Metrics for Trigonometry A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze7.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB 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 (13.5%)

Memory

47.4MiB live, 2 491.8MiB allocated

Samples

903.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 694.0ms

ival-sin: 194.0ms (28% of total)

ival-cos: 168.0ms (24.2% of total)

ival-mult: 159.0ms (22.9% of total)

ival-div: 56.0ms (8.1% of total)

ival-<=: 48.0ms (6.9% of total)

ival-add: 44.0ms (6.3% of total)

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

exact: 11.0ms (1.6% of total)

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

Bogosity

explain163.0ms (1.8%)

Memory

9.7MiB live, 246.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

53.0ms

512×

valid

Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions

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

ival-cos: 12.0ms (32.6% of total)

ival-sin: 12.0ms (32.6% of total)

ival-mult: 7.0ms (19% of total)

ival-div: 3.0ms (8.1% of total)

ival-add: 2.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess82.0ms (0.9%)

Memory

-17.0MiB live, 57.6MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0%)

Memory

4.4MiB live, 4.4MiB 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

16.4MiB live, 53.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 v)
accuracy	0.015625	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
accuracy	0.08984375	(*.f64 e (cos.f64 v))
accuracy	0.12890625	(*.f64 e (sin.f64 v))

Samples

30.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sin: 6.0ms (37.2% of total)

ival-cos: 5.0ms (31% of total)

ival-mult: 3.0ms (18.6% of total)

ival-div: 1.0ms (6.2% of total)

ival-add: 1.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

series22.0ms (0.2%)

Memory

-10.9MiB live, 26.6MiB allocated

Counts

6 → 120

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
10.0ms	v	@	inf	(+ 1 (* e (cos v)))
2.0ms	v	@	0	(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms	v	@	-inf	(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms	v	@	inf	(/ (* e (sin v)) (+ 1 (* e (cos v))))
1.0ms	e	@	0	(* e (sin v))

simplify628.0ms (7%)

Memory

-173.4MiB live, 432.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 118

Calls

Call 1

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

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

rewrite304.0ms (3.4%)

Memory

20.2MiB live, 487.6MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 347

Calls

Call 1

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

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

eval58.0ms (0.6%)

Memory: 7.7MiB live, 124.3MiB allocated
Compiler: Compiled 13 630 to 1 268 computations (90.7% saved)

prune69.0ms (0.8%)

Memory

-12.9MiB live, 143.1MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

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

Accuracy

99.9%

Counts

466 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.0%	(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	47.9%	(pow.f64 (.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (.f64 e (sin.f64 v))) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))) #s(literal -1/2 binary64))
	99.8%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))) (.f64 (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))) (*.f64 e (sin.f64 v)))) (pow.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) #s(literal 2 binary64)))
	99.0%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	99.5%	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
▶	99.7%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
▶	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
▶	51.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
▶	99.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
	50.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
▶	97.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))

Compiler

Compiled 362 to 208 computations (42.5% saved)

simplify236.0ms (2.6%)

Memory

16.2MiB live, 165.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

4 592×	`lower-fma.f32`
4 588×	`lower-fma.f64`
3 340×	`lower-*.f32`
3 328×	`lower-*.f64`
1 862×	`div-sub`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	29	186
0	47	175
1	79	175
2	126	175
3	326	175
4	734	175
5	1068	170
6	1380	170
7	1991	170
8	3128	170
9	4539	170
10	5999	170
11	6440	170
12	6716	170
13	6939	170
14	7056	170
15	7265	170
16	7639	170
0	8003	170

Stop Event

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

Calls

Call 1

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

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

localize108.0ms (1.2%)

Memory

22.1MiB live, 177.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 v)
accuracy	0.01953125	(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
accuracy	0.12109375	(*.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))))
accuracy	0.1796875	(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))
accuracy	0	(neg.f64 e)
accuracy	0	(cos.f64 v)
accuracy	0.13671875	(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
accuracy	0.4836916938042865	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
accuracy	0	(sin.f64 v)
accuracy	0.12890625	(*.f64 e (sin.f64 v))
accuracy	1.2102159116435454	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
accuracy	0	(+.f64 #s(literal 1 binary64) e)
accuracy	0	(*.f64 e v)
accuracy	0.021816259768442016	(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
accuracy	31.344002821424063	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
accuracy	0	(sin.f64 v)
accuracy	0	(cos.f64 v)
accuracy	0.01953125	(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
accuracy	0.12109375	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)

Samples

76.0ms

256×

valid

Compiler

Compiled 171 to 26 computations (84.8% saved)

Precisions

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

ival-add: 14.0ms (27.4% of total)

ival-mult: 11.0ms (21.6% of total)

ival-div: 9.0ms (17.6% of total)

ival-sin: 6.0ms (11.8% of total)

ival-cos: 5.0ms (9.8% of total)

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

ival-neg: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory

3.5MiB live, 76.3MiB allocated

Counts

18 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
5.0ms	e	@	-inf	(/ (sin v) (+ (* e (cos v)) 1))
3.0ms	v	@	-inf	(* (sin v) (+ (* (cos v) (* e (neg e))) e))
1.0ms	v	@	0	(* (/ (sin v) (+ (* e (cos v)) 1)) e)
1.0ms	v	@	0	(/ (sin v) (+ (* e (cos v)) 1))
1.0ms	v	@	inf	(* (sin v) (+ (* (cos v) (* e (neg e))) e))

simplify328.0ms (3.6%)

Memory

0.4MiB live, 564.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 674×	`lower-fma.f64`
12 674×	`lower-fma.f32`
7 252×	`lower-*.f64`
7 252×	`lower-*.f32`
4 382×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	371	5308
1	1197	5102
2	3659	5071
0	8603	4827

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 342

Calls

Call 1

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

rewrite273.0ms (3%)

Memory

8.1MiB live, 454.7MiB allocated

Rules

7 496×	`lower-fma.f32`
7 492×	`lower-fma.f64`
5 518×	`lower-*.f32`
5 506×	`lower-*.f64`
4 040×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	145
0	47	138
1	157	134
2	922	134
0	8387	134

Stop Event

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

Counts

18 → 1 029

Calls

Call 1

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

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

eval294.0ms (3.3%)

Memory: 20.0MiB live, 516.8MiB allocated
Compiler: Compiled 39 920 to 2 752 computations (93.1% saved)

prune276.0ms (3.1%)

Memory

2.9MiB live, 685.0MiB allocated

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	1 655	26	1 681
Fresh	4	2	6
Picked	2	3	5
Done	0	0	0
Total	1 661	31	1 692

