Metrics for Trigonometry A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze7.0ms (0.1%)

Memory

-19.4MiB live, 20.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.2s (13.1%)

Memory

86.4MiB live, 3 231.6MiB allocated

Samples

905.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 710.0ms

ival-sin: 213.0ms (30% of total)

ival-cos: 200.0ms (28.2% of total)

ival-mult: 130.0ms (18.3% of total)

ival-<=: 55.0ms (7.7% of total)

ival-div: 47.0ms (6.6% of total)

ival-add: 40.0ms (5.6% of total)

ival-and: 11.0ms (1.5% of total)

exact: 11.0ms (1.5% of total)

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

Bogosity

explain117.0ms (1.3%)

Memory

-31.0MiB live, 369.1MiB 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

50.0ms

512×

valid

Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sin: 11.0ms (32.2% of total)

ival-cos: 10.0ms (29.3% of total)

ival-mult: 7.0ms (20.5% of total)

ival-div: 3.0ms (8.8% of total)

ival-add: 2.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess73.0ms (0.8%)

Memory

25.4MiB live, 68.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs v)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify6.0ms (0.1%)

Memory

-26.9MiB live, 12.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (0.4%)

Memory

-2.8MiB live, 117.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sin.f64 v)
accuracy	0.01171875	(/.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	0.1484375	(*.f64 e (cos.f64 v))

Samples

25.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-cos: 5.0ms (29.9% of total)

ival-sin: 5.0ms (29.9% of total)

ival-mult: 3.0ms (17.9% of total)

ival-div: 1.0ms (6% of total)

ival-add: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

5.5MiB live, 44.9MiB allocated

Counts

5 → 108

Calls

Call 1

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

Outputs
#s(alt (+ 1 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 (* 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 (+ 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 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	@	-inf	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)))
3.0ms	e	@	0	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (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)))
2.0ms	e	@	inf	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)))
1.0ms	v	@	inf	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)))

simplify293.0ms (3.2%)

Memory

14.1MiB live, 686.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	1153
1	554	1138
2	1582	1106
3	5266	1024
0	8387	956

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 106

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

rewrite328.0ms (3.5%)

Memory

0.9MiB live, 881.2MiB 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	27
0	15	27
1	42	27
2	241	27
3	2097	27
0	8370	25

Stop Event

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

Counts

5 → 344

Calls

Call 1

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

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(+.f64 (neg.f64 (neg.f64 (*.f64 e (cos.f64 v)))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 e (cos.f64 v))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log1p.f64 (.f64 e (cos.f64 v))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (/.f64 (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (neg.f64 (*.f64 e (cos.f64 v))) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))) #s(literal -1 binary64)) (/.f64 (/.f64 (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (.f64 e (cos.f64 v)) #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))
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(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (sin.f64 v) (.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(.f64 (.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (.f64 (sin.f64 v) (neg.f64 e)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (fma.f64 (cos.f64 v) (.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (.f64 e (sin.f64 v)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (/.f64 (.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(.f64 (neg.f64 (sin.f64 v)) (.f64 e (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(.f64 (neg.f64 (sin.f64 v)) (/.f64 e (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (.f64 (sin.f64 v) (neg.f64 e)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 e (sin.f64 v))) #s(literal -1 binary64)))
(.f64 (neg.f64 e) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(.f64 (neg.f64 e) (.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (.f64 e (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 e (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (.f64 e (sin.f64 v))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (.f64 (sin.f64 v) (.f64 e (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (*.f64 e (sin.f64 v))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (.f64 e (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (fma.f64 (cos.f64 v) (.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (.f64 (fma.f64 (cos.f64 v) (.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)) e))
(.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) e) #s(literal -1 binary64)))
(.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))))
(.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e))
(.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) e) #s(literal -1 binary64)))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v)))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))))
(.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 e (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 e #s(literal 1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(.f64 (.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (neg.f64 e))) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 v) (.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (sin.f64 v) (neg.f64 e)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (fma.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 e (sin.f64 v))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (sin.f64 v)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64)) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) (neg.f64 e)))
(neg.f64 (*.f64 (sin.f64 v) (neg.f64 e)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (sin.f64 v) (neg.f64 e)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 e (sin.f64 v)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (sin.f64 v) (neg.f64 e))))))
(.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
(*.f64 e (neg.f64 (neg.f64 (sin.f64 v))))
(.f64 e (.f64 (sin.f64 v) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) (neg.f64 (neg.f64 e)))
(.f64 (.f64 e (sin.f64 v)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (sin.f64 v) (neg.f64 e)))
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e))
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v)))
(*.f64 (neg.f64 (neg.f64 (sin.f64 v))) e)
(*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v))
(sin.f64 v)
(exp.f64 (log.f64 (*.f64 e (cos.f64 v))))
(exp.f64 (.f64 (log.f64 (.f64 e (cos.f64 v))) #s(literal 1 binary64)))
(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))
(*.f64 e (cos.f64 v))
(*.f64 (cos.f64 v) e)
(.f64 (.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v))))

eval62.0ms (0.7%)

Memory: -11.1MiB live, 195.6MiB allocated
Compiler: Compiled 13 419 to 1 234 computations (90.8% saved)

prune66.0ms (0.7%)

Memory

-0.3MiB live, 240.7MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	440	10	450
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	441	10	451

Accuracy

99.9%

Counts

451 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.7%	(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	99.8%	(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
	98.9%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
▶	99.7%	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
▶	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
	99.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (*.f64 e e) e)))
	53.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
▶	54.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
▶	99.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
▶	98.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))

Compiler

Compiled 282 to 168 computations (40.4% saved)

simplify121.0ms (1.3%)

Memory

6.1MiB live, 125.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

1 544×	`lower-fma.f32`
1 542×	`lower-fma.f64`
1 112×	`lower-*.f32`
1 100×	`lower-*.f64`
574×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	181
0	42	178
1	65	178
2	97	178
3	181	178
4	455	178
5	665	178
6	821	178
7	1172	178
8	1457	178
9	1827	178
10	2562	178
11	3005	178
12	3417	178
13	3444	178
14	3464	178
15	3468	178
16	3468	178
0	3468	178

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize88.0ms (1%)

Memory

-12.6MiB live, 270.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(cos.f64 v)
accuracy	0.0078125	(sin.f64 v)
accuracy	0.1171875	(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
accuracy	0.1328125	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
accuracy	0.01953125	(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
accuracy	0.1328125	(.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
accuracy	0.1484375	(*.f64 e (cos.f64 v))
accuracy	0.22569083693694408	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
accuracy	0.0078125	(sin.f64 v)
accuracy	0.1171875	(*.f64 e (sin.f64 v))
accuracy	0.78228312927894	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
accuracy	0	(+.f64 #s(literal 1 binary64) e)
accuracy	0.0078125	(/.f64 e (+.f64 #s(literal 1 binary64) e))
accuracy	0.0078125	(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
accuracy	29.283659301610562	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
accuracy	0.00390625	(cos.f64 v)
accuracy	0.0078125	(sin.f64 v)
accuracy	0.015625	(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
accuracy	0.12890625	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)

