)) e) #<representation binary64>) () ())) ())
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#s(alt (* (pow e 2) (+ (* -1 v) (/ v e))) (taylor -inf e) (#s(alt (.f64 (-.f64 v (.f64 v e)) e) (patch (.f64 (-.f64 v (.f64 v e)) e) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e v)) (taylor -inf e) (#s(alt (-.f64 v (.f64 v e)) (patch (-.f64 v (.f64 v e)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (/ v e)) (* -1 v)))) (taylor -inf e) (#s(alt (-.f64 v (.f64 v e)) (patch (-.f64 v (.f64 v e)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (/ v e)) (* -1 v)))) (taylor -inf e) (#s(alt (-.f64 v (.f64 v e)) (patch (-.f64 v (.f64 v e)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (/ v e)) (* -1 v)))) (taylor -inf e) (#s(alt (-.f64 v (.f64 v e)) (patch (-.f64 v (.f64 v e)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf e) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) (taylor -inf e) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) (taylor -inf e) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) 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 #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) 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 #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) #<representation binary64>) () ())) ())
#s(alt v (taylor -inf e) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) #<representation binary64>) () ())) ())
#s(alt (+ v (* -1 (/ v e))) (taylor -inf e) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) #<representation binary64>) () ())) ())
#s(alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) (taylor -inf e) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) #<representation binary64>) () ())) ())
#s(alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) (taylor -inf e) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf e) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) e) e) (patch (/.f64 (+.f64 #s(literal 1 binary64) e) e) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) e) e) (patch (/.f64 (+.f64 #s(literal 1 binary64) e) e) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) e) e) (patch (/.f64 (+.f64 #s(literal 1 binary64) e) e) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) e) e) (patch (/.f64 (+.f64 #s(literal 1 binary64) e) e) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<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 #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<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 #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) (patch (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) (patch (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) (patch (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) (patch (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e) (patch (.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e) (patch (.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e) (patch (.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e) (patch (.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (* e (cos v))) (taylor -inf e) (#s(alt (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (patch (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e)) (taylor -inf e) (#s(alt (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (patch (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e)) (taylor -inf e) (#s(alt (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (patch (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf e) (#s(alt (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (patch (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (* e v) (taylor -inf e) (#s(alt (.f64 v e) (patch (.f64 v e) #<representation binary64>) () ())) ())
#s(alt (* e v) (taylor -inf e) (#s(alt (.f64 v e) (patch (.f64 v e) #<representation binary64>) () ())) ())
#s(alt (* e v) (taylor -inf e) (#s(alt (.f64 v e) (patch (.f64 v e) #<representation binary64>) () ())) ())
#s(alt (* e v) (taylor -inf e) (#s(alt (.f64 v e) (patch (.f64 v e) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	v	@	inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (* (- v (* v e)) e) (- v (* v e)) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) (* v v)) 1) v) (* (/ (sin v) (+ 1 (* e (cos v)))) e) (/ (sin v) (+ 1 (* e (cos v)))) (sin v) (+ 1 (* e (cos v))) (cos v) (* v e) (+ 1 (* e (cos v))) (+ (* -1/5040 (* v v)) 1/120))
5.0ms	v	@	-inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (* (- v (* v e)) e) (- v (* v e)) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) (* v v)) 1) v) (* (/ (sin v) (+ 1 (* e (cos v)))) e) (/ (sin v) (+ 1 (* e (cos v)))) (sin v) (+ 1 (* e (cos v))) (cos v) (* v e) (+ 1 (* e (cos v))) (+ (* -1/5040 (* v v)) 1/120))
4.0ms	e	@	-inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (* (- v (* v e)) e) (- v (* v e)) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) (* v v)) 1) v) (* (/ (sin v) (+ 1 (* e (cos v)))) e) (/ (sin v) (+ 1 (* e (cos v)))) (sin v) (+ 1 (* e (cos v))) (cos v) (* v e) (+ 1 (* e (cos v))) (+ (* -1/5040 (* v v)) 1/120))
3.0ms	v	@	0	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (* (- v (* v e)) e) (- v (* v e)) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) (* v v)) 1) v) (* (/ (sin v) (+ 1 (* e (cos v)))) e) (/ (sin v) (+ 1 (* e (cos v)))) (sin v) (+ 1 (* e (cos v))) (cos v) (* v e) (+ 1 (* e (cos v))) (+ (* -1/5040 (* v v)) 1/120))
2.0ms	e	@	inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (* (- v (* v e)) e) (- v (* v e)) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* (+ (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) (* v v)) 1) v) (* (/ (sin v) (+ 1 (* e (cos v)))) e) (/ (sin v) (+ 1 (* e (cos v)))) (sin v) (+ 1 (* e (cos v))) (cos v) (* v e) (+ 1 (* e (cos v))) (+ (* -1/5040 (* v v)) 1/120))

simplify212.0ms (2.5%)