Accuracy

100.0%

Counts

1 692 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
▶	99.5%	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
	99.4%	(*.f64 (pow.f64 (pow.f64 (sqrt.f64 e) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
	97.8%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (sin.f64 v)))
	40.9%	(.f64 (/.f64 (.f64 e (*.f64 e e)) (fma.f64 e e #s(literal 0 binary64))) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
	77.0%	(.f64 (.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64))) e)
	50.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 (.f64 v (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 #s(literal 1 binary64) e)))
	50.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v #s(literal 1 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
✓	51.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
	97.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
	50.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
	96.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v))))
▶	49.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
	49.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal -1 binary64) e))))
	51.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 v (fma.f64 e (.f64 e e) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))))
	97.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64)))))
	68.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (.f64 e (neg.f64 e)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64)) (.f64 e (neg.f64 e))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (.f64 e (cos.f64 v)) e)) (sin.f64 v))))
▶	97.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)))
	98.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
	99.0%	#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))))))
✓	97.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
	49.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
	49.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v))))
	49.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
	50.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v)))))
▶	49.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
▶	49.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (.f64 v v) (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)))) e)))))
	49.7%	#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) (fma.f64 e #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 e (.f64 v v)))) (*.f64 e #s(literal -1/6 binary64))) e))))
	49.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))

Compiler

Compiled 911 to 512 computations (43.8% saved)

simplify375.0ms (4.2%)

Memory

40.5MiB live, 726.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 v)
cost-diff	0	(*.f64 (sin.f64 v) (sqrt.f64 e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)))
cost-diff	1600	(.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (.f64 v v) (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)))) e)))))
cost-diff	128	(.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e)))
cost-diff	320	(fma.f64 e (neg.f64 e) (fma.f64 (.f64 v v) (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e)))) e))
cost-diff	704	(fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e))))
cost-diff	0	(+.f64 e #s(literal 1 binary64))
cost-diff	0	(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
cost-diff	0	(*.f64 e v)
cost-diff	0	#s(approx (/ (* e v) (+ 1 e)) (*.f64 e v))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
cost-diff	0	(cos.f64 v)
cost-diff	0	(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
cost-diff	384	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))

Rules

28 410×	`lower-fma.f32`
28 402×	`lower-fma.f64`
5 074×	`lower-*.f32`
5 056×	`lower-*.f64`
4 186×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	338
0	75	332
1	141	324
2	286	320
3	803	302
4	3030	286
5	7372	286
0	8119	275

Stop Event

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

Calls

Call 1

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

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

localize238.0ms (2.6%)

Memory

-1.8MiB live, 367.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 v)
accuracy	0.27734375	(*.f64 (sin.f64 v) (sqrt.f64 e))
accuracy	0.28515625	(.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e))
accuracy	1.2102159116435454	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)))
accuracy	0.30859375	(.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e)))
accuracy	0.4836916938042865	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (.f64 v v) (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)))) e)))))
accuracy	6.608022535093486	(fma.f64 (.f64 v v) (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e)))) e)
accuracy	31.635671215163725	#s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (.f64 v v) (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)))) e))))
accuracy	0	(*.f64 v e)
accuracy	0.20703125	(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))
accuracy	1.139133577943066	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e)))
accuracy	31.344002821424063	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
accuracy	0	(*.f64 e v)
accuracy	1.2541388444416732	#s(approx (/ (* e v) (+ 1 e)) (*.f64 e v))
accuracy	31.344002821424063	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
accuracy	0	(sin.f64 v)
accuracy	0	(cos.f64 v)
accuracy	0.14453125	(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
accuracy	0.26171875	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))

Samples

175.0ms

256×

valid

Compiler

Compiled 256 to 42 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-mult: 87.0ms (56.1% of total)

ival-add: 36.0ms (23.2% of total)

ival-cos: 10.0ms (6.5% of total)

ival-div: 9.0ms (5.8% of total)

ival-sin: 5.0ms (3.2% of total)

const: 4.0ms (2.6% of total)

ival-sqrt: 2.0ms (1.3% of total)

ival-sub: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory

11.1MiB live, 87.5MiB allocated

Counts

22 → 468

Calls

Call 1

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

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

Calls

117 calls:

Time	Variable		Point	Expression
4.0ms	e	@	-inf	(+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))
1.0ms	e	@	-inf	(* (* (sin v) (sqrt e)) (sqrt e))
1.0ms	v	@	inf	(+ (* e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e))
1.0ms	v	@	0	(+ (* e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e))
1.0ms	v	@	0	(/ (+ (* e (cos v)) 1) (sin v))

simplify301.0ms (3.3%)

Memory

7.6MiB live, 631.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 766×	`lower-fma.f64`
12 766×	`lower-fma.f32`
7 062×	`lower-*.f64`
7 062×	`lower-*.f32`
4 786×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	424	6481
1	1322	6300
2	3937	6273
0	8642	5895

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 460

Calls

Call 1

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

Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (fma.f64 e (.f64 e (neg.f64 (cos.f64 v))) e))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
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(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
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(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
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rewrite391.0ms (4.3%)

Memory

43.0MiB live, 734.6MiB allocated

Rules

6 820×	`lower-fma.f32`
6 812×	`lower-fma.f64`
4 456×	`lower-*.f32`
4 438×	`lower-*.f64`
3 964×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	281
0	75	273
1	285	265
2	2027	265
0	8185	263

Stop Event

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

Counts

22 → 690

Calls

Call 1

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

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

eval514.0ms (5.7%)

Memory: -19.7MiB live, 541.9MiB allocated
Compiler: Compiled 39 886 to 2 770 computations (93.1% saved)

prune216.0ms (2.4%)

Memory

-8.1MiB live, 680.1MiB allocated

Pruning

42 alts after pruning (37 fresh and 5 done)

	Pruned	Kept	Total
New	1 142	20	1 162
Fresh	6	17	23
Picked	3	2	5
Done	0	3	3
Total	1 151	42	1 193

Accuracy

100.0%

Counts

1 193 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(/.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)))
	97.7%	(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
	52.3%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
	52.2%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)))
	50.9%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
	97.8%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (sin.f64 v)))
	40.9%	(.f64 (/.f64 (.f64 e (*.f64 e e)) (fma.f64 e e #s(literal 0 binary64))) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
	77.0%	(.f64 (.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64))) e)
	50.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v #s(literal 1 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
✓	51.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
▶	97.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
	49.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)))
	49.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
	96.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v))))
	48.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ e 1) #s(literal 1 binary64)) (*.f64 v e))))
	49.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (sqrt.f64 e)) (/.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 e)))))
	49.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e))))
	97.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64)))))
	68.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (.f64 e (neg.f64 e)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64)) (.f64 e (neg.f64 e))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (.f64 e (cos.f64 v)) e)) (sin.f64 v))))
✓	97.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)))
	49.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v)) (sqrt.f64 e)) (sqrt.f64 e)))
	49.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (sin v) (fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v)) (sqrt.f64 e)) (sqrt.f64 e)))
	98.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
	49.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (sin v) (sqrt e)) (.f64 v (fma.f64 v (.f64 v (*.f64 #s(literal -1/6 binary64) (sqrt.f64 e))) (sqrt.f64 e)))) (sqrt.f64 e)))
▶	49.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (sin v) (sqrt e)) (*.f64 v (sqrt.f64 e))) (sqrt.f64 e)))
▶	99.0%	#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))))))
✓	97.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
	49.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
	49.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v))))
	49.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
	50.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v)))))
✓	49.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
	49.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (sin v) (sqrt e)) (sqrt e)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/120 binary64) (.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))))
▶	49.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 (.f64 v (fma.f64 #s(literal 1/2 binary64) (.f64 e e) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) v (-.f64 e (.f64 e e))))))
	49.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (.f64 v v) #s(approx (+ (* e (* e 1/2)) (* -1/6 (- e (* e e)))) (*.f64 e #s(literal -1/6 binary64))) e)))))
	27.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) #s(approx (+ ( (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e) (.f64 e (.f64 (.f64 e (.f64 v v)) #s(literal 2/3 binary64))))))))
▶	50.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (-.f64 e (*.f64 e e))))))
	27.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (.f64 (.f64 e e) (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64)))))))
	49.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))