Samples

57.0ms

256×

valid

Compiler

Compiled 164 to 22 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-sin: 14.0ms (35.8% of total)

ival-mult: 8.0ms (20.5% of total)

ival-div: 7.0ms (17.9% of total)

ival-cos: 5.0ms (12.8% of total)

ival-add: 3.0ms (7.7% of total)

ival-sub: 2.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.4%)

Memory

28.6MiB live, 107.5MiB allocated

Counts

17 → 360

Calls

Call 1

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

Outputs
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (/ v (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 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)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 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)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 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 e (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* -1/2 (* e (pow v 2))))) (taylor 0 v) (#s(alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) (taylor 0 v) (#s(alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 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 e (cos.f64 v) #s(literal 1 binary64)) (patch (fma.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)))) (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))) #<representation binary64>) () ())) ())
#s(alt (* 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 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))) #<representation binary64>) () ())) ())
#s(alt (* 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 e (+.f64 #s(literal 1 binary64) e)))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))) #<representation binary64>) () ())) ())
#s(alt (* 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 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (patch (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (patch (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (patch (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (patch (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (sin.f64 v))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v))) #<representation binary64>) () ())) ())
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#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 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))) #<representation binary64>) () ())) ())
#s(alt v (taylor -inf e) (#s(alt (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (patch (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (+ v (* -1 (/ v e))) (taylor -inf e) (#s(alt (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (patch (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) (taylor -inf e) (#s(alt (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (patch (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) (taylor -inf e) (#s(alt (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) (patch (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf e) (#s(alt (/.f64 e (+.f64 #s(literal 1 binary64) e)) (patch (/.f64 e (+.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 e (+.f64 #s(literal 1 binary64) e)) (patch (/.f64 e (+.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) (taylor -inf e) (#s(alt (/.f64 e (+.f64 #s(literal 1 binary64) e)) (patch (/.f64 e (+.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) (taylor -inf e) (#s(alt (/.f64 e (+.f64 #s(literal 1 binary64) e)) (patch (/.f64 e (+.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt e (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) e) (patch (+.f64 #s(literal 1 binary64) e) #<representation binary64>) () ())) ())
#s(alt (* e (+ 1 (/ 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 (+ 1 (/ 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 (+ 1 (/ 1 e))) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) e) (patch (+.f64 #s(literal 1 binary64) e) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (sin.f64 v))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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 e (sin.f64 v))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 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 #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (sin.f64 v))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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 e (sin.f64 v))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (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 #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (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 #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (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 #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow e 2) (* (cos v) (sin v)))) (taylor -inf e) (#s(alt (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))) (patch (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) (taylor -inf e) (#s(alt (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))) (patch (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) (taylor -inf e) (#s(alt (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))) (patch (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) (taylor -inf e) (#s(alt (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))) (patch (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (* (cos v) (sin v)))) (taylor -inf e) (#s(alt (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) (taylor -inf e) (#s(alt (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) (taylor -inf e) (#s(alt (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v))))) (taylor -inf e) (#s(alt (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (cos v)) (sin v)) (taylor -inf e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* 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
5.0ms	v	@	0	((* (/ (sin v) (+ (* e (cos v)) 1)) e) (/ (sin v) (+ (* e (cos v)) 1)) (sin v) (+ (* e (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* v (/ e (+ 1 e))) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (* (sin v) (- 1 (* e (cos v))))) (* (sin v) (- 1 (* e (cos v)))) (/ e (/ (+ (* e (cos v)) 1) (sin v))) (/ (+ (* e (cos v)) 1) (sin v)) (cos v) (* e (cos v)))
5.0ms	e	@	inf	((* (/ (sin v) (+ (* e (cos v)) 1)) e) (/ (sin v) (+ (* e (cos v)) 1)) (sin v) (+ (* e (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* v (/ e (+ 1 e))) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (* (sin v) (- 1 (* e (cos v))))) (* (sin v) (- 1 (* e (cos v)))) (/ e (/ (+ (* e (cos v)) 1) (sin v))) (/ (+ (* e (cos v)) 1) (sin v)) (cos v) (* e (cos v)))
4.0ms	v	@	-inf	((* (/ (sin v) (+ (* e (cos v)) 1)) e) (/ (sin v) (+ (* e (cos v)) 1)) (sin v) (+ (* e (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* v (/ e (+ 1 e))) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (* (sin v) (- 1 (* e (cos v))))) (* (sin v) (- 1 (* e (cos v)))) (/ e (/ (+ (* e (cos v)) 1) (sin v))) (/ (+ (* e (cos v)) 1) (sin v)) (cos v) (* e (cos v)))
4.0ms	e	@	-inf	((* (/ (sin v) (+ (* e (cos v)) 1)) e) (/ (sin v) (+ (* e (cos v)) 1)) (sin v) (+ (* e (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* v (/ e (+ 1 e))) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (* (sin v) (- 1 (* e (cos v))))) (* (sin v) (- 1 (* e (cos v)))) (/ e (/ (+ (* e (cos v)) 1) (sin v))) (/ (+ (* e (cos v)) 1) (sin v)) (cos v) (* e (cos v)))
3.0ms	v	@	inf	((* (/ (sin v) (+ (* e (cos v)) 1)) e) (/ (sin v) (+ (* e (cos v)) 1)) (sin v) (+ (* e (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* v (/ e (+ 1 e))) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (* (sin v) (- 1 (* e (cos v))))) (* (sin v) (- 1 (* e (cos v)))) (/ e (/ (+ (* e (cos v)) 1) (sin v))) (/ (+ (* e (cos v)) 1) (sin v)) (cos v) (* e (cos v)))

simplify309.0ms (3.3%)

Memory

-2.8MiB live, 711.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 780×	`lower-fma.f64`
11 780×	`lower-fma.f32`
6 294×	`lower-*.f64`
6 294×	`lower-*.f32`
4 798×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	442	5741
1	1405	5585
2	4355	5420
0	8761	5110

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 353

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))))
(/ 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)))))))
(/ (* 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))
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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)))
(/ (* e (cos v)) (sin v))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))

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

rewrite707.0ms (7.6%)

Memory

-12.7MiB live, 2 269.6MiB allocated

Rules

5 178×	`lower-*.f32`
5 166×	`lower-*.f64`
5 156×	`lower-fma.f32`
5 154×	`lower-fma.f64`
4 716×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	146
0	42	143
1	131	143
2	795	143
0	8548	143

Stop Event

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

Counts

17 → 1 277

Calls

Call 1

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

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

eval249.0ms (2.7%)

Memory: 21.0MiB live, 810.9MiB allocated
Compiler: Compiled 49 309 to 3 814 computations (92.3% saved)

prune280.0ms (3%)

