Metrics for Trigonometry A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze7.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.3s (19.3%)

Memory

27.4MiB live, 3 028.4MiB allocated

Samples

942.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 695.0ms

ival-sin: 225.0ms (32.4% of total)

ival-cos: 189.0ms (27.2% of total)

ival-mult: 110.0ms (15.8% of total)

ival-div: 55.0ms (7.9% of total)

ival-<=: 52.0ms (7.5% of total)

ival-add: 39.0ms (5.6% of total)

ival-and: 12.0ms (1.7% of total)

exact: 11.0ms (1.6% of total)

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

Bogosity

explain111.0ms (1.6%)

Memory

39.2MiB live, 318.7MiB 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

51.0ms

512×

valid

Compiler

Compiled 79 to 31 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-cos: 11.0ms (31.1% of total)

ival-sin: 11.0ms (31.1% of total)

ival-mult: 7.0ms (19.8% of total)

ival-div: 3.0ms (8.5% of total)

ival-add: 2.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess74.0ms (1.1%)

Memory

-11.0MiB live, 67.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs v)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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 11 to 9 computations (18.2% saved)

simplify4.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (0.5%)

Memory

-22.9MiB live, 96.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 v)
accuracy	0.03125	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
accuracy	0.1015625	(*.f64 e (sin.f64 v))
accuracy	0.13671875	(*.f64 e (cos.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: 21.0ms

ival-sin: 7.0ms (34.1% of total)

ival-cos: 6.0ms (29.2% of total)

ival-mult: 3.0ms (14.6% of total)

ival-div: 2.0ms (9.7% of total)

ival-add: 1.0ms (4.9% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

-0.6MiB live, 38.3MiB allocated

Counts

6 → 120

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	e	@	inf	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
2.0ms	e	@	0	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
2.0ms	v	@	0	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
2.0ms	e	@	-inf	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
1.0ms	v	@	inf	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))

simplify184.0ms (2.7%)

Memory

1.4MiB live, 353.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 118

Calls

Call 1

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

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

rewrite168.0ms (2.5%)

Memory

-11.0MiB live, 354.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 347

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (cos.f64 v) e) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (cos.f64 v) e) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 9 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 6 binary64))) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 v) e))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))))
(neg.f64 (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(fma.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) #s(literal 1 binary64) (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (.f64 (neg.f64 e) (cos.f64 v))))
(fma.f64 (.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (cos.f64 v) e)) (.f64 (.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64) (.f64 (.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (*.f64 (cos.f64 v) e))))
(fma.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (.f64 (.f64 (neg.f64 e) (cos.f64 v)) (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (.f64 (sin.f64 v) e) #s(literal -1 binary64))) (/.f64 (/.f64 (.f64 (cos.f64 v) e) (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (.f64 (sin.f64 v) e) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (.f64 (sin.f64 v) e) #s(literal -1 binary64))) (/.f64 (/.f64 (.f64 (cos.f64 v) e) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (pow.f64 (*.f64 (sin.f64 v) e) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(exp.f64 (.f64 (-.f64 (log1p.f64 (.f64 (cos.f64 v) e)) (log.f64 (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))))) (.f64 (.f64 (neg.f64 e) (cos.f64 v)) (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))))))
(+.f64 (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))) (.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))) (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))))
(+.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (*.f64 (neg.f64 e) (cos.f64 v))))
(+.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (cos.f64 v) e))) (.f64 (.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (cos.f64 v) e))))
(*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v))
(*.f64 (neg.f64 (neg.f64 (sin.f64 v))) e)
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v)))
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 e) (sin.f64 v)))
(.f64 (.f64 (sin.f64 v) e) #s(literal 1 binary64))
(*.f64 (sin.f64 v) (neg.f64 (neg.f64 e)))
(*.f64 (sin.f64 v) e)
(.f64 e (.f64 (sin.f64 v) #s(literal 1 binary64)))
(*.f64 e (neg.f64 (neg.f64 (sin.f64 v))))
(*.f64 e (sin.f64 v))
(.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) e))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (neg.f64 e) (sin.f64 v)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (sin.f64 v) e) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (neg.f64 e) (sin.f64 v))))))
(neg.f64 (*.f64 (neg.f64 e) (sin.f64 v)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (sin.f64 v)))
(sin.f64 v)
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v))))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64)))
(.f64 (.f64 (cos.f64 v) e) #s(literal 1 binary64))
(*.f64 (cos.f64 v) e)
(*.f64 e (cos.f64 v))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e))
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 v) e)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (cos.f64 v) e)))
(*.f64 (cos.f64 v) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(cos.f64 v)

eval90.0ms (1.3%)