Compiler

Compiled 1 297 to 683 computations (47.3% saved)

simplify221.0ms (2.5%)

Memory

-2.3MiB live, 511.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) e)
cost-diff	0	(sin.f64 v)
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
cost-diff	1088	(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
cost-diff	0	#s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 (.f64 v (fma.f64 #s(literal 1/2 binary64) (.f64 e e) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) v (-.f64 e (.f64 e e)))))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 (.f64 v (fma.f64 #s(literal 1/2 binary64) (.f64 e e) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) v (-.f64 e (.f64 e e))))))
cost-diff	128	(.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e)))
cost-diff	704	(fma.f64 #s(literal 1/2 binary64) (.f64 e e) (.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e))))
cost-diff	0	(*.f64 v (sqrt.f64 e))
cost-diff	0	#s(approx (* (sin v) (sqrt e)) (*.f64 v (sqrt.f64 e)))
cost-diff	0	(.f64 #s(approx ( (sin v) (sqrt e)) (*.f64 v (sqrt.f64 e))) (sqrt.f64 e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (sin v) (sqrt e)) (*.f64 v (sqrt.f64 e))) (sqrt.f64 e)))
cost-diff	0	#s(approx (+ (* e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (-.f64 e (*.f64 e e)))
cost-diff	0	(.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (-.f64 e (*.f64 e e))))
cost-diff	0	#s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (-.f64 e (*.f64 e e)))))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (-.f64 e (*.f64 e e))))))
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))))))

Rules

16 620×	`lower-fma.f32`
16 616×	`lower-fma.f64`
4 488×	`lower-*.f32`
4 468×	`lower-*.f64`
2 000×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	495
0	79	493
1	163	479
2	358	475
3	952	445
4	2706	425
5	6630	425
0	8234	409

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

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

localize142.0ms (1.6%)

Memory

45.1MiB live, 393.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) e)
accuracy	0	(sin.f64 v)
accuracy	0.24609375	(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
accuracy	1.2102159116435454	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
accuracy	0.15853500976844204	(.f64 v (fma.f64 #s(literal 1/2 binary64) (.f64 e e) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e)))))
accuracy	0.30859375	(.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e)))
accuracy	0.4836916938042865	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 (.f64 v (fma.f64 #s(literal 1/2 binary64) (.f64 e e) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) v (-.f64 e (.f64 e e))))))
accuracy	31.635671215163725	#s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 (.f64 v (fma.f64 #s(literal 1/2 binary64) (.f64 e e) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) v (-.f64 e (.f64 e e)))))
accuracy	0.20703125	(*.f64 v (sqrt.f64 e))
accuracy	0.28515625	(.f64 #s(approx ( (sin v) (sqrt e)) (*.f64 v (sqrt.f64 e))) (sqrt.f64 e))
accuracy	1.2102159116435454	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (sin v) (sqrt e)) (*.f64 v (sqrt.f64 e))) (sqrt.f64 e)))
accuracy	31.483322545892683	#s(approx (* (sin v) (sqrt e)) (*.f64 v (sqrt.f64 e)))
accuracy	0.06640625	(.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (-.f64 e (*.f64 e e))))
accuracy	0.4836916938042865	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (-.f64 e (*.f64 e e))))))
accuracy	31.635671215163725	#s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (-.f64 e (*.f64 e e)))))
accuracy	32.01776725961527	#s(approx (+ (* e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (-.f64 e (*.f64 e e)))
accuracy	0.015625	(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
accuracy	0.08984375	(*.f64 e (cos.f64 v))
accuracy	0.12109375	(.f64 e (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
accuracy	0.4836916938042865	#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))))))

Samples

94.0ms

256×

valid

Compiler

Compiled 308 to 44 computations (85.7% saved)

Precisions

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

ival-mult: 32.0ms (48.3% of total)

ival-add: 7.0ms (10.6% of total)

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

ival-cos: 5.0ms (7.5% of total)

ival-div: 4.0ms (6% of total)

const: 4.0ms (6% of total)

ival-sqrt: 3.0ms (4.5% of total)

ival-sub: 2.0ms (3% of total)

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

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

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

exact: 0.0ms (0% of total)

series54.0ms (0.6%)

Memory

-1.8MiB live, 116.7MiB allocated

Counts

21 → 456

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
14.0ms	e	@	0	(* e (* (sin v) (- 1 (* e (cos v)))))
6.0ms	v	@	0	(* v (+ (* e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)))
1.0ms	v	@	0	(* e (* (sin v) (- 1 (* e (cos v)))))
1.0ms	v	@	-inf	(* e (* (sin v) (- 1 (* e (cos v)))))
1.0ms	v	@	inf	(* e (* (sin v) (- 1 (* e (cos v)))))

simplify324.0ms (3.6%)

Memory

12.7MiB live, 683.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 954×	`lower-fma.f64`
11 954×	`lower-fma.f32`
6 302×	`lower-*.f64`
6 302×	`lower-*.f32`
3 028×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	411	7104
1	1384	6750
2	4680	6446
3	7988	6406
0	8007	6089