Memory

-12.7MiB live, 956.2MiB allocated

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	1 888	25	1 913
Fresh	2	3	5
Picked	3	2	5
Done	0	0	0
Total	1 893	30	1 923

Accuracy

100.0%

Counts

1 923 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.7%	(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶	99.8%	(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
	98.9%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	98.8%	(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
	98.5%	(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
	55.4%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
	55.4%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
	54.2%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
	54.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
	53.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
	99.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 e (.f64 (cos.f64 v) (neg.f64 e)) e) (sin.f64 v)))
	53.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
	54.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
	54.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (fma.f64 e (-.f64 (.f64 e e) e) e))))
	54.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
	2.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
	98.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))))
▶	98.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64)))))))
✓	98.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
	54.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (-.f64 v (*.f64 e v)))))
	99.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (*.f64 e (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e))))))
	53.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v))))
▶	53.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))))
	53.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
	2.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
▶	53.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
	69.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (* (sin v) (- 1 (* e (cos v))))) (.f64 (.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))))
	53.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 v (.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64)))) e))))
▶	53.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))

Compiler

Compiled 877 to 468 computations (46.6% saved)

simplify331.0ms (3.6%)

Memory

-20.0MiB live, 221.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

4 360×	`lower-fma.f32`
4 352×	`lower-fma.f64`
2 472×	`lower-*.f32`
2 452×	`lower-*.f64`
2 098×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	306
0	62	302
1	111	302
2	200	295
3	421	295
4	780	295
5	1049	295
6	1195	295
7	1627	295
8	1945	295
9	2375	295
10	2935	295
11	3518	295
12	3899	295
13	5447	295
14	6391	295
15	6442	295
16	6476	295
17	6725	295
18	6877	295
19	6981	295
20	6985	295
21	6985	295
22	7173	295
23	7257	295
24	7257	295
25	7257	295
26	7265	295
0	7265	288

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize127.0ms (1.4%)

Memory

15.2MiB live, 333.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))))
accuracy	0.1484375	(*.f64 e #s(approx (cos v) #s(literal 1 binary64)))
accuracy	0.22569083693694408	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64)))))))
accuracy	27.467815582955033	#s(approx (cos v) #s(literal 1 binary64))
accuracy	0.1171875	(.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v)))
accuracy	0.16796875	(.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v)
accuracy	0.78228312927894	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))))
accuracy	29.519255512633134	#s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))
accuracy	0.1953125	(.f64 (.f64 v v) #s(literal -1/6 binary64))
accuracy	0.78228312927894	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
accuracy	7.842715352351178	(fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)
accuracy	29.569067989377768	#s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)))
accuracy	0	(*.f64 e v)
accuracy	0.7962313242189296	#s(approx (* v (/ e (+ 1 e))) (*.f64 e v))
accuracy	29.283659301610562	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
accuracy	0.00390625	(cos.f64 v)
accuracy	0.0078125	(sin.f64 v)
accuracy	0.01171875	(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
accuracy	0.1171875	(*.f64 (sin.f64 v) e)

Samples

70.0ms

256×

valid

Compiler

Compiled 202 to 33 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 20.0ms (38.9% of total)

ival-add: 7.0ms (13.6% of total)

const: 7.0ms (13.6% of total)

ival-sin: 6.0ms (11.7% of total)

ival-cos: 6.0ms (11.7% of total)

ival-div: 4.0ms (7.8% of total)

ival-sub: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.4%)

Memory

4.0MiB live, 122.0MiB allocated

Counts

23 → 468

Calls

Call 1

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

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

Calls

6 calls:

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

simplify706.0ms (7.6%)

Memory

-35.6MiB live, 735.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 492×	`lower-fma.f64`
13 492×	`lower-fma.f32`
5 358×	`lower-*.f64`
5 358×	`lower-*.f32`
5 020×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	349	5932
1	1107	5761
2	3471	5691
0	8152	5391

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 461

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))))
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(/ (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 (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e (+ 1 (* -1/6 (pow v 2))))
(/ (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))
(/ (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)))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (* (cos v) (sin v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(/ (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))
(* -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)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(* e v)
(* e v)
(* e v)
(* e v)
(/ (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))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(/ (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))
(/ (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)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (* (cos v) (sin v))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))

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

rewrite351.0ms (3.8%)

Memory

-27.2MiB live, 936.6MiB allocated

Rules

6 906×	`lower-fma.f32`
6 898×	`lower-fma.f64`
4 846×	`lower-*.f32`
4 826×	`lower-*.f64`
4 028×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	269
0	62	265
1	212	261
2	1321	261
0	8447	257

Stop Event

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

Counts

23 → 485

Calls

Call 1

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

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

eval121.0ms (1.3%)

Memory: 39.3MiB live, 389.9MiB allocated
Compiler: Compiled 23 237 to 1 668 computations (92.8% saved)

prune204.0ms (2.2%)

Memory

-8.8MiB live, 675.9MiB allocated

Pruning

39 alts after pruning (33 fresh and 6 done)

	Pruned	Kept	Total
New	946	14	960
Fresh	4	19	23
Picked	1	4	5
Done	0	2	2
Total	951	39	990

Accuracy

100.0%

Counts

990 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.7%	(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	99.8%	(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
	98.9%	(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
	98.8%	(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
	98.5%	(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
	55.4%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
	55.4%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
	54.2%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
	54.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
	53.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
▶	99.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 e (.f64 (cos.f64 v) (neg.f64 e)) e) (sin.f64 v)))
▶	98.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) (sin.f64 v)))
	54.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
	54.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (fma.f64 e (-.f64 (.f64 e e) e) e))))
	54.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
	2.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
	98.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))))
✓	98.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64)))))))
✓	98.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
▶	54.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (-.f64 v (*.f64 e v)))))
	99.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (*.f64 e (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e))))))
	53.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
✓	53.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))))
	53.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
	2.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
✓	53.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
	69.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (* (sin v) (- 1 (* e (cos v))))) (.f64 (.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))))
	53.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v e) (.f64 v e))))
	43.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 (.f64 (fma.f64 (.f64 e e) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 v v) (.f64 v v))) (.f64 e (neg.f64 e))) v) (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) (neg.f64 e)))))
▶	53.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v (/.f64 #s(literal 1 binary64) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)))))
	11.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v e) (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v (neg.f64 e))) (.f64 (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)) (fma.f64 (.f64 v e) (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v (neg.f64 e))))))))
	53.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))))
▶	53.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e))))
	53.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
	47.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (.f64 (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e) (fma.f64 (.f64 e (.f64 v v)) #s(literal 1/6 binary64) e)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 e (*.f64 v v)) #s(literal 1/6 binary64) e))))))
	30.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( e (* (* v v) -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
	53.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (* v (+ (* e (* (* v v) -1/6)) e)) (.f64 (.f64 e v) (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
	30.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (* v (+ (* e (* (* v v) -1/6)) e)) (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 e (.f64 v v)))))))