Memory

-7.6MiB live, 386.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 080×	`lower-fma.f64`
12 080×	`lower-fma.f32`
6 352×	`lower-*.f64`
6 352×	`lower-*.f32`
4 958×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	454	6540
1	1480	6330
2	4612	6111
0	8931	5814

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 483

Calls

Call 1

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

rewrite167.0ms (2%)

Memory

24.4MiB live, 368.7MiB allocated

Rules

5 116×	`lower-/.f32`
5 108×	`lower-/.f64`
4 496×	`lower-*.f32`
4 478×	`lower-*.f64`
3 108×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	302
0	73	298
1	259	296
2	1655	296
0	8496	284

Stop Event

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

Counts

24 → 583

Calls

Call 1

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

Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e))
(.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e))
(.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v))
(.f64 (.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(.f64 (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e))
(.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (.f64 (sin.f64 v) e))
(.f64 (.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(.f64 e (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))) (neg.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))))
(.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(*.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v)) (.f64 (.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v)) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (sin.f64 v)) (.f64 #s(literal 1 binary64) (sin.f64 v))) (.f64 (.f64 (.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v)) (.f64 #s(literal 1 binary64) (sin.f64 v))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) (sin.f64 v)) (.f64 #s(literal 1 binary64) (sin.f64 v)) (-.f64 (.f64 (.f64 (.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v)) (.f64 (.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v))) (.f64 (.f64 #s(literal 1 binary64) (sin.f64 v)) (.f64 (.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (neg.f64 e))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 v) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (neg.f64 e))) (.f64 (sin.f64 v) (.f64 (cos.f64 v) (neg.f64 e))) (-.f64 (.f64 (.f64 (sin.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) #s(literal 1 binary64))) (.f64 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (neg.f64 e))) (.f64 (sin.f64 v) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 v) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (neg.f64 e))) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (neg.f64 e))) (.f64 (sin.f64 v) (.f64 (cos.f64 v) (neg.f64 e)))) (.f64 (.f64 (sin.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) (.f64 (cos.f64 v) (neg.f64 e)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) #s(literal -1 binary64)) (sin.f64 v))) (neg.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (sin.f64 v))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (sin.f64 v) (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(/.f64 (.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) #s(literal -1 binary64)) (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (fma.f64 (cos.f64 v) 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 #s(literal 2 binary64) v)))) (.f64 e e) #s(literal -1 binary64))) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)))
(/.f64 (.f64 (sin.f64 v) (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (*.f64 e e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) #s(literal -1 binary64)) (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (.f64 (sin.f64 v) (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v) (.f64 #s(literal 1 binary64) (sin.f64 v)))
(fma.f64 (sin.f64 v) (.f64 (cos.f64 v) (neg.f64 e)) (.f64 (sin.f64 v) #s(literal 1 binary64)))
(fma.f64 (sin.f64 v) #s(literal 1 binary64) (.f64 (sin.f64 v) (.f64 (cos.f64 v) (neg.f64 e))))
(fma.f64 #s(literal 1 binary64) (sin.f64 v) (.f64 (.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v)))
(+.f64 (.f64 (.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))
(+.f64 (.f64 #s(literal 1 binary64) (sin.f64 v)) (.f64 (*.f64 (cos.f64 v) (neg.f64 e)) (sin.f64 v)))
(+.f64 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (neg.f64 e))) (*.f64 (sin.f64 v) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (neg.f64 e))))
(*.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (*.f64 e e))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) (.f64 e e) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 v) e) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) #s(literal 1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))) (/.f64 (.f64 (sin.f64 v) e) (neg.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))))
(.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(pow.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (sin.f64 v) #s(literal 1 binary64))) (neg.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 v)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))))
(/.f64 (.f64 (sin.f64 v) #s(literal 1 binary64)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))))
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))))
(/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(neg.f64 (/.f64 (sin.f64 v) (neg.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))) (/.f64 (sin.f64 v) (neg.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))) #s(literal -1 binary64)))