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 454

Calls

Call 1

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

Outputs
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(.f64 e (fma.f64 e (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(.f64 e (fma.f64 e (fma.f64 e (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (neg.f64 e))) (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) (sin.f64 v)))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 (.f64 e e) (.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e))) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ (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 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 e (/.f64 (.f64 e #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 (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 v (.f64 v (fma.f64 (.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 e (/.f64 (.f64 e #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 (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 (.f64 e (.f64 e #s(literal -1/24 binary64))) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (fma.f64 e (/.f64 (.f64 e #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 (+.f64 e #s(literal 1 binary64))))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (/.f64 (.f64 e #s(literal -1/5040 binary64)) (+.f64 e #s(literal 1 binary64))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 e (/.f64 (.f64 e #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 (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 (.f64 e (.f64 e #s(literal -1/24 binary64))) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (fma.f64 e (/.f64 (.f64 e #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 (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/24 binary64))) (/.f64 (.f64 (.f64 e e) #s(literal -1/720 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 e (/.f64 (.f64 e #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 (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 (.f64 e (.f64 e #s(literal -1/24 binary64))) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 (.f64 (.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(.f64 (sin.f64 v) (.f64 e (neg.f64 (*.f64 e (cos.f64 v)))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(.f64 (sin.f64 v) (.f64 e (neg.f64 (*.f64 e (cos.f64 v)))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* e (* v (- 1 e)))
(.f64 v (-.f64 e (.f64 e e)))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (- 1 e)) (* 1/2 e)))) (* e (- 1 e))))
(.f64 v (-.f64 (fma.f64 v (.f64 e (.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)))) e) (.f64 e 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)))))))
(.f64 v (.f64 e (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 #s(literal 1/120 binary64) (-.f64 #s(literal 1 binary64) e) (.f64 e #s(literal -1/8 binary64))) (fma.f64 e #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) e)))) (-.f64 #s(literal 1 binary64) 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)))))))))))
(.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 e #s(literal 1/2 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 #s(literal -1/5040 binary64) (-.f64 #s(literal 1 binary64) e) (.f64 e #s(literal 1/80 binary64))) (fma.f64 #s(literal 1/120 binary64) (-.f64 #s(literal 1 binary64) e) (.f64 e #s(literal -1/8 binary64)))) (.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) e))))) (-.f64 e (*.f64 e e))))
(* e (* (sin v) (- 1 (* e (cos v)))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* e (* (sin v) (- 1 (* e (cos v)))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* e (* (sin v) (- 1 (* e (cos v)))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* e (* (sin v) (- 1 (* e (cos v)))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* e (* (sin v) (- 1 (* e (cos v)))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* e (* (sin v) (- 1 (* e (cos v)))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* e (* (sin v) (- 1 (* e (cos v)))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* e (* (sin v) (- 1 (* e (cos v)))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* v (- 1 e))
(*.f64 v (-.f64 #s(literal 1 binary64) e))
(* v (- (+ 1 (* (pow v 2) (+ (* -1/6 (- 1 e)) (* 1/2 e)))) e))
(.f64 v (-.f64 (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64)) 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))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 #s(literal 1/120 binary64) (-.f64 #s(literal 1 binary64) e) (.f64 e #s(literal -1/8 binary64))) (fma.f64 e #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) e)))) (-.f64 #s(literal 1 binary64) 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))
(.f64 v (-.f64 (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/2 binary64) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 #s(literal -1/5040 binary64) (-.f64 #s(literal 1 binary64) e) (.f64 e #s(literal 1/80 binary64))) (fma.f64 #s(literal 1/120 binary64) (-.f64 #s(literal 1 binary64) e) (.f64 e #s(literal -1/8 binary64)))) (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) e)))) #s(literal 1 binary64)) e))
(* (sin v) (- 1 (* e (cos v))))
(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(* (sin v) (- 1 (* e (cos v))))
(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(* (sin v) (- 1 (* e (cos v))))
(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(* (sin v) (- 1 (* e (cos v))))
(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(* (sin v) (- 1 (* e (cos v))))
(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(* (sin v) (- 1 (* e (cos v))))
(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(* (sin v) (- 1 (* e (cos v))))
(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(* (sin v) (- 1 (* e (cos v))))
(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(sin v)
(sin.f64 v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
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(* -1 (* e (* (cos v) (sin v))))
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(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (cos.f64 v)) (neg.f64 e) e))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(.f64 e (fma.f64 e (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(.f64 e (fma.f64 e (fma.f64 e (.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (neg.f64 e))) (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))) (sin.f64 v)))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 (.f64 e e) (.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e))) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ (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 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (.f64 e e)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 e (/.f64 (.f64 e #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 (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 v (.f64 v (fma.f64 (.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 e (/.f64 (.f64 e #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 (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 (.f64 e (.f64 e #s(literal -1/24 binary64))) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (fma.f64 e (/.f64 (.f64 e #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 (+.f64 e #s(literal 1 binary64))))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (/.f64 (.f64 e #s(literal -1/5040 binary64)) (+.f64 e #s(literal 1 binary64))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 e (/.f64 (.f64 e #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 (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 (.f64 e (.f64 e #s(literal -1/24 binary64))) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (fma.f64 e (/.f64 (.f64 e #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 (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/24 binary64))) (/.f64 (.f64 (.f64 e e) #s(literal -1/720 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 e (/.f64 (.f64 e #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 (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 (.f64 e (.f64 e #s(literal -1/24 binary64))) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 (.f64 (.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(/ 1 e)
(/.f64 #s(literal 1 binary64) e)
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
e
(+ e (* -1/2 (* e (pow v 2))))
(fma.f64 (.f64 v v) (.f64 e #s(literal -1/2 binary64)) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(fma.f64 (.f64 e (.f64 v v)) (fma.f64 #s(literal 1/24 binary64) (*.f64 v v) #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 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 e #s(literal -1/2 binary64))) e)
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* e (cos v))
(*.f64 e (cos.f64 v))
(* v (+ (* -1/6 (- e (pow e 2))) (* 1/2 (pow e 2))))
(.f64 e (.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))
(* v (+ (* -1/6 (- e (pow e 2))) (* 1/2 (pow e 2))))
(.f64 e (.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))
(* v (+ (* -1/6 (- e (pow e 2))) (* 1/2 (pow e 2))))
(.f64 e (.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))
(* v (+ (* -1/6 (- e (pow e 2))) (* 1/2 (pow e 2))))
(.f64 e (.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))
(* v (+ (* -1/6 (- e (pow e 2))) (* 1/2 (pow e 2))))
(.f64 e (.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))
(* v (+ (* -1/6 (- e (pow e 2))) (* 1/2 (pow e 2))))
(.f64 e (.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))
(* v (+ (* -1/6 (- e (pow e 2))) (* 1/2 (pow e 2))))
(.f64 e (.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))
(* v (+ (* -1/6 (- e (pow e 2))) (* 1/2 (pow e 2))))
(.f64 e (.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))
(* v (+ (* -1/6 (- e (pow e 2))) (* 1/2 (pow e 2))))
(.f64 e (.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))
(* v (+ (* -1/6 (- e (pow e 2))) (* 1/2 (pow e 2))))
(.f64 e (.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))
(* v (+ (* -1/6 (- e (pow e 2))) (* 1/2 (pow e 2))))
(.f64 e (.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))
(* v (+ (* -1/6 (- e (pow e 2))) (* 1/2 (pow e 2))))
(.f64 e (.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))
(* -1/6 (* e v))
(.f64 e (.f64 v #s(literal -1/6 binary64)))
(* e (+ (* -1/6 v) (* 2/3 (* e v))))
(.f64 e (.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))
(* e (+ (* -1/6 v) (* 2/3 (* e v))))
(.f64 e (.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))
(* e (+ (* -1/6 v) (* 2/3 (* e v))))
(.f64 e (.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))
(* 2/3 (* (pow e 2) v))
(.f64 #s(literal 2/3 binary64) (.f64 e (*.f64 e v)))
(* (pow e 2) (+ (* -1/6 (/ v e)) (* 2/3 v)))
(.f64 (.f64 e e) (*.f64 v (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(* (pow e 2) (+ (* -1/6 (/ v e)) (* 2/3 v)))
(.f64 (.f64 e e) (*.f64 v (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(* (pow e 2) (+ (* -1/6 (/ v e)) (* 2/3 v)))
(.f64 (.f64 e e) (*.f64 v (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(* 2/3 (* (pow e 2) v))
(.f64 #s(literal 2/3 binary64) (.f64 e (*.f64 e v)))
(* (pow e 2) (+ (* -1/6 (/ v e)) (* 2/3 v)))
(.f64 (.f64 e e) (*.f64 v (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(* (pow e 2) (+ (* -1/6 (/ v e)) (* 2/3 v)))
(.f64 (.f64 e e) (*.f64 v (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1/6 binary64) e))))
(* (pow e 2) (+ (* -1/6 (/ v e)) (* 2/3 v)))
(.f64 (.f64 e e) (*.f64 v (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal -1/6 binary64) e))))