Compiler

Compiled 1 199 to 614 computations (48.8% saved)

simplify310.0ms (3.4%)

Memory

-24.7MiB live, 257.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

3 432×	`lower-fma.f32`
3 426×	`lower-fma.f64`
2 320×	`lower-*.f32`
2 296×	`lower-*.f64`
2 090×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	354
0	70	348
1	129	348
2	238	348
3	463	342
4	1072	342
5	1562	342
6	2476	342
7	3395	342
8	4796	342
9	5873	342
10	6278	342
11	6487	342
12	7174	342
13	7519	342
14	7587	342
15	7613	342
16	7615	342
17	7615	342
18	7615	342
19	7615	342
20	7669	342
21	7785	332
22	7954	332
0	8062	326

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

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

localize117.0ms (1.3%)

Memory

13.6MiB live, 373.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(.f64 (.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) (sin.f64 v))
accuracy	0.1484375	(*.f64 e #s(approx (cos v) #s(literal 1 binary64)))
accuracy	0.22569083693694408	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) (sin.f64 v)))
accuracy	27.467815582955033	#s(approx (cos v) #s(literal 1 binary64))
accuracy	0.3652111594442092	(/.f64 #s(literal 1 binary64) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))
accuracy	0.78228312927894	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v (/.f64 #s(literal 1 binary64) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)))))
accuracy	7.842715352351178	(fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)
accuracy	29.569067989377768	#s(approx (* e (sin v)) (/.f64 v (/.f64 #s(literal 1 binary64) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))))
accuracy	0.11556625976844202	(fma.f64 (.f64 v e) (.f64 v #s(literal -1/6 binary64)) e)
accuracy	0.2734375	(*.f64 v #s(literal -1/6 binary64))
accuracy	0.78228312927894	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e))))
accuracy	29.569067989377768	#s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e)))
accuracy	0	(*.f64 e v)
accuracy	0.1328125	(.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (-.f64 v (*.f64 e v))))
accuracy	0.22569083693694408	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (-.f64 v (*.f64 e v)))))
accuracy	29.500217581714374	#s(approx (* (sin v) (- 1 (* e (cos v)))) (-.f64 v (*.f64 e v)))
accuracy	0.0078125	(sin.f64 v)
accuracy	0.12109375	(.f64 (fma.f64 e (.f64 (cos.f64 v) (neg.f64 e)) e) (sin.f64 v))
accuracy	0.1484375	(*.f64 (cos.f64 v) (neg.f64 e))
accuracy	0.22569083693694408	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 e (.f64 (cos.f64 v) (neg.f64 e)) e) (sin.f64 v)))

Samples

73.0ms

256×

valid

Compiler

Compiled 239 to 35 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 25.0ms (46.9% of total)

ival-sin: 6.0ms (11.2% of total)

ival-div: 5.0ms (9.4% of total)

ival-cos: 5.0ms (9.4% of total)

ival-add: 4.0ms (7.5% of total)

const: 4.0ms (7.5% of total)

ival-sub: 3.0ms (5.6% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series62.0ms (0.7%)

Memory

-8.5MiB live, 193.3MiB allocated

Counts

26 → 588

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	v	@	inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* e (* (cos v) (neg e))) e) (sin v)) (+ (* e (* (cos v) (neg e))) e) (* (cos v) (neg e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (* (sin v) (- 1 (* e (cos v))))) (* (sin v) (- 1 (* e (cos v)))) (- v (* e v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* v (+ (* (* v e) (* v -1/6)) e)) (+ (* (* v e) (* v -1/6)) e) (/ v (/ 1 (+ (* e (* (* v v) -1/6)) e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (/ 1 (+ (* e (* (* v v) -1/6)) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* e (- 1 (* e (cos v)))) (sin v)) (* e (- 1 (* e (cos v)))) (- 1 (* e (cos v))) (sin v) (* e v) (* v -1/6) (+ (* e (* (* v v) -1/6)) e) (cos v) (* e (cos v)))
8.0ms	e	@	0	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* e (* (cos v) (neg e))) e) (sin v)) (+ (* e (* (cos v) (neg e))) e) (* (cos v) (neg e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (* (sin v) (- 1 (* e (cos v))))) (* (sin v) (- 1 (* e (cos v)))) (- v (* e v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* v (+ (* (* v e) (* v -1/6)) e)) (+ (* (* v e) (* v -1/6)) e) (/ v (/ 1 (+ (* e (* (* v v) -1/6)) e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (/ 1 (+ (* e (* (* v v) -1/6)) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* e (- 1 (* e (cos v)))) (sin v)) (* e (- 1 (* e (cos v)))) (- 1 (* e (cos v))) (sin v) (* e v) (* v -1/6) (+ (* e (* (* v v) -1/6)) e) (cos v) (* e (cos v)))
5.0ms	v	@	-inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* e (* (cos v) (neg e))) e) (sin v)) (+ (* e (* (cos v) (neg e))) e) (* (cos v) (neg e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (* (sin v) (- 1 (* e (cos v))))) (* (sin v) (- 1 (* e (cos v)))) (- v (* e v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* v (+ (* (* v e) (* v -1/6)) e)) (+ (* (* v e) (* v -1/6)) e) (/ v (/ 1 (+ (* e (* (* v v) -1/6)) e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (/ 1 (+ (* e (* (* v v) -1/6)) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* e (- 1 (* e (cos v)))) (sin v)) (* e (- 1 (* e (cos v)))) (- 1 (* e (cos v))) (sin v) (* e v) (* v -1/6) (+ (* e (* (* v v) -1/6)) e) (cos v) (* e (cos v)))
4.0ms	e	@	inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* e (* (cos v) (neg e))) e) (sin v)) (+ (* e (* (cos v) (neg e))) e) (* (cos v) (neg e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (* (sin v) (- 1 (* e (cos v))))) (* (sin v) (- 1 (* e (cos v)))) (- v (* e v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* v (+ (* (* v e) (* v -1/6)) e)) (+ (* (* v e) (* v -1/6)) e) (/ v (/ 1 (+ (* e (* (* v v) -1/6)) e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (/ 1 (+ (* e (* (* v v) -1/6)) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* e (- 1 (* e (cos v)))) (sin v)) (* e (- 1 (* e (cos v)))) (- 1 (* e (cos v))) (sin v) (* e v) (* v -1/6) (+ (* e (* (* v v) -1/6)) e) (cos v) (* e (cos v)))
4.0ms	e	@	-inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* e (* (cos v) (neg e))) e) (sin v)) (+ (* e (* (cos v) (neg e))) e) (* (cos v) (neg e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (* (sin v) (- 1 (* e (cos v))))) (* (sin v) (- 1 (* e (cos v)))) (- v (* e v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* v (+ (* (* v e) (* v -1/6)) e)) (+ (* (* v e) (* v -1/6)) e) (/ v (/ 1 (+ (* e (* (* v v) -1/6)) e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (/ 1 (+ (* e (* (* v v) -1/6)) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* e (- 1 (* e (cos v)))) (sin v)) (* e (- 1 (* e (cos v)))) (- 1 (* e (cos v))) (sin v) (* e v) (* v -1/6) (+ (* e (* (* v v) -1/6)) e) (cos v) (* e (cos v)))

simplify299.0ms (3.2%)