Memory: 22.7MiB live, 219.0MiB allocated
Compiler: Compiled 12 335 to 1 300 computations (89.5% saved)

prune15.0ms (0.2%)

Memory

20.0MiB live, 58.9MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	455	10	465
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	456	10	466

Accuracy

100.0%

Counts

466 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.9%	(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	98.5%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	52.9%	(/.f64 #s(approx (* e (sin v)) (.f64 (.f64 e (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64))) v)) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
▶	99.7%	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)))
▶	99.8%	(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
	99.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
▶	98.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))
▶	53.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
	97.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))

Compiler

Compiled 226 to 182 computations (19.5% saved)

simplify160.0ms (2.4%)

Memory

-12.1MiB live, 110.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

1 736×	`lower-fma.f32`
1 732×	`lower-fma.f64`
1 304×	`lower-*.f32`
1 294×	`lower-*.f64`
776×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	186
0	46	182
1	73	182
2	106	182
3	178	182
4	402	182
5	705	182
6	958	182
7	1262	182
8	1432	182
9	1860	182
10	2728	182
11	3322	182
12	3794	182
13	3844	182
14	3864	182
15	3875	182
16	3883	182
17	3971	182
18	4133	182
19	4133	182
20	4133	182
0	4133	182

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize83.0ms (1.2%)

Memory

-8.4MiB live, 229.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 v)
accuracy	0	(cos.f64 v)
accuracy	0.11166000976844202	(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))
accuracy	0.1640625	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
accuracy	0.00390625	(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
accuracy	0.01171875	(.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))
accuracy	0.1015625	(*.f64 (sin.f64 v) e)
accuracy	1.093836531485707	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))
accuracy	0	(sin.f64 v)
accuracy	0.03125	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
accuracy	0.1015625	(*.f64 e (sin.f64 v))
accuracy	0.8580120556934017	#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
accuracy	0	(+.f64 e #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
accuracy	0.015625	(/.f64 e (+.f64 e #s(literal 1 binary64)))
accuracy	29.679362685430487	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
accuracy	0	(sin.f64 v)
accuracy	0	(cos.f64 v)
accuracy	0.02734375	(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy	0.10546875	(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))

Samples

65.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 168 to 25 computations (85.1% saved)

Precisions

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

ival-mult: 12.0ms (30.8% of total)

ival-div: 9.0ms (23.1% of total)

ival-cos: 6.0ms (15.4% of total)

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

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

ival-neg: 1.0ms (2.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.6%)

Memory

14.5MiB live, 96.0MiB allocated

Counts

19 → 396

Calls

Call 1

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

Outputs
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) (patch (.f64 (/.f64 e (fma.f64 (cos.f64 v) e #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 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) (patch (.f64 (/.f64 e (fma.f64 (cos.f64 v) e #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 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) (patch (.f64 (/.f64 e (fma.f64 (cos.f64 v) e #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 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) (patch (.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (/ e (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e))) (taylor 0 v) (#s(alt (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 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 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 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 (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 e) (taylor 0 v) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* -1/2 (* e (pow v 2))))) (taylor 0 v) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) (taylor 0 v) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) (taylor 0 v) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 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 (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (patch (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (patch (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (patch (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (patch (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 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)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 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)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 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)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* e v) (taylor 0 v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ e (* -1/6 (* e (pow v 2))))) (taylor 0 v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) (taylor 0 v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) (taylor 0 v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt v (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* -1/6 (pow v 2)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (+ 1 e) (taylor 0 v) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* -1/2 (* e (pow v 2))))) (taylor 0 v) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) (taylor 0 v) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) (taylor 0 v) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) #<representation binary64>) () ())) ())
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#s(alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) (taylor -inf e) (#s(alt (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (patch (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf e) (#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) (taylor -inf e) (#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) (taylor -inf e) (#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt e (taylor -inf e) (#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* e (+ 1 (/ 1 e))) (taylor -inf e) (#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* e (+ 1 (/ 1 e))) (taylor -inf e) (#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* e (+ 1 (/ 1 e))) (taylor -inf e) (#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) #<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 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) #<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 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) #<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 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow e 2) (* (cos v) (sin v)))) (taylor -inf e) (#s(alt (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) (patch (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) (taylor -inf e) (#s(alt (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) (patch (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) (taylor -inf e) (#s(alt (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) (patch (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) (taylor -inf e) (#s(alt (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) (patch (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (cos v))) (taylor -inf e) (#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (cos v) (/ 1 e)))) (taylor -inf e) (#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (cos v) (/ 1 e)))) (taylor -inf e) (#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (cos v) (/ 1 e)))) (taylor -inf e) (#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 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 (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (cos v)) (sin v)) (taylor -inf e) (#s(alt (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))))) (taylor -inf e) (#s(alt (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 (sin.f64 v) e) (patch (.f64 (sin.f64 v) e) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 (sin.f64 v) e) (patch (.f64 (sin.f64 v) e) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 (sin.f64 v) e) (patch (.f64 (sin.f64 v) e) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 (sin.f64 v) e) (patch (.f64 (sin.f64 v) e) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	v	@	inf	((* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (* (sin v) e))
5.0ms	e	@	0	((* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (* (sin v) e))
5.0ms	v	@	0	((* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (* (sin v) e))
4.0ms	e	@	-inf	((* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (* (sin v) e))
3.0ms	v	@	-inf	((* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (* (sin v) e))

simplify178.0ms (2.6%)