rewrite388.0ms (4.3%)

Memory

-20.7MiB live, 901.9MiB allocated

Rules

7 740×	`lower-fma.f32`
7 736×	`lower-fma.f64`
4 704×	`lower-*.f32`
4 684×	`lower-*.f64`
3 944×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	409
0	79	405
1	289	393
2	1887	393
0	8498	384

Stop Event

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

Counts

21 → 215

Calls

Call 1

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

Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))))
(+.f64 (.f64 e (sin.f64 v)) (.f64 (.f64 e (sin.f64 v)) (.f64 (cos.f64 v) (neg.f64 e))))
(+.f64 (.f64 e (sin.f64 v)) (.f64 (.f64 (cos.f64 v) (neg.f64 e)) (.f64 e (sin.f64 v))))
(fma.f64 e (sin.f64 v) (.f64 (.f64 e (sin.f64 v)) (*.f64 (cos.f64 v) (neg.f64 e))))
(fma.f64 e (sin.f64 v) (.f64 (.f64 (cos.f64 v) (neg.f64 e)) (*.f64 e (sin.f64 v))))
(fma.f64 (.f64 e (sin.f64 v)) #s(literal 1 binary64) (.f64 (.f64 e (sin.f64 v)) (.f64 (cos.f64 v) (neg.f64 e))))
(fma.f64 (.f64 e (sin.f64 v)) #s(literal 1 binary64) (.f64 (.f64 (cos.f64 v) (neg.f64 e)) (.f64 e (sin.f64 v))))
(fma.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v)) (.f64 (.f64 e (sin.f64 v)) (.f64 (cos.f64 v) (neg.f64 e))))
(fma.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v)) (.f64 (.f64 (cos.f64 v) (neg.f64 e)) (.f64 e (sin.f64 v))))
(fma.f64 (sin.f64 v) e (.f64 (.f64 e (sin.f64 v)) (*.f64 (cos.f64 v) (neg.f64 e))))
(fma.f64 (sin.f64 v) e (.f64 (.f64 (cos.f64 v) (neg.f64 e)) (*.f64 e (sin.f64 v))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (.f64 e (sin.f64 v))) (.f64 (.f64 e (sin.f64 v)) (.f64 (cos.f64 v) (neg.f64 e))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (.f64 e (sin.f64 v))) (.f64 (.f64 (cos.f64 v) (neg.f64 e)) (.f64 e (sin.f64 v))))
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(fma.f64 (.f64 e e) (.f64 #s(literal 1/2 binary64) v) (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)))))
(fma.f64 (-.f64 e (.f64 e e)) (.f64 #s(literal -1/6 binary64) v) (.f64 e (.f64 (*.f64 e #s(literal 1/2 binary64)) v)))
(fma.f64 (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))) v (.f64 e (.f64 (*.f64 e #s(literal 1/2 binary64)) v)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 e e)) v (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)))))
(fma.f64 (.f64 v (-.f64 e (.f64 e e))) #s(literal -1/6 binary64) (.f64 e (.f64 (*.f64 e #s(literal 1/2 binary64)) v)))
(fma.f64 (.f64 v e) (.f64 e #s(literal 1/2 binary64)) (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)))))
(fma.f64 (.f64 v #s(literal -1/6 binary64)) (-.f64 e (.f64 e e)) (.f64 e (.f64 (*.f64 e #s(literal 1/2 binary64)) v)))
(fma.f64 (.f64 v #s(literal 1/2 binary64)) (.f64 e e) (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)))))
(fma.f64 (.f64 v (.f64 e #s(literal 1/2 binary64))) e (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)))))
(fma.f64 (.f64 v (.f64 e e)) #s(literal 1/2 binary64) (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)))))
(/.f64 (fma.f64 (.f64 (.f64 e (.f64 e e)) (.f64 (.f64 e (.f64 e e)) #s(literal 1/8 binary64))) (.f64 v (.f64 v v)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 v (-.f64 e (.f64 e e))) (.f64 (.f64 v (-.f64 e (.f64 e e))) (.f64 v (-.f64 e (.f64 e e))))))) (fma.f64 (.f64 e (.f64 (.f64 e #s(literal 1/2 binary64)) v)) (.f64 e (.f64 (.f64 e #s(literal 1/2 binary64)) v)) (-.f64 (.f64 (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e)))) (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) (.f64 (.f64 e (.f64 (.f64 e #s(literal 1/2 binary64)) v)) (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e))))))))
(/.f64 (-.f64 (.f64 (.f64 e (.f64 (.f64 e #s(literal 1/2 binary64)) v)) (.f64 e (.f64 (.f64 e #s(literal 1/2 binary64)) v))) (.f64 (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e)))) (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e)))))) (-.f64 (.f64 e (.f64 (.f64 e #s(literal 1/2 binary64)) v)) (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))))
(/.f64 (.f64 v (fma.f64 (.f64 (-.f64 e (.f64 e e)) (.f64 (-.f64 e (.f64 e e)) (-.f64 e (.f64 e e)))) #s(literal -1/216 binary64) (.f64 (.f64 e (.f64 e e)) (.f64 (.f64 e (.f64 e e)) #s(literal 1/8 binary64))))) (fma.f64 (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))) (-.f64 (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))) (.f64 #s(literal 1/2 binary64) (.f64 e e))) (.f64 (.f64 (.f64 e e) (.f64 e e)) #s(literal 1/4 binary64))))
(/.f64 (.f64 v (-.f64 (.f64 (.f64 (.f64 e e) (.f64 e e)) #s(literal 1/4 binary64)) (.f64 (.f64 (-.f64 e (.f64 e e)) (-.f64 e (.f64 e e))) #s(literal 1/36 binary64)))) (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (-.f64 e (.f64 e e)))))
(/.f64 (.f64 (fma.f64 (.f64 (-.f64 e (.f64 e e)) (.f64 (-.f64 e (.f64 e e)) (-.f64 e (.f64 e e)))) #s(literal -1/216 binary64) (.f64 (.f64 e (.f64 e e)) (.f64 (.f64 e (.f64 e e)) #s(literal 1/8 binary64)))) v) (fma.f64 (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))) (-.f64 (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))) (.f64 #s(literal 1/2 binary64) (.f64 e e))) (.f64 (.f64 (.f64 e e) (.f64 e e)) #s(literal 1/4 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 e e) (.f64 e e)) #s(literal 1/4 binary64)) (.f64 (.f64 (-.f64 e (.f64 e e)) (-.f64 e (.f64 e e))) #s(literal 1/36 binary64))) v) (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (-.f64 e (.f64 e e)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 e (.f64 e e)) (.f64 (.f64 e (.f64 e e)) #s(literal 1/8 binary64))) (.f64 v (.f64 v v)) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 v (-.f64 e (.f64 e e))) (.f64 (.f64 v (-.f64 e (.f64 e e))) (.f64 v (-.f64 e (.f64 e e)))))))) (neg.f64 (fma.f64 (.f64 e (.f64 (.f64 e #s(literal 1/2 binary64)) v)) (.f64 e (.f64 (.f64 e #s(literal 1/2 binary64)) v)) (-.f64 (.f64 (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e)))) (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) (.f64 (.f64 e (.f64 (.f64 e #s(literal 1/2 binary64)) v)) (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 e (.f64 (.f64 e #s(literal 1/2 binary64)) v)) (.f64 e (.f64 (.f64 e #s(literal 1/2 binary64)) v))) (.f64 (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e)))) (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))))) (neg.f64 (-.f64 (.f64 e (.f64 (.f64 e #s(literal 1/2 binary64)) v)) (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e)))))))
(/.f64 (neg.f64 (.f64 v (fma.f64 (.f64 (-.f64 e (.f64 e e)) (.f64 (-.f64 e (.f64 e e)) (-.f64 e (.f64 e e)))) #s(literal -1/216 binary64) (.f64 (.f64 e (.f64 e e)) (.f64 (.f64 e (.f64 e e)) #s(literal 1/8 binary64)))))) (neg.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))) (-.f64 (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))) (.f64 #s(literal 1/2 binary64) (.f64 e e))) (.f64 (.f64 (.f64 e e) (.f64 e e)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 v (-.f64 (.f64 (.f64 (.f64 e e) (.f64 e e)) #s(literal 1/4 binary64)) (.f64 (.f64 (-.f64 e (.f64 e e)) (-.f64 e (.f64 e e))) #s(literal 1/36 binary64))))) (neg.f64 (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (-.f64 e (.f64 e e))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (-.f64 e (.f64 e e)) (.f64 (-.f64 e (.f64 e e)) (-.f64 e (.f64 e e)))) #s(literal -1/216 binary64) (.f64 (.f64 e (.f64 e e)) (.f64 (.f64 e (.f64 e e)) #s(literal 1/8 binary64)))) v)) (neg.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))) (-.f64 (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))) (.f64 #s(literal 1/2 binary64) (.f64 e e))) (.f64 (.f64 (.f64 e e) (.f64 e e)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 e e) (.f64 e e)) #s(literal 1/4 binary64)) (.f64 (.f64 (-.f64 e (.f64 e e)) (-.f64 e (.f64 e e))) #s(literal 1/36 binary64))) v)) (neg.f64 (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal 1/6 binary64) (-.f64 e (.f64 e e))))))
(/.f64 (fma.f64 (.f64 (.f64 (-.f64 e (.f64 e e)) (.f64 (-.f64 e (.f64 e e)) (-.f64 e (.f64 e e)))) #s(literal -1/216 binary64)) (.f64 v (.f64 v v)) (.f64 (.f64 (.f64 e (.f64 e e)) (.f64 (.f64 e (.f64 e e)) #s(literal 1/8 binary64))) (.f64 v (.f64 v v)))) (fma.f64 (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e)))) (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e)))) (-.f64 (.f64 (.f64 e (.f64 (.f64 e #s(literal 1/2 binary64)) v)) (.f64 e (.f64 (.f64 e #s(literal 1/2 binary64)) v))) (.f64 (.f64 v (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e)))) (.f64 e (.f64 (*.f64 e #s(literal 1/2 binary64)) v))))))
(.f64 v (fma.f64 #s(literal 1/2 binary64) (.f64 e e) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e e) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e)))) v)