Memory

8.9MiB live, 722.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 614×	`lower-fma.f64`
11 614×	`lower-fma.f32`
6 808×	`lower-*.f64`
6 808×	`lower-*.f32`
3 028×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	443	7661
1	1449	7334
2	4652	7224
0	8245	6868

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 581

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

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

rewrite408.0ms (4.4%)

Memory

-12.7MiB live, 1 192.5MiB allocated

Rules

6 484×	`lower-fma.f32`
6 478×	`lower-fma.f64`
4 626×	`lower-*.f32`
4 602×	`lower-*.f64`
3 806×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	323
0	70	317
1	222	317
2	1399	317
0	8412	312

Stop Event

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

Counts

26 → 693

Calls

Call 1

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

Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e) (sin.f64 v)))
(+.f64 (.f64 e (sin.f64 v)) (.f64 (sin.f64 v) (.f64 (.f64 e (cos.f64 v)) (neg.f64 e))))
(+.f64 (.f64 e (sin.f64 v)) (.f64 (.f64 (.f64 e (cos.f64 v)) (neg.f64 e)) (sin.f64 v)))
(+.f64 (.f64 (sin.f64 v) (.f64 (.f64 e (cos.f64 v)) (neg.f64 e))) (.f64 e (sin.f64 v)))
(+.f64 (.f64 (.f64 (.f64 e (cos.f64 v)) (neg.f64 e)) (sin.f64 v)) (.f64 e (sin.f64 v)))
(fma.f64 e (sin.f64 v) (.f64 (sin.f64 v) (.f64 (*.f64 e (cos.f64 v)) (neg.f64 e))))
(fma.f64 e (sin.f64 v) (.f64 (.f64 (*.f64 e (cos.f64 v)) (neg.f64 e)) (sin.f64 v)))
(fma.f64 e (neg.f64 (neg.f64 (sin.f64 v))) (.f64 (sin.f64 v) (.f64 (*.f64 e (cos.f64 v)) (neg.f64 e))))
(fma.f64 e (neg.f64 (neg.f64 (sin.f64 v))) (.f64 (.f64 (*.f64 e (cos.f64 v)) (neg.f64 e)) (sin.f64 v)))
(fma.f64 (.f64 e (sin.f64 v)) #s(literal 1 binary64) (.f64 (sin.f64 v) (.f64 (.f64 e (cos.f64 v)) (neg.f64 e))))
(fma.f64 (.f64 e (sin.f64 v)) #s(literal 1 binary64) (.f64 (.f64 (.f64 e (cos.f64 v)) (neg.f64 e)) (sin.f64 v)))
(fma.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v)) (.f64 (sin.f64 v) (.f64 (.f64 e (cos.f64 v)) (neg.f64 e))))
(fma.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v)) (.f64 (.f64 (.f64 e (cos.f64 v)) (neg.f64 e)) (sin.f64 v)))
(fma.f64 (neg.f64 e) (neg.f64 (sin.f64 v)) (.f64 (sin.f64 v) (.f64 (*.f64 e (cos.f64 v)) (neg.f64 e))))
(fma.f64 (neg.f64 e) (neg.f64 (sin.f64 v)) (.f64 (.f64 (*.f64 e (cos.f64 v)) (neg.f64 e)) (sin.f64 v)))
(fma.f64 (sin.f64 v) e (.f64 (sin.f64 v) (.f64 (*.f64 e (cos.f64 v)) (neg.f64 e))))
(fma.f64 (sin.f64 v) e (.f64 (.f64 (*.f64 e (cos.f64 v)) (neg.f64 e)) (sin.f64 v)))
(fma.f64 (sin.f64 v) (.f64 (.f64 e (cos.f64 v)) (neg.f64 e)) (*.f64 e (sin.f64 v)))
(fma.f64 (sin.f64 v) (neg.f64 (neg.f64 e)) (.f64 (sin.f64 v) (.f64 (*.f64 e (cos.f64 v)) (neg.f64 e))))
(fma.f64 (sin.f64 v) (neg.f64 (neg.f64 e)) (.f64 (.f64 (*.f64 e (cos.f64 v)) (neg.f64 e)) (sin.f64 v)))
(fma.f64 (.f64 (.f64 e (cos.f64 v)) (neg.f64 e)) (sin.f64 v) (*.f64 e (sin.f64 v)))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 e) (sin.f64 v)) (.f64 (sin.f64 v) (.f64 (.f64 e (cos.f64 v)) (neg.f64 e))))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 e) (sin.f64 v)) (.f64 (.f64 (.f64 e (cos.f64 v)) (neg.f64 e)) (sin.f64 v)))
(fma.f64 (neg.f64 (sin.f64 v)) (neg.f64 e) (.f64 (sin.f64 v) (.f64 (*.f64 e (cos.f64 v)) (neg.f64 e))))
(fma.f64 (neg.f64 (sin.f64 v)) (neg.f64 e) (.f64 (.f64 (*.f64 e (cos.f64 v)) (neg.f64 e)) (sin.f64 v)))
(fma.f64 (neg.f64 (neg.f64 (sin.f64 v))) e (.f64 (sin.f64 v) (.f64 (*.f64 e (cos.f64 v)) (neg.f64 e))))
(fma.f64 (neg.f64 (neg.f64 (sin.f64 v))) e (.f64 (.f64 (*.f64 e (cos.f64 v)) (neg.f64 e)) (sin.f64 v)))
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(.f64 (fma.f64 e (.f64 e e) (.f64 (.f64 (.f64 e v) (.f64 e (.f64 e (.f64 v v)))) (.f64 (.f64 v (.f64 v v)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 e (+.f64 e (.f64 (.f64 e (.f64 v v)) #s(literal 1/6 binary64))) (.f64 (.f64 v v) (.f64 (.f64 e e) (.f64 (.f64 v v) #s(literal 1/36 binary64)))))))
(.f64 (fma.f64 e (.f64 e e) (.f64 (.f64 (.f64 e v) (.f64 e (.f64 e (.f64 v v)))) (.f64 (.f64 v (.f64 v v)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 e e (fma.f64 (.f64 v v) (.f64 (.f64 e e) (.f64 (.f64 v v) #s(literal 1/36 binary64))) (.f64 e (.f64 (.f64 e (.f64 v v)) #s(literal 1/6 binary64)))))))
(.f64 (fma.f64 (.f64 v v) (.f64 (.f64 e e) (.f64 (.f64 v v) #s(literal 1/36 binary64))) (neg.f64 (.f64 e e))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 e (.f64 v v))) e)))
(.f64 (neg.f64 (fma.f64 e (.f64 e e) (.f64 (.f64 (.f64 e v) (.f64 e (.f64 e (.f64 v v)))) (.f64 (.f64 v (.f64 v v)) #s(literal -1/216 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 e (+.f64 e (.f64 (.f64 e (.f64 v v)) #s(literal 1/6 binary64))) (.f64 (.f64 v v) (.f64 (.f64 e e) (.f64 (.f64 v v) #s(literal 1/36 binary64))))))))
(.f64 (neg.f64 (fma.f64 (.f64 v v) (.f64 (.f64 e e) (.f64 (.f64 v v) #s(literal 1/36 binary64))) (neg.f64 (.f64 e e)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 e (.f64 v v))) e))))
(.f64 (-.f64 (.f64 e e) (.f64 (.f64 v v) (.f64 (.f64 e e) (.f64 (.f64 v v) #s(literal 1/36 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 e (.f64 (.f64 e (*.f64 v v)) #s(literal 1/6 binary64)))))
(.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e)
(.f64 (pow.f64 (fma.f64 e (.f64 e e) (.f64 (.f64 (.f64 e v) (.f64 e (.f64 e (.f64 v v)))) (.f64 (.f64 v (.f64 v v)) #s(literal -1/216 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (+.f64 e (.f64 (.f64 e (.f64 v v)) #s(literal 1/6 binary64))) (.f64 (.f64 v v) (.f64 (.f64 e e) (.f64 (.f64 v v) #s(literal 1/36 binary64)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 v v) (.f64 (.f64 e e) (.f64 (.f64 v v) #s(literal 1/36 binary64))) (neg.f64 (.f64 e e))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 e (.f64 v v))) e)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 e (.f64 v v)) e) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 e (*.f64 v v)) e) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (.f64 e e) (.f64 (.f64 (.f64 e v) (.f64 e (.f64 e (.f64 v v)))) (.f64 (.f64 v (.f64 v v)) #s(literal -1/216 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (+.f64 e (.f64 (.f64 e (.f64 v v)) #s(literal 1/6 binary64))) (.f64 (.f64 v v) (.f64 (.f64 e e) (.f64 (.f64 v v) #s(literal 1/36 binary64)))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 v v) (.f64 (.f64 e e) (.f64 (.f64 v v) #s(literal 1/36 binary64))) (neg.f64 (.f64 e e)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 e (.f64 v v))) e)))
(.f64 (/.f64 (fma.f64 e (+.f64 e (.f64 (.f64 e (.f64 v v)) #s(literal 1/6 binary64))) (.f64 (.f64 v v) (.f64 (.f64 e e) (.f64 (.f64 v v) #s(literal 1/36 binary64))))) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 e (.f64 v v)) e) (fma.f64 e (+.f64 e (.f64 (.f64 e (.f64 v v)) #s(literal 1/6 binary64))) (.f64 (.f64 v v) (.f64 (.f64 e e) (.f64 (*.f64 v v) #s(literal 1/36 binary64)))))))
(.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 e (.f64 v v)) e) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 e (*.f64 v v)) e) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 e (.f64 v v)) e)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 e (*.f64 v v)) e)) #s(literal -1/2 binary64)))
#s(approx (cos v) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (cos v) #s(literal 1 binary64)))
(*.f64 e #s(approx (cos v) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 e #s(approx (cos v) #s(literal 1 binary64))))
(*.f64 #s(approx (cos v) #s(literal 1 binary64)) e)
(.f64 (.f64 e #s(approx (cos v) #s(literal 1 binary64))) #s(literal 1 binary64))