(sin.f64 v)
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(cos.f64 v)
(*.f64 v e)
(*.f64 e v)
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -1/128024064000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v)) (-.f64 #s(literal 1/14400 binary64) (.f64 (*.f64 v v) #s(literal -1/604800 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 (.f64 v 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 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (fma.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v))))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) #s(literal -1/5040 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/128024064000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v)) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 v v) #s(literal -1/604800 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v))) (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v)))) #s(literal 1/207360000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/128024064000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v)) (.f64 (.f64 #s(literal -1/128024064000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v))) #s(literal 1/2985984000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v))) (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v))) (+.f64 #s(literal 1/207360000 binary64) (.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v))) #s(literal 1/14400 binary64)))) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/128024064000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v)) (.f64 (.f64 #s(literal -1/128024064000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v))) #s(literal 1/2985984000000 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 #s(literal -1/128024064000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v)) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 v v) #s(literal -1/604800 binary64))))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/128024064000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v)) (.f64 (.f64 #s(literal -1/128024064000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v))) (.f64 (.f64 #s(literal -1/128024064000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v)) #s(literal 1/5159780352000000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 #s(literal -1/128024064000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v)) (.f64 (.f64 #s(literal -1/128024064000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v)) (-.f64 #s(literal 1/2985984000000 binary64) (.f64 (.f64 (.f64 (.f64 v v) v) (.f64 (.f64 v v) v)) #s(literal -1/221225582592000000 binary64)))) (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v)) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 v v) #s(literal -1/604800 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (.f64 (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (.f64 (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v)))) (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) #s(literal -1/5040 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/128024064000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v))) (.f64 (*.f64 v v) #s(literal -1/604800 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/128024064000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v)) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 v v) #s(literal -1/604800 binary64))))))
(/.f64 (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v)) #s(literal -1/14400 binary64)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal -1/128024064000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v))) (.f64 (*.f64 v v) #s(literal -1/604800 binary64)))))
(/.f64 (fma.f64 (.f64 #s(literal -1/128024064000 binary64) (.f64 (.f64 v v) v)) (.f64 (.f64 v v) v) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v)) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 v v) #s(literal -1/604800 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) #s(literal -1/5040 binary64))) (-.f64 #s(literal 1/14400 binary64) (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v))) (.f64 (.f64 v v) #s(literal -1/604800 binary64)))) (fma.f64 (.f64 #s(literal -1/128024064000 binary64) (.f64 (.f64 v v) v)) (.f64 (*.f64 v v) v) #s(literal 1/1728000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) v) v #s(literal 1/120 binary64))
(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))
(fma.f64 v (*.f64 #s(literal -1/5040 binary64) v) #s(literal 1/120 binary64))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) #s(literal -1/5040 binary64)))) (/.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v))) (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) #s(literal -1/5040 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/25401600 binary64) (.f64 (.f64 v v) (.f64 v v))) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
(+.f64 (.f64 (.f64 v v) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) #s(literal -1/5040 binary64)))

eval174.0ms (2.1%)

Memory: 10.4MiB live, 491.6MiB allocated
Compiler: Compiled 23 185 to 2 516 computations (89.1% saved)

prune236.0ms (2.8%)

Memory

-13.6MiB live, 754.4MiB allocated

Pruning

49 alts after pruning (42 fresh and 7 done)

	Pruned	Kept	Total
New	1 061	17	1 078
Fresh	14	25	39
Picked	2	3	5
Done	0	4	4
Total	1 077	49	1 126