Memory

-8.6MiB live, 347.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 624×	`lower-fma.f64`
11 624×	`lower-fma.f32`
6 496×	`lower-*.f64`
6 496×	`lower-*.f32`
4 332×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	438	5709
1	1389	5545
2	4253	5431
0	8491	5121

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 389

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 (+ 1 e))
(+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e)))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 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
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
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(* -1 e)
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e (cos v)) (sin v))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))

Outputs
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (.f64 v v) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* 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))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/720 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))))) (.f64 v v) (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(/ e (+ 1 e))
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e)))
(fma.f64 (.f64 (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v)) #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)))) (.f64 v v) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 v) v) (fma.f64 (.f64 #s(literal 1/2 binary64) e) (/.f64 (fma.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 #s(literal 1/24 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 #s(literal -1/720 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64))))) (.f64 v v) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) e #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(fma.f64 (.f64 e (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) e) (pow.f64 v #s(literal 4 binary64)) (.f64 e (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)))) (.f64 v v) (+.f64 #s(literal 1 binary64) e))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64)) (.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (.f64 v v) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* 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))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/720 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))))) (.f64 v v) (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (.f64 v v) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* 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))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1/24 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/720 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) e)) (.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))) (.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))))) (.f64 v v) (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(* e v)
(*.f64 v e)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(.f64 (fma.f64 (.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(.f64 (fma.f64 (.f64 e (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64))) (.f64 v v) e) v)
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -1/5040 binary64) e) (pow.f64 v #s(literal 4 binary64)) (.f64 e (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)))) (.f64 v e))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) v)
(+ 1 e)
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(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)

rewrite180.0ms (2.7%)

Memory

-40.1MiB live, 389.1MiB allocated

Rules

5 126×	`lower-fma.f32`
5 122×	`lower-fma.f64`
4 196×	`lower-*.f32`
4 186×	`lower-*.f64`
3 504×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	153
0	46	148
1	161	148
2	947	146
0	9240	146

Stop Event

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

Counts

19 → 1 131

Calls

Call 1

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

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

eval233.0ms (3.5%)

Memory: 40.9MiB live, 666.1MiB allocated
Compiler: Compiled 37 528 to 3 869 computations (89.7% saved)

prune58.0ms (0.9%)

Memory

-28.2MiB live, 212.1MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1 805	20	1 825
Fresh	1	4	5
Picked	2	3	5
Done	0	0	0
Total	1 808	27	1 835

Accuracy

100.0%

Counts

1 835 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.9%	(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	61.6%	(/.f64 (.f64 (neg.f64 (.f64 e e)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e)
	53.2%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	96.9%	(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
	72.2%	(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #s(literal -1 binary64))))
	54.6%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal 1/6 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal -1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
▶	54.7%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
	53.5%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)))
	98.5%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
✓	99.8%	(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
▶	98.1%	(.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) (sin.f64 v))
▶	99.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
	53.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
	52.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
	52.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))))
✓	98.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))
	47.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 (neg.f64 (.f64 e e)) #s(literal 1 binary64)) (.f64 e (-.f64 #s(literal -1 binary64) e))) v))
✓	53.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
▶	53.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
	97.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
	52.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
	97.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
	2.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
	52.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
▶	52.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
	52.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)))))

Compiler

Compiled 612 to 479 computations (21.7% saved)

simplify189.0ms (2.8%)

Memory

-7.5MiB live, 277.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

13 842×	`lower-fma.f32`
13 834×	`lower-fma.f64`
3 008×	`lower-*.f32`
2 998×	`lower-*.f64`
2 910×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	299
0	71	299
1	111	285
2	184	283
3	441	283
4	1057	283
5	1414	283
6	1874	283
7	2986	283
8	4672	283
9	7119	283
0	8010	271

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

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

localize160.0ms (2.4%)