eval165.0ms (1.8%)

Memory: 39.0MiB live, 511.8MiB allocated
Compiler: Compiled 33 079 to 2 038 computations (93.8% saved)

prune223.0ms (2.4%)

Memory

-10.6MiB live, 717.1MiB allocated

Pruning

34 alts after pruning (26 fresh and 8 done)

	Pruned	Kept	Total
New	1 276	12	1 288
Fresh	14	14	28
Picked	3	2	5
Done	0	6	6
Total	1 293	34	1 327

Accuracy

100.0%

Counts

1 327 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.7%	(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	99.8%	(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
	98.9%	(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
	98.8%	(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
	98.5%	(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
	55.4%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
	54.2%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
	53.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
✓	99.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 e (.f64 (cos.f64 v) (neg.f64 e)) e) (sin.f64 v)))
	98.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 e #s(approx ( (cos v) (neg e)) (neg.f64 e)) e) (sin.f64 v)))
	65.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (.f64 e e) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))) (neg.f64 (.f64 e e))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 e (*.f64 e (cos.f64 v)) e)))))
	54.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (fma.f64 e (-.f64 (.f64 e e) e) e))))
	54.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
	98.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))))
✓	98.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64)))))))
✓	98.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
	54.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (/.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v)))))
	54.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v)))))))
✓	54.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (-.f64 v (*.f64 e v)))))
	48.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
	99.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (*.f64 e (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e))))))
	31.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) #s(approx (- v (* e v)) (neg.f64 (*.f64 e v))))))
	53.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
✓	53.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))))
	69.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* e (* (cos v) (neg e))) e) (sin v)) (.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))))
✓	53.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
	30.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v (/.f64 #s(literal 1 binary64) #s(approx (+ (* e (* (* v v) -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64))))))))
	53.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v #s(approx (/ 1 (+ (* e (* (* v v) -1/6)) e)) (/.f64 #s(literal 1 binary64) e)))))
	55.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v #s(approx (/ 1 (+ (* e (* (* v v) -1/6)) e)) (.f64 (fma.f64 v (.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))))
	53.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64))) e))))
	53.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
	30.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( (* v e) (* v -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
	30.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (* v (+ (* e (* (* v v) -1/6)) e)) (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 e (.f64 v v)))))))

Compiler

Compiled 1 414 to 489 computations (65.4% saved)

regimes59.0ms (0.6%)

Memory

-18.1MiB live, 179.4MiB allocated

Counts

62 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) #s(approx (- v (* e v)) (neg.f64 (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (fma.f64 e (-.f64 (.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (* v (+ (* e (* (* v v) -1/6)) e)) (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 e (.f64 v v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( e (* (* v v) -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( (* v e) (* v -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v #s(approx (/ 1 (+ (* e (* (* v v) -1/6)) e)) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (* v (+ (* e (* (* v v) -1/6)) e)) (.f64 (.f64 e v) (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v e) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (/.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v (/.f64 #s(literal 1 binary64) #s(approx (+ (* e (* (* v v) -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v #s(approx (/ 1 (+ (* e (* (* v v) -1/6)) e)) (.f64 (fma.f64 v (.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v (/.f64 #s(literal 1 binary64) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 v (.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64))) e))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 (.f64 (fma.f64 (.f64 e e) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 v v) (.f64 v v))) (.f64 e (neg.f64 e))) v) (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) (neg.f64 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (.f64 (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e) (fma.f64 (.f64 e (.f64 v v)) #s(literal 1/6 binary64) e)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 e (*.f64 v v)) #s(literal 1/6 binary64) e))))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v e) (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v (neg.f64 e))) (.f64 (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)) (fma.f64 (.f64 v e) (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v (neg.f64 e))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 e #s(approx ( (cos v) (neg e)) (neg.f64 e)) e) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) (sin.f64 v)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 e (.f64 (cos.f64 v) (neg.f64 e)) e) (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (*.f64 e e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (* (sin v) (- 1 (* e (cos v))))) (.f64 (.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* e (* (cos v) (neg e))) e) (sin v)) (.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (*.f64 e (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (.f64 e e) (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v))))) (neg.f64 (.f64 e e))) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 e (*.f64 e (cos.f64 v)) e)))))
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes49.0ms (0.5%)