Accuracy

100.0%

Counts

1 126 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.8%	(/.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
	97.9%	(/.f64 (.f64 (pow.f64 e #s(literal 1/4 binary64)) (.f64 (pow.f64 e #s(literal 1/4 binary64)) (.f64 (sqrt.f64 e) (sin.f64 v)))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	98.3%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (+.f64 #s(literal 1 binary64) e) (.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e))))))
	51.4%	(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
	51.5%	(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
	98.1%	(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
	52.3%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	52.5%	(/.f64 #s(approx (* e (sin v)) (.f64 v e)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
✓	99.6%	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
	97.3%	(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
	53.8%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
	52.4%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
	96.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
	96.7%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)) (sin.f64 v)))
	95.8%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)) (sin.f64 v))))
	52.4%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))))
	51.0%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))))
	52.4%	(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) v) v (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
	51.1%	(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
✓	98.3%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
	97.9%	(.f64 (.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sqrt.f64 e)) (sqrt.f64 e))
	98.3%	(.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))))
	97.5%	(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)
	40.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 v (-.f64 #s(literal 0 binary64) (.f64 e e))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal 0 binary64) e))))
	52.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
	52.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
✓	52.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
✓	98.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
	52.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
	58.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (fma.f64 (.f64 e (fma.f64 (.f64 v v) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) (sin.f64 v)) e))
	97.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
	98.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (sin.f64 v)))
	52.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e v) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e))))
	52.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
	51.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
	51.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
	40.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (.f64 e (.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v))) (fma.f64 v e v))))
	51.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v))) e)))
✓	51.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)))
	46.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (*.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v))) e)))
	51.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
	27.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (neg.f64 e) v)) e)))
	51.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 v (/.f64 #s(literal 1 binary64) e))))
✓	51.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
	52.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ 1 (/ (+ 1 e) e)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
	51.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (fma.f64 (.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 e #s(literal 4/315 binary64))) (.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))))) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
	70.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
	51.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)))))

Compiler

Compiled 2 037 to 714 computations (64.9% saved)

regimes82.0ms (1%)

Memory

11.7MiB live, 249.1MiB allocated

Counts

86 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ 1 (/ (+ 1 e) e)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v e)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 v (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e v) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 #s(literal -1 binary64) v) (.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) #s(approx ( (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 v (-.f64 #s(literal 0 binary64) (.f64 e e))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal 0 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (.f64 e (.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v))) (fma.f64 v e v))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (*.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v))) e)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) v) v (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (fma.f64 (.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 e #s(literal 4/315 binary64))) (.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))))) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (.f64 e (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64))) (.f64 v v) (.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (.f64 v v) #s(literal 1/2 binary64)) (.f64 v v) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)) (sin.f64 v))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (fma.f64 (.f64 e (fma.f64 (.f64 v v) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) (sin.f64 v)) e))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))))
(.f64 (.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sqrt.f64 e)) (sqrt.f64 e))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (+.f64 #s(literal 1 binary64) e) (.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e))))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (/.f64 (fma.f64 (.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))
(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (.f64 (sin.f64 v) e))
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 (pow.f64 e #s(literal 1/4 binary64)) (.f64 (pow.f64 e #s(literal 1/4 binary64)) (.f64 (sqrt.f64 e) (sin.f64 v)))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (neg.f64 e) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (sin.f64 v) e) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (neg.f64 e) (sin.f64 v)))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))

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

Calls

3 calls:

26.0ms	v
26.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
25.0ms	e

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes71.0ms (0.9%)

Memory

-21.3MiB live, 220.3MiB allocated

Counts

76 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ 1 (/ (+ 1 e) e)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v e)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 v (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e v) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 #s(literal -1 binary64) v) (.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) #s(approx ( (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 v (-.f64 #s(literal 0 binary64) (.f64 e e))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal 0 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (.f64 e (.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v))) (fma.f64 v e v))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (*.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v))) e)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) v) v (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (fma.f64 (.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 e #s(literal 4/315 binary64))) (.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))))) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (.f64 e (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64))) (.f64 v v) (.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (.f64 v v) #s(literal 1/2 binary64)) (.f64 v v) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)) (sin.f64 v))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (fma.f64 (.f64 e (fma.f64 (.f64 v v) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) (sin.f64 v)) e))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))))
(.f64 (.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sqrt.f64 e)) (sqrt.f64 e))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (+.f64 #s(literal 1 binary64) e) (.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e))))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (/.f64 (fma.f64 (.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))
(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)

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

Calls

3 calls:

23.0ms	v
23.0ms	e
22.0ms	(/.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)

regimes70.0ms (0.8%)