Memory

-0.8MiB live, 275.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
accuracy	0.015625	(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)
accuracy	0.10546875	(.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) (sin.f64 v))
accuracy	0.9310024617748214	#s(approx (/ e (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
accuracy	0.08203125	(fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e))
accuracy	0.16015625	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
accuracy	12.80279253041659	(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)
accuracy	29.501801504944424	#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v))
accuracy	0.0078125	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)
accuracy	0.015625	(/.f64 (+.f64 #s(literal 1 binary64) e) e)
accuracy	0.17578125	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))
accuracy	29.4323337096627	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
accuracy	0	(*.f64 v e)
accuracy	1.6429300310225734	#s(approx (* (/ e (+ e 1)) v) (*.f64 v e))
accuracy	29.4323337096627	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
accuracy	0	(cos.f64 v)
accuracy	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
accuracy	0.00390625	(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
accuracy	0.213222509768442	(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))

Samples

115.0ms	254×	0	valid
2.0ms	1×	5	exit
1.0ms	1×	1	valid

Compiler

Compiled 224 to 43 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 35.0ms (43.9% of total)

ival-div: 15.0ms (18.8% of total)

ival-add: 10.0ms (12.5% of total)

ival-sin: 6.0ms (7.5% of total)

ival-cos: 5.0ms (6.3% of total)

const: 4.0ms (5% of total)

ival-sub: 3.0ms (3.8% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.6%)

Memory

28.9MiB live, 104.9MiB allocated

Counts

21 → 444

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	v	@	-inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (sin v) (- (cos v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (* (+ (* (cos v) (neg e)) 1) e) (+ (* (cos v) (neg e)) 1) (cos v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)))
4.0ms	e	@	0	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (sin v) (- (cos v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (* (+ (* (cos v) (neg e)) 1) e) (+ (* (cos v) (neg e)) 1) (cos v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)))
4.0ms	v	@	inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (sin v) (- (cos v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (* (+ (* (cos v) (neg e)) 1) e) (+ (* (cos v) (neg e)) 1) (cos v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)))
3.0ms	v	@	0	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (sin v) (- (cos v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (* (+ (* (cos v) (neg e)) 1) e) (+ (* (cos v) (neg e)) 1) (cos v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)))
3.0ms	e	@	-inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (sin v) (- (cos v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (* (+ (* (cos v) (neg e)) 1) e) (+ (* (cos v) (neg e)) 1) (cos v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)))

simplify198.0ms (2.9%)

Memory

-16.1MiB live, 301.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 206×	`lower-fma.f64`
8 206×	`lower-fma.f32`
6 336×	`lower-*.f64`
6 336×	`lower-*.f32`
2 818×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	514	6846
1	1579	6617
2	4551	6524
0	8154	6184

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 436

Calls

Call 1

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

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

rewrite180.0ms (2.7%)

Memory

28.1MiB live, 308.9MiB allocated

Rules

4 852×	`lower-/.f32`
4 840×	`lower-/.f64`
4 240×	`lower-*.f32`
4 230×	`lower-*.f64`
3 612×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	261
0	71	255
1	287	245
2	2092	245
0	8845	229

Stop Event

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

Counts

21 → 635

Calls

Call 1

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

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

eval169.0ms (2.5%)

Memory: -8.6MiB live, 344.7MiB allocated
Compiler: Compiled 26 291 to 3 711 computations (85.9% saved)

prune51.0ms (0.8%)

Memory

14.9MiB live, 138.3MiB allocated

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	1 084	12	1 096
Fresh	5	14	19
Picked	2	3	5
Done	0	3	3
Total	1 091	32	1 123

Accuracy

100.0%

Counts

1 123 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.9%	(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	61.6%	(/.f64 (.f64 (neg.f64 (.f64 e e)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e)
	53.2%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	96.9%	(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
	72.2%	(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #s(literal -1 binary64))))
	54.3%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (.f64 #s(literal -1/3 binary64) e)) (.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
	53.5%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
▶	53.4%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v)))
	53.6%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (+.f64 (fma.f64 (fma.f64 (.f64 v (/.f64 v e)) #s(literal 1/6 binary64) (.f64 (*.f64 #s(literal -1/3 binary64) v) v)) e #s(literal 1 binary64)) e)) v)))
	5.7%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)) v)))
	5.7%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 v v) #s(literal -1 binary64)) (neg.f64 e))) v)))
	54.7%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 #s(literal 1 binary64) e))))))
	5.0%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v))))
	53.8%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (+.f64 (fma.f64 #s(literal -1/3 binary64) v (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) v))) (/.f64 (/.f64 #s(literal 1 binary64) v) e)) e))))
	53.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 #s(literal 1 binary64) e)) v)) e))
	98.5%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
✓	99.8%	(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
▶	54.7%	(.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ ( (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 #s(literal 1 binary64) e)) v))))
✓	98.1%	(.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) (sin.f64 v))
✓	99.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
	96.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))))
▶	98.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v))))
✓	98.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))
	47.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 (neg.f64 (.f64 e e)) #s(literal 1 binary64)) (.f64 e (-.f64 #s(literal -1 binary64) e))) v))
✓	53.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
	97.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
	52.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
▶	97.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
	2.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
▶	52.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
✓	52.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
	52.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)))))