Memory

-10.6MiB live, 149.5MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) #s(approx (- v (* e v)) (neg.f64 (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (fma.f64 e (-.f64 (.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (* v (+ (* e (* (* v v) -1/6)) e)) (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 e (.f64 v v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( e (* (* v v) -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( (* v e) (* v -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v #s(approx (/ 1 (+ (* e (* (* v v) -1/6)) e)) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (* v (+ (* e (* (* v v) -1/6)) e)) (.f64 (.f64 e v) (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v e) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (/.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v (/.f64 #s(literal 1 binary64) #s(approx (+ (* e (* (* v v) -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v #s(approx (/ 1 (+ (* e (* (* v v) -1/6)) e)) (.f64 (fma.f64 v (.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v (/.f64 #s(literal 1 binary64) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 v (.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64))) e))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 (.f64 (fma.f64 (.f64 e e) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 v v) (.f64 v v))) (.f64 e (neg.f64 e))) v) (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) (neg.f64 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (.f64 (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e) (fma.f64 (.f64 e (.f64 v v)) #s(literal 1/6 binary64) e)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 e (*.f64 v v)) #s(literal 1/6 binary64) e))))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v e) (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v (neg.f64 e))) (.f64 (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)) (fma.f64 (.f64 v e) (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v (neg.f64 e))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 e #s(approx ( (cos v) (neg e)) (neg.f64 e)) e) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) (sin.f64 v)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 e (.f64 (cos.f64 v) (neg.f64 e)) e) (sin.f64 v)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`e`
99.5%	1	`v`
99.5%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes48.0ms (0.5%)

Memory

24.9MiB live, 145.2MiB allocated

Counts

50 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) #s(approx (- v (* e v)) (neg.f64 (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (fma.f64 e (-.f64 (.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (* v (+ (* e (* (* v v) -1/6)) e)) (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 e (.f64 v v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( e (* (* v v) -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( (* v e) (* v -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v #s(approx (/ 1 (+ (* e (* (* v v) -1/6)) e)) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (* v (+ (* e (* (* v v) -1/6)) e)) (.f64 (.f64 e v) (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v e) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (/.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v (/.f64 #s(literal 1 binary64) #s(approx (+ (* e (* (* v v) -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v #s(approx (/ 1 (+ (* e (* (* v v) -1/6)) e)) (.f64 (fma.f64 v (.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v (/.f64 #s(literal 1 binary64) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 v (.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64))) e))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 (.f64 (fma.f64 (.f64 e e) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 v v) (.f64 v v))) (.f64 e (neg.f64 e))) v) (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) (neg.f64 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (.f64 (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e) (fma.f64 (.f64 e (.f64 v v)) #s(literal 1/6 binary64) e)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 e (*.f64 v v)) #s(literal 1/6 binary64) e))))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v e) (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v (neg.f64 e))) (.f64 (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)) (fma.f64 (.f64 v e) (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v (neg.f64 e))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 e #s(approx ( (cos v) (neg e)) (neg.f64 e)) e) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) (sin.f64 v)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`e`
99.5%	1	`v`
99.5%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes48.0ms (0.5%)

Memory

-13.7MiB live, 147.3MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) #s(approx (- v (* e v)) (neg.f64 (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (fma.f64 e (-.f64 (.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (* v (+ (* e (* (* v v) -1/6)) e)) (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 e (.f64 v v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( e (* (* v v) -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( (* v e) (* v -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v #s(approx (/ 1 (+ (* e (* (* v v) -1/6)) e)) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (* v (+ (* e (* (* v v) -1/6)) e)) (.f64 (.f64 e v) (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v e) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (/.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v (/.f64 #s(literal 1 binary64) #s(approx (+ (* e (* (* v v) -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v #s(approx (/ 1 (+ (* e (* (* v v) -1/6)) e)) (.f64 (fma.f64 v (.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v (/.f64 #s(literal 1 binary64) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 v (.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64))) e))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 (.f64 (fma.f64 (.f64 e e) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 v v) (.f64 v v))) (.f64 e (neg.f64 e))) v) (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) (neg.f64 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (.f64 (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e) (fma.f64 (.f64 e (.f64 v v)) #s(literal 1/6 binary64) e)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 e (*.f64 v v)) #s(literal 1/6 binary64) e))))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v e) (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v (neg.f64 e))) (.f64 (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)) (fma.f64 (.f64 v e) (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v (neg.f64 e))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 e #s(approx ( (cos v) (neg e)) (neg.f64 e)) e) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) (sin.f64 v)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 v)))))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes43.0ms (0.5%)

Memory

13.2MiB live, 133.1MiB allocated

Counts

44 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) #s(approx (- v (* e v)) (neg.f64 (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (fma.f64 e (-.f64 (.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (* v (+ (* e (* (* v v) -1/6)) e)) (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 e (.f64 v v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( e (* (* v v) -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( (* v e) (* v -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v #s(approx (/ 1 (+ (* e (* (* v v) -1/6)) e)) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (* v (+ (* e (* (* v v) -1/6)) e)) (.f64 (.f64 e v) (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v e) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (/.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v (/.f64 #s(literal 1 binary64) #s(approx (+ (* e (* (* v v) -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v #s(approx (/ 1 (+ (* e (* (* v v) -1/6)) e)) (.f64 (fma.f64 v (.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v (/.f64 #s(literal 1 binary64) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 v (.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64))) e))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 (.f64 (fma.f64 (.f64 e e) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 v v) (.f64 v v))) (.f64 e (neg.f64 e))) v) (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) (neg.f64 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (.f64 (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e) (fma.f64 (.f64 e (.f64 v v)) #s(literal 1/6 binary64) e)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 e (*.f64 v v)) #s(literal 1/6 binary64) e))))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v e) (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v (neg.f64 e))) (.f64 (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)) (fma.f64 (.f64 v e) (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v (neg.f64 e))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 e #s(approx ( (cos v) (neg e)) (neg.f64 e)) e) (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) (sin.f64 v)))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes41.0ms (0.4%)