Memory

17.9MiB live, 216.8MiB allocated

Counts

75 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ 1 (/ (+ 1 e) e)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v e)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 v (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e v) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 #s(literal -1 binary64) v) (.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) #s(approx ( (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 v (-.f64 #s(literal 0 binary64) (.f64 e e))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal 0 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (.f64 e (.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v))) (fma.f64 v e v))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (*.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v))) e)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) v) v (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (fma.f64 (.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 e #s(literal 4/315 binary64))) (.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))))) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (.f64 e (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64))) (.f64 v v) (.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (.f64 v v) #s(literal 1/2 binary64)) (.f64 v v) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)) (sin.f64 v))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (fma.f64 (.f64 e (fma.f64 (.f64 v v) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) (sin.f64 v)) e))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))))
(.f64 (.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sqrt.f64 e)) (sqrt.f64 e))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (+.f64 #s(literal 1 binary64) e) (.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e))))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (/.f64 (fma.f64 (.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))
(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) e)

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

Calls

3 calls:

22.0ms	v
22.0ms	e
22.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
98.5%	1	`e`
98.5%	1	`v`
98.5%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes81.0ms (1%)

Memory

-36.1MiB live, 210.9MiB allocated

Counts

72 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ 1 (/ (+ 1 e) e)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v e)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 v (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e v) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 #s(literal -1 binary64) v) (.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) #s(approx ( (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 v (-.f64 #s(literal 0 binary64) (.f64 e e))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal 0 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (.f64 e (.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v))) (fma.f64 v e v))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (*.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v))) e)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) v) v (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (fma.f64 (.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 e #s(literal 4/315 binary64))) (.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))))) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (.f64 e (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64))) (.f64 v v) (.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (.f64 v v) #s(literal 1/2 binary64)) (.f64 v v) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)) (sin.f64 v))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (fma.f64 (.f64 e (fma.f64 (.f64 v v) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) (sin.f64 v)) e))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))))
(.f64 (.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sqrt.f64 e)) (sqrt.f64 e))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (+.f64 #s(literal 1 binary64) e) (.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e))))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (/.f64 (fma.f64 (.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (sin.f64 v)))

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

Calls

3 calls:

34.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
21.0ms	v
21.0ms	e

Results

Accuracy	Segments	Branch
98.4%	1	`e`
98.4%	1	`v`
98.4%	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)

regimes67.0ms (0.8%)

Memory

10.4MiB live, 209.2MiB allocated

Counts

71 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ 1 (/ (+ 1 e) e)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v e)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 v (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e v) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 #s(literal -1 binary64) v) (.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) #s(approx ( (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 v (-.f64 #s(literal 0 binary64) (.f64 e e))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal 0 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (.f64 e (.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v))) (fma.f64 v e v))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (*.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v))) e)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) v) v (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (fma.f64 (.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 e #s(literal 4/315 binary64))) (.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))))) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (.f64 e (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64))) (.f64 v v) (.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (.f64 v v) #s(literal 1/2 binary64)) (.f64 v v) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)) (sin.f64 v))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (fma.f64 (.f64 e (fma.f64 (.f64 v v) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) (sin.f64 v)) e))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))))
(.f64 (.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sqrt.f64 e)) (sqrt.f64 e))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (+.f64 #s(literal 1 binary64) e) (.f64 (-.f64 e #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) e))))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (/.f64 (fma.f64 (.f64 e e) e #s(literal 1 binary64)) (*.f64 (fma.f64 e e (-.f64 #s(literal 1 binary64) e)) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))) (+.f64 (fma.f64 e e #s(literal -1 binary64)) e))))

Outputs

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

Calls

3 calls:

22.0ms	e
22.0ms	v
20.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
98.3%	1	`e`
98.3%	1	`v`
98.3%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes65.0ms (0.8%)

Memory

1.8MiB live, 200.9MiB allocated

Counts

69 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ 1 (/ (+ 1 e) e)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v e)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 v (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e v) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 #s(literal -1 binary64) v) (.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) #s(approx ( (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 v (-.f64 #s(literal 0 binary64) (.f64 e e))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal 0 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (.f64 e (.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v))) (fma.f64 v e v))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (*.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v))) e)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) v) v (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (fma.f64 (.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 e #s(literal 4/315 binary64))) (.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))))) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (.f64 e (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64))) (.f64 v v) (.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (.f64 v v) #s(literal 1/2 binary64)) (.f64 v v) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)) (sin.f64 v))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)) (neg.f64 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (fma.f64 (.f64 e (fma.f64 (.f64 v v) #s(literal -1/24 binary64) #s(literal 1/2 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) (sin.f64 v)) e))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v))))
(.f64 (.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sqrt.f64 e)) (sqrt.f64 e))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 e (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (sin.f64 v) e) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.3%	1	`e`
98.3%	1	`v`
98.3%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes54.0ms (0.7%)