Compiler

Compiled 745 to 601 computations (19.3% saved)

simplify123.0ms (1.8%)

Memory

-14.0MiB live, 178.1MiB 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	#s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e))
cost-diff	0	(.f64 #s(approx (+ ( (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
cost-diff	0	#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 #s(literal 1 binary64) e)) v))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 #s(literal 1 binary64) e)) v)))
cost-diff	0	(neg.f64 e)
cost-diff	448	(.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ ( (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 #s(literal 1 binary64) e)) v))))
cost-diff	0	#s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v)
cost-diff	0	#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))
cost-diff	0	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v)))
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) e) v)
cost-diff	0	(.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)
cost-diff	0	#s(approx (* (/ e (+ e 1)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
cost-diff	0	(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
cost-diff	0	(/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)))

Rules

8 740×	`lower-fma.f32`
8 734×	`lower-fma.f64`
2 738×	`lower-*.f32`
2 724×	`lower-*.f64`
2 178×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	445
0	89	445
1	151	417
2	267	411
3	539	411
4	1578	411
5	3464	411
6	6433	411
0	8208	403

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

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

localize196.0ms (2.9%)

Memory

9.8MiB live, 288.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(.f64 #s(approx (+ ( (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e))
accuracy	0.1015625	(*.f64 (sin.f64 v) e)
accuracy	0.6981960656235323	#s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e))
accuracy	0.9282962450517105	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
accuracy	0.18359375	(/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 #s(literal 1 binary64) e)) v)))
accuracy	0.37109375	(*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v)
accuracy	12.80279253041659	(/.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 #s(literal 1 binary64) e)) v)
accuracy	29.501801504944424	#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 #s(literal 1 binary64) e)) v))
accuracy	0.16015625	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v)))
accuracy	1.4895738668933756	#s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy	12.80279253041659	(/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v)
accuracy	29.501801504944424	#s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 #s(literal 1/6 binary64) (*.f64 v v) #s(literal 1 binary64))) v))
accuracy	0.01171875	(*.f64 (-.f64 #s(literal 1 binary64) e) v)
accuracy	0.02734375	(.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)
accuracy	0.9770617189153751	#s(approx (* (/ e (+ e 1)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e))
accuracy	29.4323337096627	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
accuracy	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v))))
accuracy	0.00390625	(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
accuracy	0.23275375976844204	(/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v))
accuracy	0.760999858788611	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)))

Samples

160.0ms	254×	0	valid
2.0ms	1×	5	exit
1.0ms	1×	1	valid

Compiler

Compiled 283 to 53 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-mult: 35.0ms (31.5% of total)

ival-div: 27.0ms (24.3% of total)

ival-add: 18.0ms (16.2% of total)

ival-sub: 10.0ms (9% of total)

const: 7.0ms (6.3% of total)

ival-sin: 6.0ms (5.4% of total)

ival-cos: 5.0ms (4.5% of total)

adjust: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series66.0ms (1%)