eval99.0ms (1.1%)

Memory: 5.8MiB live, 290.2MiB allocated
Compiler: Compiled 15 061 to 1 074 computations (92.9% saved)

prune132.0ms (1.5%)

Memory

-6.5MiB live, 435.4MiB allocated

Pruning

48 alts after pruning (39 fresh and 9 done)

	Pruned	Kept	Total
New	677	12	689
Fresh	5	27	32
Picked	1	4	5
Done	0	5	5
Total	683	48	731

Accuracy

100.0%

Counts

731 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(/.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)))
	97.7%	(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
	52.3%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
	52.2%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)))
	50.9%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
	40.9%	(.f64 (/.f64 (.f64 e (*.f64 e e)) (fma.f64 e e #s(literal 0 binary64))) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
	77.0%	(.f64 (.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) #s(literal -1/2 binary64))) e)
	50.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v #s(literal 1 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
✓	51.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
✓	97.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
	49.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)))
	49.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
	96.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v))))
	48.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ e 1) #s(literal 1 binary64)) (*.f64 v e))))
	49.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (sqrt.f64 e)) (/.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 e)))))
	49.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e))))
	97.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/2 binary64)))))
	68.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (.f64 e (neg.f64 e)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64)) (.f64 e (neg.f64 e))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (.f64 e (cos.f64 v)) e)) (sin.f64 v))))
✓	97.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)))
	49.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v)) (sqrt.f64 e)) (sqrt.f64 e)))
	49.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (sin v) (fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v)) (sqrt.f64 e)) (sqrt.f64 e)))
	98.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
	97.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))
	49.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (sin v) (sqrt e)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 (sqrt.f64 e) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 #s(literal -1/6 binary64) (sqrt.f64 e))) (sqrt.f64 e)))) (sqrt.f64 e)))
	49.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (sin v) (sqrt e)) (.f64 v (fma.f64 v (.f64 v (*.f64 #s(literal -1/6 binary64) (sqrt.f64 e))) (sqrt.f64 e)))) (sqrt.f64 e)))
✓	49.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (sin v) (sqrt e)) (*.f64 v (sqrt.f64 e))) (sqrt.f64 e)))
✓	99.0%	#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))))))
✓	97.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
	50.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 #s(literal 1/120 binary64) (-.f64 #s(literal 1 binary64) e) (.f64 e #s(literal -1/8 binary64))) (fma.f64 e #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) e)))) (-.f64 #s(literal 1 binary64) e))))))
	50.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (*.f64 v (-.f64 #s(literal 1 binary64) e)))))
	99.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (.f64 e (-.f64 (/.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (cos.f64 v)))))))
	49.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
	49.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v))))
	49.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
	50.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v)))))
✓	49.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
	49.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (sin v) (/ 1 e)) (.f64 v (fma.f64 (.f64 v 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))))
	49.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 (.f64 v #s(approx (+ (* 1/2 (* e e)) (* -1/6 (- e (* e e)))) (.f64 e #s(literal -1/6 binary64)))) v (-.f64 e (.f64 e e))))))
	27.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) #s(approx (+ ( (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e) (.f64 e (.f64 (.f64 e (.f64 v v)) #s(literal 2/3 binary64))))))))
	49.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (fma.f64 e (.f64 v (.f64 v #s(literal -1/6 binary64))) e)))))
✓	50.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (-.f64 e (*.f64 e e))))))
	27.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (.f64 (.f64 e e) (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64)))))))
	27.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (.f64 e (.f64 e (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64))))))))
	26.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) #s(approx (* v (+ (* e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e))) (.f64 (.f64 v v) (.f64 e (.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))))))
	36.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) #s(approx (* v (+ (* e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e))) (.f64 (.f64 e (.f64 e v)) (+.f64 (fma.f64 v (.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))))))