Memory

9.8MiB live, 130.1MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) #s(approx (- v (* e v)) (neg.f64 (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (fma.f64 e (-.f64 (.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (* v (+ (* e (* (* v v) -1/6)) e)) (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 e (.f64 v v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( e (* (* v v) -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( (* v e) (* v -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v #s(approx (/ 1 (+ (* e (* (* v v) -1/6)) e)) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (* v (+ (* e (* (* v v) -1/6)) e)) (.f64 (.f64 e v) (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v e) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (/.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v (/.f64 #s(literal 1 binary64) #s(approx (+ (* e (* (* v v) -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v #s(approx (/ 1 (+ (* e (* (* v v) -1/6)) e)) (.f64 (fma.f64 v (.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v (/.f64 #s(literal 1 binary64) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 v (.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64))) e))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 (.f64 (fma.f64 (.f64 e e) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 v v) (.f64 v v))) (.f64 e (neg.f64 e))) v) (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) (neg.f64 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (.f64 (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e) (fma.f64 (.f64 e (.f64 v v)) #s(literal 1/6 binary64) e)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 e (*.f64 v v)) #s(literal 1/6 binary64) e))))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v e) (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v (neg.f64 e))) (.f64 (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)) (fma.f64 (.f64 v e) (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v (neg.f64 e))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.6%	1	`e`
98.6%	1	`v`
98.6%	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 (0.4%)

Memory

-34.8MiB live, 125.4MiB allocated

Counts

40 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) #s(approx (- v (* e v)) (neg.f64 (*.f64 e v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (-.f64 v (*.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (fma.f64 e (-.f64 (.f64 e e) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (* v (+ (* e (* (* v v) -1/6)) e)) (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 e (.f64 v v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( e (* (* v v) -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( (* v e) (* v -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v e) (*.f64 v #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v #s(approx (/ 1 (+ (* e (* (* v v) -1/6)) e)) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) #s(approx (* v (+ (* e (* (* v v) -1/6)) e)) (.f64 (.f64 e v) (neg.f64 (fma.f64 v (*.f64 v #s(literal 1/6 binary64)) #s(literal -1 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (fma.f64 (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v e) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (/.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 v (*.f64 e v)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v (/.f64 #s(literal 1 binary64) #s(approx (+ (* e (* (* v v) -1/6)) e) (.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v #s(approx (/ 1 (+ (* e (* (* v v) -1/6)) e)) (.f64 (fma.f64 v (.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 v (/.f64 #s(literal 1 binary64) (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 v (.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64)))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64))) e))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 (.f64 (fma.f64 (.f64 e e) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 v v) (.f64 v v))) (.f64 e (neg.f64 e))) v) (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) (neg.f64 e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (.f64 (.f64 (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e) (fma.f64 (.f64 e (.f64 v v)) #s(literal 1/6 binary64) e)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 e (*.f64 v v)) #s(literal 1/6 binary64) e))))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (*.f64 e #s(literal 1/24 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) (fma.f64 e #s(literal 1/120 binary64) #s(literal 1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v e) (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v (neg.f64 e))) (.f64 (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)) (fma.f64 (.f64 v e) (.f64 (.f64 v v) #s(literal -1/6 binary64)) (.f64 v (neg.f64 e))))))))

Outputs

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

Calls

3 calls:

12.0ms	v
12.0ms	e
11.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes38.0ms (0.4%)

Memory

2.0MiB live, 120.6MiB allocated

Counts

38 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

12.0ms	v
12.0ms	e
11.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes34.0ms (0.4%)

Memory

27.0MiB live, 108.7MiB allocated

Counts

34 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
55.0%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
55.0%	1	`e`
55.0%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes27.0ms (0.3%)

Memory

4.7MiB live, 83.7MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes10.0ms (0.1%)

Memory

-9.2MiB live, 32.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes7.0ms (0.1%)

Memory

-15.9MiB live, 23.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.1%)

Memory

20.8MiB live, 20.8MiB allocated

Accuracy

Total -15.1b remaining (-51.1%)

Threshold costs -15.1b (-51.1%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

2.0ms	(/.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
53.9%	1	`e`
53.9%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
53.9%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify12.0ms (0.1%)

Memory

-1.7MiB live, 38.1MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`*-commutative_binary64`
26×	`+-commutative_binary64`
24×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	336
1	134	336
2	159	336
3	172	336
4	180	336
5	182	336

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.2s (13%)

Memory

-31.9MiB live, 1 329.4MiB allocated

Rules

15 582×	`lower-fma.f64`
15 582×	`lower-fma.f32`
11 780×	`lower-fma.f64`
11 780×	`lower-fma.f32`
11 614×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	269
0	62	265
1	212	261
2	1321	261
0	8447	257
0	443	7661
1	1449	7334
2	4652	7224
0	8245	6868
0	27	146
0	42	143
1	131	143
2	795	143
0	8548	143
0	442	5741
1	1405	5585
2	4355	5420
0	8761	5110
0	182	1153
1	554	1138
2	1582	1106
3	5266	1024
0	8387	956
0	9	27
0	15	27
1	42	27
2	241	27
3	2097	27
0	8370	25

Stop Event

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

Compiler

Compiled 432 to 209 computations (51.6% saved)

preprocess124.0ms (1.3%)

Memory: 30.8MiB live, 388.7MiB allocated
Remove: (negabs v)
Compiler: Compiled 556 to 256 computations (54% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze7.0ms (0.1%)

sample1.2s (13.1%)

explain117.0ms (1.3%)

preprocess73.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize39.0ms (0.4%)

series14.0ms (0.2%)

simplify293.0ms (3.2%)

rewrite328.0ms (3.5%)

eval62.0ms (0.7%)

prune66.0ms (0.7%)

simplify121.0ms (1.3%)

localize88.0ms (1%)

series35.0ms (0.4%)

simplify309.0ms (3.3%)

rewrite707.0ms (7.6%)

eval249.0ms (2.7%)

prune280.0ms (3%)

simplify331.0ms (3.6%)

localize127.0ms (1.4%)

series38.0ms (0.4%)

simplify706.0ms (7.6%)

rewrite351.0ms (3.8%)

eval121.0ms (1.3%)

prune204.0ms (2.2%)

simplify310.0ms (3.4%)

localize117.0ms (1.3%)

series62.0ms (0.7%)

simplify299.0ms (3.2%)

rewrite408.0ms (4.4%)

eval165.0ms (1.8%)

prune223.0ms (2.4%)

regimes59.0ms (0.6%)

regimes49.0ms (0.5%)

regimes48.0ms (0.5%)

regimes48.0ms (0.5%)

regimes43.0ms (0.5%)

regimes41.0ms (0.4%)

regimes40.0ms (0.4%)

regimes38.0ms (0.4%)

regimes34.0ms (0.4%)

regimes27.0ms (0.3%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

simplify12.0ms (0.1%)

soundness1.2s (13%)

preprocess124.0ms (1.3%)

end0.0ms (0%)

Profiling