Memory

-10.7MiB live, 147.0MiB allocated

Counts

23 → 528

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	v	@	0	((/ 1 (/ (- (cos v) (/ -1 e)) (sin v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (- (cos v) (/ -1 e)) (sin v)) (- (cos v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* (* (- 1 e) v) e) (* (- 1 e) v) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (* (neg e) (/ -1 (/ (+ (* (cos v) e) 1) (sin v)))) (neg e) (/ -1 (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (- 1 e) (/ (+ (* (* (+ (* e -1/3) 1/6) v) v) (+ 1 e)) v) (* (+ (* e -1/3) 1/6) v) (* (sin v) e))
6.0ms	v	@	-inf	((/ 1 (/ (- (cos v) (/ -1 e)) (sin v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (- (cos v) (/ -1 e)) (sin v)) (- (cos v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* (* (- 1 e) v) e) (* (- 1 e) v) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (* (neg e) (/ -1 (/ (+ (* (cos v) e) 1) (sin v)))) (neg e) (/ -1 (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (- 1 e) (/ (+ (* (* (+ (* e -1/3) 1/6) v) v) (+ 1 e)) v) (* (+ (* e -1/3) 1/6) v) (* (sin v) e))
5.0ms	v	@	inf	((/ 1 (/ (- (cos v) (/ -1 e)) (sin v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (- (cos v) (/ -1 e)) (sin v)) (- (cos v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* (* (- 1 e) v) e) (* (- 1 e) v) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (* (neg e) (/ -1 (/ (+ (* (cos v) e) 1) (sin v)))) (neg e) (/ -1 (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (- 1 e) (/ (+ (* (* (+ (* e -1/3) 1/6) v) v) (+ 1 e)) v) (* (+ (* e -1/3) 1/6) v) (* (sin v) e))
3.0ms	e	@	-inf	((/ 1 (/ (- (cos v) (/ -1 e)) (sin v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (- (cos v) (/ -1 e)) (sin v)) (- (cos v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* (* (- 1 e) v) e) (* (- 1 e) v) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (* (neg e) (/ -1 (/ (+ (* (cos v) e) 1) (sin v)))) (neg e) (/ -1 (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (- 1 e) (/ (+ (* (* (+ (* e -1/3) 1/6) v) v) (+ 1 e)) v) (* (+ (* e -1/3) 1/6) v) (* (sin v) e))
3.0ms	e	@	inf	((/ 1 (/ (- (cos v) (/ -1 e)) (sin v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (- (cos v) (/ -1 e)) (sin v)) (- (cos v) (/ -1 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* (* (- 1 e) v) e) (* (- 1 e) v) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (* (neg e) (/ -1 (/ (+ (* (cos v) e) 1) (sin v)))) (neg e) (/ -1 (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (- 1 e) (/ (+ (* (* (+ (* e -1/3) 1/6) v) v) (+ 1 e)) v) (* (+ (* e -1/3) 1/6) v) (* (sin v) e))

simplify206.0ms (3.1%)

Memory

37.0MiB live, 263.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 364×	`lower-fma.f64`
10 364×	`lower-fma.f32`
6 146×	`lower-*.f64`
6 146×	`lower-*.f32`
3 566×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	591	8368
1	1939	8009
2	6067	7935
0	8148	7487

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 525

Calls

Call 1

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

rewrite176.0ms (2.6%)

Memory

-10.5MiB live, 272.4MiB allocated

Rules

4 868×	`lower-/.f32`
4 854×	`lower-/.f64`
3 736×	`lower-*.f32`
3 722×	`lower-*.f64`
2 868×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	386
0	89	386
1	362	354
2	2745	354
0	8448	346