Memory

3.8MiB live, 165.0MiB allocated

Counts

56 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ 1 (/ (+ 1 e) e)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v e)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 v (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e v) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 #s(literal -1 binary64) v) (.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) #s(approx ( (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 v (-.f64 #s(literal 0 binary64) (.f64 e e))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal 0 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (.f64 e (.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v))) (fma.f64 v e v))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (*.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v))) e)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) v) v (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (fma.f64 (.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 e #s(literal 4/315 binary64))) (.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))))) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (.f64 e (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64))) (.f64 v v) (.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (.f64 v v) #s(literal 1/2 binary64)) (.f64 v v) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
(.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.3%	1	`e`
98.3%	1	`v`
98.3%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes53.0ms (0.6%)

Memory

8.2MiB live, 167.7MiB allocated

Counts

54 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ 1 (/ (+ 1 e) e)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v e)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 v (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e v) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 #s(literal -1 binary64) v) (.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) #s(approx ( (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 v (-.f64 #s(literal 0 binary64) (.f64 e e))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal 0 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (.f64 e (.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v))) (fma.f64 v e v))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (*.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v))) e)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) v) v (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (fma.f64 (.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 e #s(literal 4/315 binary64))) (.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))))) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (.f64 e (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64))) (.f64 v v) (.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (.f64 v v) #s(literal 1/2 binary64)) (.f64 v v) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))

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

Calls

3 calls:

17.0ms	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
97.7%	1	`e`
97.7%	1	`v`
97.7%	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

3.1MiB live, 163.3MiB allocated

Counts

53 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ 1 (/ (+ 1 e) e)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v e)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 v (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e v) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 #s(literal -1 binary64) v) (.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) #s(approx ( (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 v (-.f64 #s(literal 0 binary64) (.f64 e e))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal 0 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (.f64 e (.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v))) (fma.f64 v e v))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (*.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v))) e)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) v) v (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (fma.f64 (.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 e #s(literal 4/315 binary64))) (.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))))) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (.f64 e (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64))) (.f64 v v) (.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (.f64 v v) #s(literal 1/2 binary64)) (.f64 v v) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.5%	1	`e`
97.5%	1	`v`
97.5%	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)

regimes50.0ms (0.6%)

Memory

-0.1MiB live, 159.5MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ 1 (/ (+ 1 e) e)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v e)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 v (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e v) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 #s(literal -1 binary64) v) (.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) #s(approx ( (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 v (-.f64 #s(literal 0 binary64) (.f64 e e))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal 0 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (.f64 e (.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v))) (fma.f64 v e v))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (*.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v))) e)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) v) v (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (fma.f64 (.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 e #s(literal 4/315 binary64))) (.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))))) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (sin v) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)))))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (.f64 e (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64))) (.f64 v v) (.f64 #s(literal -1/2 binary64) e)) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (fma.f64 (fma.f64 (+.f64 #s(literal -1/24 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -7/360 binary64)))) (.f64 v v) #s(literal 1/2 binary64)) (.f64 v v) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) (fma.f64 (*.f64 #s(literal -1/6 binary64) v) v #s(literal -1 binary64)))) v)))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.8%	1	`e`
53.8%	1	`v`
53.8%	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)

regimes40.0ms (0.5%)

Memory

3.0MiB live, 124.2MiB allocated

Counts

40 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (-.f64 v (.f64 v e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ 1 (/ (+ 1 e) e)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v e)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 v (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx (- v ( v e)) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e v) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v #s(approx (/ (+ 1 e) e) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
(/.f64 #s(literal -1 binary64) #s(approx (* (/ -1 e) (/ (+ 1 (* e (cos v))) (sin v))) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 e) v v))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 #s(literal -1 binary64) v) (.f64 (/.f64 #s(literal -1 binary64) e) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) #s(approx ( (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1) v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 v (-.f64 #s(literal 0 binary64) (.f64 e e))) (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 e)) (+.f64 #s(literal 0 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (/.f64 (.f64 e (.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v))) (fma.f64 v e v))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) e) #s(approx (/ (+ 1 ( e (cos v))) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v))))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (/.f64 v (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sqrt.f64 e) (/.f64 (sqrt.f64 e) (+.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (*.f64 (fma.f64 v e v) (fma.f64 (neg.f64 e) v v)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v))) e)))
(/.f64 (.f64 e #s(approx (sin v) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (*.f64 (/.f64 (fma.f64 e e #s(literal -1 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 e #s(literal 1 binary64))))))

Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e v) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 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
52.5%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
52.5%	1	`e`
52.5%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes19.0ms (0.2%)

Memory

-18.4MiB live, 60.9MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
52.5%	1	`e`
52.5%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
52.5%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes14.0ms (0.2%)

Memory

4.3MiB live, 45.5MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	e
4.0ms	v
4.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
52.0%	1	`e`
52.0%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
52.0%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes11.0ms (0.1%)

Memory

-4.1MiB live, 35.8MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	e
3.0ms	v
3.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
51.9%	1	`e`
51.9%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
51.9%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes7.0ms (0.1%)

Memory

27.2MiB live, 27.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.9%	1	`e`
51.9%	1	`v`
51.9%	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)

regimes6.0ms (0.1%)

Memory

-19.1MiB live, 20.7MiB allocated

Accuracy

Total -16.3b remaining (-52.8%)

Threshold costs -16.3b (-52.8%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.7%	1	`e`
51.7%	1	`v`
51.7%	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)

simplify10.0ms (0.1%)

Memory

-14.6MiB live, 25.1MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative_binary64`
20×	`+-commutative_binary64`
18×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	340
1	128	340
2	145	340
3	155	340
4	157	340

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.3s (15.1%)

Memory

14.3MiB live, 1 415.3MiB allocated

Rules

17 764×	`lower-fma.f64`
17 764×	`lower-fma.f32`
12 764×	`lower-fma.f64`
12 764×	`lower-fma.f32`
12 080×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	319	4945
1	989	4817
2	2827	4645
0	8152	4379
0	454	6540
1	1480	6330
2	4612	6111
0	8931	5814
0	339	6028
1	1031	5910
2	2981	5772
0	8172	5398
0	9	29
0	15	29
1	42	29
2	241	29
3	2097	29
0	8370	27
0	27	126
0	43	119
1	152	115
2	779	115
3	7947	115
0	8503	115
0	195	1209
1	584	1194
2	1652	1162
3	4899	1089
0	8542	1013

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
1×	iter limit
1×	node limit

Compiler

Compiled 528 to 262 computations (50.4% saved)

preprocess141.0ms (1.7%)

Memory: -8.9MiB live, 426.4MiB allocated
Remove: (negabs v)
Compiler: Compiled 630 to 294 computations (53.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze7.0ms (0.1%)

sample1.3s (16.1%)

explain129.0ms (1.6%)

preprocess72.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize35.0ms (0.4%)

series15.0ms (0.2%)

simplify196.0ms (2.4%)

rewrite174.0ms (2.1%)

eval92.0ms (1.1%)

prune116.0ms (1.4%)

simplify216.0ms (2.6%)

localize80.0ms (1%)

series25.0ms (0.3%)

simplify173.0ms (2.1%)

rewrite200.0ms (2.4%)

eval273.0ms (3.3%)

prune298.0ms (3.6%)

simplify102.0ms (1.2%)

localize111.0ms (1.3%)

series39.0ms (0.5%)

simplify586.0ms (7%)

rewrite276.0ms (3.3%)

eval208.0ms (2.5%)

prune274.0ms (3.3%)

simplify171.0ms (2.1%)

localize133.0ms (1.6%)

series39.0ms (0.5%)

simplify212.0ms (2.5%)

rewrite167.0ms (2%)

eval174.0ms (2.1%)

prune236.0ms (2.8%)

regimes82.0ms (1%)

regimes71.0ms (0.9%)

regimes70.0ms (0.8%)

regimes81.0ms (1%)

regimes67.0ms (0.8%)

regimes65.0ms (0.8%)

regimes54.0ms (0.7%)

regimes53.0ms (0.6%)

regimes51.0ms (0.6%)

regimes50.0ms (0.6%)

regimes40.0ms (0.5%)

regimes19.0ms (0.2%)

regimes14.0ms (0.2%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

simplify10.0ms (0.1%)

soundness1.3s (15.1%)

preprocess141.0ms (1.7%)

end0.0ms (0%)

Profiling