Compiler

Compiled 1 876 to 679 computations (63.8% saved)

regimes65.0ms (0.7%)

Memory

-2.3MiB live, 199.9MiB allocated

Counts

70 → 1

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	e
20.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
19.0ms	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)

regimes52.0ms (0.6%)

Memory

0.8MiB live, 160.8MiB allocated

Counts

56 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.0%	1	`e`
99.0%	1	`v`
99.0%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes50.0ms (0.6%)

Memory

0.7MiB live, 160.2MiB allocated

Counts

54 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (-.f64 e (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (*.f64 v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (fma.f64 e (.f64 v (.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 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) #s(approx (* v (+ (* e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e))) (.f64 (.f64 v v) (.f64 e (.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (.f64 e (.f64 e (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (.f64 (.f64 e e) (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ e 1) #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (.f64 v v) #s(approx (+ (* e (* e 1/2)) (* -1/6 (- e (* e e)))) (*.f64 e #s(literal -1/6 binary64))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 (.f64 v #s(approx (+ (* 1/2 (* e e)) (* -1/6 (- e (* e e)))) (.f64 e #s(literal -1/6 binary64)))) v (-.f64 e (.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (sin v) (sqrt e)) (*.f64 v (sqrt.f64 e))) (sqrt.f64 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 (*.f64 v #s(literal 1 binary64)) (/.f64 (+.f64 e #s(literal 1 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 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) #s(approx (+ ( (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e) (.f64 e (.f64 (.f64 e (.f64 v v)) #s(literal 2/3 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 (.f64 v (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (sin v) (fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v)) (sqrt.f64 e)) (sqrt.f64 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (.f64 v v) (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 (.f64 v (fma.f64 #s(literal 1/2 binary64) (.f64 e e) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) v (-.f64 e (.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (sin v) (/ 1 e)) (.f64 v (fma.f64 (.f64 v 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))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) #s(approx (* v (+ (* e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e))) (.f64 (.f64 e (.f64 e v)) (+.f64 (fma.f64 v (.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64)) (/.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 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 e (.f64 v v)))) (*.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (sin v) (sqrt e)) (sqrt e)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/120 binary64) (.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (sin v) (sqrt e)) (.f64 v (fma.f64 v (.f64 v (*.f64 #s(literal -1/6 binary64) (sqrt.f64 e))) (sqrt.f64 e)))) (sqrt.f64 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 v (fma.f64 e (.f64 e e) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 #s(literal 1/120 binary64) (-.f64 #s(literal 1 binary64) e) (.f64 e #s(literal -1/8 binary64))) (fma.f64 e #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) e)))) (-.f64 #s(literal 1 binary64) e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v)) (sqrt.f64 e)) (sqrt.f64 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (sqrt.f64 e)) (/.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 e)))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (sin v) (sqrt e)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 (sqrt.f64 e) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 #s(literal -1/6 binary64) (sqrt.f64 e))) (sqrt.f64 e)))) (sqrt.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 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
(/.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 (neg.f64 (sin.f64 v)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (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	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
99.0%	1	`v`
99.0%	1	`e`
99.0%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes44.0ms (0.5%)

Memory

-19.9MiB live, 139.8MiB allocated

Counts

46 → 1

Calls

Call 1

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

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

Calls

3 calls:

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
98.4%	1	`e`
98.4%	1	`v`
98.4%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes43.0ms (0.5%)

Memory

15.5MiB live, 137.5MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (-.f64 e (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (*.f64 v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (fma.f64 e (.f64 v (.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 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) #s(approx (* v (+ (* e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e))) (.f64 (.f64 v v) (.f64 e (.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (.f64 e (.f64 e (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (.f64 (.f64 e e) (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ e 1) #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (.f64 v v) #s(approx (+ (* e (* e 1/2)) (* -1/6 (- e (* e e)))) (*.f64 e #s(literal -1/6 binary64))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 (.f64 v #s(approx (+ (* 1/2 (* e e)) (* -1/6 (- e (* e e)))) (.f64 e #s(literal -1/6 binary64)))) v (-.f64 e (.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (sin v) (sqrt e)) (*.f64 v (sqrt.f64 e))) (sqrt.f64 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 (*.f64 v #s(literal 1 binary64)) (/.f64 (+.f64 e #s(literal 1 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 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) #s(approx (+ ( (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e) (.f64 e (.f64 (.f64 e (.f64 v v)) #s(literal 2/3 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 (.f64 v (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (sin v) (fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v)) (sqrt.f64 e)) (sqrt.f64 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (.f64 v v) (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 (.f64 v (fma.f64 #s(literal 1/2 binary64) (.f64 e e) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) v (-.f64 e (.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (sin v) (/ 1 e)) (.f64 v (fma.f64 (.f64 v 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))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) #s(approx (* v (+ (* e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e))) (.f64 (.f64 e (.f64 e v)) (+.f64 (fma.f64 v (.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64)) (/.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 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 e (.f64 v v)))) (*.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (sin v) (sqrt e)) (sqrt e)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/120 binary64) (.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (sin v) (sqrt e)) (.f64 v (fma.f64 v (.f64 v (*.f64 #s(literal -1/6 binary64) (sqrt.f64 e))) (sqrt.f64 e)))) (sqrt.f64 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 v (fma.f64 e (.f64 e e) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 #s(literal 1/120 binary64) (-.f64 #s(literal 1 binary64) e) (.f64 e #s(literal -1/8 binary64))) (fma.f64 e #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) e)))) (-.f64 #s(literal 1 binary64) e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v)) (sqrt.f64 e)) (sqrt.f64 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (sqrt.f64 e)) (/.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 e)))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (fma.f64 (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal -1/120 binary64)))) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (sin v) (sqrt e)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 (sqrt.f64 e) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 #s(literal -1/6 binary64) (sqrt.f64 e))) (sqrt.f64 e)))) (sqrt.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:

14.0ms	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
97.9%	1	`e`
97.9%	1	`v`
97.9%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes41.0ms (0.5%)

Memory

17.5MiB live, 135.8MiB allocated

Counts

44 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
52.3%	1	`e`
52.3%	1	`v`
52.3%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes40.0ms (0.4%)

Memory

-32.4MiB live, 128.6MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (-.f64 e (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (*.f64 v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (fma.f64 e (.f64 v (.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 v (*.f64 v #s(literal -1/6 binary64))) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) #s(approx (* v (+ (* e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e))) (.f64 (.f64 v v) (.f64 e (.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (.f64 e (.f64 e (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v #s(approx (+ ( e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e)) (.f64 (.f64 e e) (fma.f64 v (*.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ e 1) #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (.f64 v v) #s(approx (+ (* e (* e 1/2)) (* -1/6 (- e (* e e)))) (*.f64 e #s(literal -1/6 binary64))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 (.f64 v #s(approx (+ (* 1/2 (* e e)) (* -1/6 (- e (* e e)))) (.f64 e #s(literal -1/6 binary64)))) v (-.f64 e (.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (sin v) (sqrt e)) (*.f64 v (sqrt.f64 e))) (sqrt.f64 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 (*.f64 v #s(literal 1 binary64)) (/.f64 (+.f64 e #s(literal 1 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 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) #s(approx (+ ( (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e) (.f64 e (.f64 (.f64 e (.f64 v v)) #s(literal 2/3 binary64))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal 1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 (.f64 v (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (sin v) (fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v)) (sqrt.f64 e)) (sqrt.f64 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 e (neg.f64 e) (fma.f64 (.f64 v v) (fma.f64 e (.f64 e #s(literal 1/2 binary64)) (.f64 #s(literal -1/6 binary64) (-.f64 e (*.f64 e e)))) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 (.f64 v (fma.f64 #s(literal 1/2 binary64) (.f64 e e) (.f64 #s(literal -1/6 binary64) (-.f64 e (.f64 e e))))) v (-.f64 e (.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (sin v) (/ 1 e)) (.f64 v (fma.f64 (.f64 v 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))))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) #s(approx (* v (+ (* e (neg e)) (+ (* (* v v) (+ (* e (* e 1/2)) (* -1/6 (- e (* e e))))) e))) (.f64 (.f64 e (.f64 e v)) (+.f64 (fma.f64 v (.f64 v #s(literal 2/3 binary64)) #s(literal -1 binary64)) (/.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 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 e (.f64 v v)))) (*.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (sin v) (sqrt e)) (sqrt e)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/120 binary64) (.f64 e (.f64 (.f64 v v) #s(literal -1/5040 binary64)))) (*.f64 e #s(literal -1/6 binary64))) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (sin v) (sqrt e)) (.f64 v (fma.f64 v (.f64 v (*.f64 #s(literal -1/6 binary64) (sqrt.f64 e))) (sqrt.f64 e)))) (sqrt.f64 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 v (fma.f64 e (.f64 e e) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (+.f64 e #s(literal -1 binary64)) #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx ( (sin v) (- 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 #s(literal 1/120 binary64) (-.f64 #s(literal 1 binary64) e) (.f64 e #s(literal -1/8 binary64))) (fma.f64 e #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) e)))) (-.f64 #s(literal 1 binary64) e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v)) (sqrt.f64 e)) (sqrt.f64 e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) (sqrt.f64 e)) (/.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 e)))))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
52.2%	1	`v`
52.2%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
52.2%	1	`e`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes31.0ms (0.3%)

Memory

23.1MiB live, 103.2MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.0%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
51.0%	1	`e`
51.0%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes9.0ms (0.1%)

Memory

-10.5MiB live, 29.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.4%	1	`e`
50.4%	1	`v`
50.4%	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)

regimes5.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
49.9%	1	`e`
49.9%	1	`v`
49.9%	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)

simplify10.0ms (0.1%)

Memory

-6.8MiB live, 33.0MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
16×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	269
1	103	269
2	118	269
3	126	269
4	131	269
5	132	269

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

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

soundness967.0ms (10.7%)

Memory

0.1MiB live, 1 042.2MiB allocated

Rules

14 120×	`lower-fma.f64`
14 120×	`lower-fma.f32`
12 766×	`lower-fma.f64`
12 766×	`lower-fma.f32`
12 674×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	1209
1	584	1194
2	1652	1162
3	4907	1089
0	8039	1013
0	371	5308
1	1197	5102
2	3659	5071
0	8603	4827
0	29	145
0	47	138
1	157	134
2	922	134
0	8387	134
0	9	29
0	15	29
1	42	29
2	241	29
3	2097	29
0	8370	27
0	424	6481
1	1322	6300
2	3937	6273
0	8642	5895

Stop Event

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

Compiler

Compiled 313 to 138 computations (55.9% saved)

preprocess72.0ms (0.8%)

Memory: 12.8MiB live, 250.7MiB allocated
Remove: (negabs v)
Compiler: Compiled 428 to 192 computations (55.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze7.0ms (0.1%)

sample1.2s (13.5%)

explain163.0ms (1.8%)

preprocess82.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize39.0ms (0.4%)

series22.0ms (0.2%)

simplify628.0ms (7%)

rewrite304.0ms (3.4%)

eval58.0ms (0.6%)

prune69.0ms (0.8%)

simplify236.0ms (2.6%)

localize108.0ms (1.2%)

series33.0ms (0.4%)

simplify328.0ms (3.6%)

rewrite273.0ms (3%)

eval294.0ms (3.3%)

prune276.0ms (3.1%)

simplify375.0ms (4.2%)

localize238.0ms (2.6%)

series40.0ms (0.4%)

simplify301.0ms (3.3%)

rewrite391.0ms (4.3%)

eval514.0ms (5.7%)

prune216.0ms (2.4%)

simplify221.0ms (2.5%)

localize142.0ms (1.6%)

series54.0ms (0.6%)

simplify324.0ms (3.6%)

rewrite388.0ms (4.3%)

eval99.0ms (1.1%)

prune132.0ms (1.5%)

regimes65.0ms (0.7%)

regimes52.0ms (0.6%)

regimes50.0ms (0.6%)

regimes44.0ms (0.5%)

regimes43.0ms (0.5%)

regimes41.0ms (0.5%)

regimes40.0ms (0.4%)

regimes31.0ms (0.3%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

simplify10.0ms (0.1%)

soundness967.0ms (10.7%)

preprocess72.0ms (0.8%)

end0.0ms (0%)

Profiling