Stop Event

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

Counts

23 → 396

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (neg.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (sin.f64 v)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #s(literal -1 binary64)) (neg.f64 (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e) (pow.f64 e #s(literal -2 binary64)))))
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 v) #s(literal 1 binary64)) (pow.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64)) (pow.f64 (sin.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64)) (sin.f64 v))
(*.f64 (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #s(literal 1 binary64))
(*.f64 (sin.f64 v) (pow.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(pow.f64 (exp.f64 (log.f64 (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v))) (neg.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 (neg.f64 (pow.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 v)) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (neg.f64 (neg.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(/.f64 (pow.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))
(/.f64 (neg.f64 (sin.f64 v)) (neg.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (neg.f64 (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) (/.f64 (sin.f64 v) (neg.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v))) #s(literal -1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 v) (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e) (pow.f64 e #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 v) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(*.f64 (neg.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (pow.f64 (neg.f64 (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)) #s(literal 1 binary64))
(*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (/.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)))
(pow.f64 (/.f64 (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) (neg.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (pow.f64 (sin.f64 v) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e) (pow.f64 e #s(literal -2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal 1 binary64))) (neg.f64 (sin.f64 v)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 v) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 v) e)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 v) e)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 v) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 v) e)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (tan.f64 v) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 v) e)) #s(literal 2 binary64)) (.f64 (pow.f64 (tan.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 v) e)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 v)))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e) (pow.f64 e #s(literal -2 binary64)))) (sin.f64 v))))
(/.f64 (neg.f64 (-.f64 (.f64 (cos.f64 v) (sin.f64 v)) (.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e)))) (neg.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (tan.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 v) e)))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (cos.f64 v)) (neg.f64 (sin.f64 v))) (.f64 (neg.f64 (sin.f64 v)) (pow.f64 e #s(literal -1 binary64)))) (*.f64 (neg.f64 (sin.f64 v)) (neg.f64 (sin.f64 v))))
(/.f64 (-.f64 (.f64 (neg.f64 (cos.f64 v)) (sin.f64 v)) (.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) e))) (*.f64 (neg.f64 (sin.f64 v)) (sin.f64 v)))
(/.f64 (-.f64 (.f64 (neg.f64 (cos.f64 v)) (.f64 (sin.f64 v) e)) (.f64 (neg.f64 (sin.f64 v)) #s(literal -1 binary64))) (.f64 (neg.f64 (sin.f64 v)) (*.f64 (sin.f64 v) e)))
(/.f64 (-.f64 (.f64 (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e))) (.f64 (neg.f64 (sin.f64 v)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 (-.f64 (.f64 (neg.f64 (cos.f64 v)) (.f64 (neg.f64 (sin.f64 v)) e)) (.f64 (neg.f64 (sin.f64 v)) #s(literal 1 binary64))) (.f64 (neg.f64 (sin.f64 v)) (*.f64 (neg.f64 (sin.f64 v)) e)))
(/.f64 (-.f64 (.f64 (cos.f64 v) (neg.f64 (sin.f64 v))) (.f64 (sin.f64 v) (pow.f64 e #s(literal -1 binary64)))) (*.f64 (sin.f64 v) (neg.f64 (sin.f64 v))))
(/.f64 (-.f64 (.f64 (cos.f64 v) (.f64 (sin.f64 v) e)) (.f64 (sin.f64 v) #s(literal -1 binary64))) (.f64 (sin.f64 v) (*.f64 (sin.f64 v) e)))
(/.f64 (-.f64 (.f64 (cos.f64 v) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e))) (.f64 (sin.f64 v) #s(literal 1 binary64))) (*.f64 (sin.f64 v) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 (-.f64 (.f64 (cos.f64 v) (.f64 (neg.f64 (sin.f64 v)) e)) (.f64 (sin.f64 v) #s(literal 1 binary64))) (.f64 (sin.f64 v) (*.f64 (neg.f64 (sin.f64 v)) e)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 v))) (.f64 (tan.f64 v) (pow.f64 e #s(literal -1 binary64)))) (*.f64 (tan.f64 v) (neg.f64 (sin.f64 v))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (sin.f64 v)) (.f64 (tan.f64 v) (/.f64 #s(literal -1 binary64) e))) (*.f64 (tan.f64 v) (sin.f64 v)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) e)) (.f64 (tan.f64 v) #s(literal -1 binary64))) (.f64 (tan.f64 v) (*.f64 (sin.f64 v) e)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e))) (.f64 (tan.f64 v) #s(literal 1 binary64))) (*.f64 (tan.f64 v) (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) e))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sin.f64 v)) e)) (.f64 (tan.f64 v) #s(literal 1 binary64))) (.f64 (tan.f64 v) (*.f64 (neg.f64 (sin.f64 v)) e)))
(/.f64 (-.f64 (neg.f64 (cos.f64 v)) (pow.f64 e #s(literal -1 binary64))) (neg.f64 (sin.f64 v)))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (pow.f64 (sin.f64 v) #s(literal -1 binary64))) (+.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (pow.f64 (sin.f64 v) #s(literal -1 binary64))) (fma.f64 (cos.f64 v) (cos.f64 v) (fma.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e) (pow.f64 e #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #s(literal 1 binary64)) (sin.f64 v))
(/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 v) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 v) e)) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 v) e))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 v) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 v) e)) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (tan.f64 v) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 v) e)) #s(literal 2 binary64)) (.f64 (pow.f64 (tan.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 v) e))))))
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(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 (+.f64 e #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v)) (*.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) v)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 v #s(literal -1 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (fma.f64 e #s(literal -1 binary64) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 v #s(literal -1 binary64))) (fma.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 (+.f64 e #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v)) (.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))) #s(literal 1 binary64)) v)
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))))) (neg.f64 (neg.f64 v)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (.f64 v (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (fma.f64 e #s(literal -1 binary64) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (.f64 v (fma.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 (+.f64 e #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v)) (.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (fma.f64 e #s(literal -1 binary64) #s(literal -1 binary64))) v))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 (+.f64 e #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v)) (*.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) v))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 v (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (fma.f64 e #s(literal -1 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 v (fma.f64 (+.f64 e #s(literal 1 binary64)) (-.f64 (+.f64 e #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v)) (.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64)))) (neg.f64 v))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))) v)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 v (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 v (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64)))) v))
(neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))) (neg.f64 v)))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (.f64 v (fma.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (fma.f64 e #s(literal -1 binary64) #s(literal -1 binary64))))) (/.f64 (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 v (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (fma.f64 e #s(literal -1 binary64) #s(literal -1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 v)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))) (neg.f64 v)))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (fma.f64 e #s(literal -1 binary64) #s(literal -1 binary64)))) v) (/.f64 (/.f64 (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (fma.f64 e #s(literal -1 binary64) #s(literal -1 binary64)))) v))
(exp.f64 (.f64 (log.f64 (/.f64 v (fma.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v)
(*.f64 v (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 e e) #s(literal -1/36 binary64)) v)) (neg.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 e #s(literal 3 binary64)) #s(literal 1/216 binary64)) v)) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 e e) (-.f64 #s(literal 1/36 binary64) (*.f64 e #s(literal -1/18 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 e e)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)) #s(literal 2 binary64))) v)) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)) #s(literal 3 binary64))) v)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 e e) (.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) e))))))
(/.f64 (neg.f64 (.f64 v (fma.f64 #s(literal 1/9 binary64) (.f64 e e) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 v (fma.f64 #s(literal -1/27 binary64) (pow.f64 e #s(literal 3 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 e e) (-.f64 #s(literal 1/36 binary64) (*.f64 e #s(literal -1/18 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 e e) #s(literal -1/36 binary64)) v) (fma.f64 #s(literal -1/3 binary64) e #s(literal -1/6 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 e #s(literal 3 binary64)) #s(literal 1/216 binary64)) v) (fma.f64 #s(literal 1/9 binary64) (.f64 e e) (-.f64 #s(literal 1/36 binary64) (*.f64 e #s(literal -1/18 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 e e)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)) #s(literal 2 binary64))) v) (-.f64 (.f64 #s(literal -1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)) #s(literal 3 binary64))) v) (fma.f64 #s(literal 1/4 binary64) (.f64 e e) (.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)) (.f64 #s(literal -1/2 binary64) e)))))
(/.f64 (.f64 v (fma.f64 #s(literal 1/9 binary64) (.f64 e e) #s(literal -1/36 binary64))) (fma.f64 #s(literal -1/3 binary64) e #s(literal -1/6 binary64)))
(/.f64 (.f64 v (fma.f64 #s(literal -1/27 binary64) (pow.f64 e #s(literal 3 binary64)) #s(literal 1/216 binary64))) (fma.f64 #s(literal 1/9 binary64) (.f64 e e) (-.f64 #s(literal 1/36 binary64) (*.f64 e #s(literal -1/18 binary64)))))
(fma.f64 (.f64 #s(literal -1/3 binary64) e) v (.f64 #s(literal 1/6 binary64) v))
(fma.f64 #s(literal 1/6 binary64) v (.f64 (.f64 #s(literal -1/3 binary64) e) v))
(fma.f64 #s(literal 1/6 binary64) v (.f64 v (.f64 #s(literal -1/3 binary64) e)))
(fma.f64 v (.f64 #s(literal -1/3 binary64) e) (.f64 #s(literal 1/6 binary64) v))
(fma.f64 v #s(literal 1/6 binary64) (.f64 (.f64 #s(literal -1/3 binary64) e) v))
(fma.f64 v #s(literal 1/6 binary64) (.f64 v (.f64 #s(literal -1/3 binary64) e)))
(+.f64 (.f64 (.f64 #s(literal -1/3 binary64) e) v) (*.f64 #s(literal 1/6 binary64) v))
(+.f64 (.f64 v (.f64 #s(literal -1/3 binary64) e)) (*.f64 #s(literal 1/6 binary64) v))
(+.f64 (.f64 #s(literal 1/6 binary64) v) (.f64 (*.f64 #s(literal -1/3 binary64) e) v))
(+.f64 (.f64 #s(literal 1/6 binary64) v) (.f64 v (*.f64 #s(literal -1/3 binary64) e)))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))

eval122.0ms (1.8%)

Memory: -6.2MiB live, 303.2MiB allocated
Compiler: Compiled 19 307 to 2 582 computations (86.6% saved)

prune62.0ms (0.9%)

Memory

12.8MiB live, 169.3MiB allocated

Pruning

40 alts after pruning (32 fresh and 8 done)

	Pruned	Kept	Total
New	949	19	968
Fresh	8	13	21
Picked	3	2	5
Done	0	6	6
Total	960	40	1 000

Accuracy

100.0%

Counts

1 000 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.6%	(/.f64 (.f64 (neg.f64 (.f64 e e)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) e)
	96.9%	(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
	72.2%	(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #s(literal -1 binary64))))
	54.3%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 #s(approx (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (.f64 #s(literal -1/3 binary64) e)) (.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
	53.5%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
	53.6%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (+.f64 (fma.f64 (fma.f64 (.f64 v (/.f64 v e)) #s(literal 1/6 binary64) (.f64 (*.f64 #s(literal -1/3 binary64) v) v)) e #s(literal 1 binary64)) e)) v)))
	5.7%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) v) v #s(literal 1 binary64)) e)) v)))
	5.7%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 v v) #s(literal -1 binary64)) (neg.f64 e))) v)))
	53.4%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 v #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)))))))
	5.0%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) v) (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v))))
	52.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 #s(approx (+ (* (+ (* -1/2 e) (+ (* 1/6 e) 1/6)) (* v v)) (+ 1 e)) (fma.f64 (*.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64))) v)) e))
	48.0%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 e e)) (+.f64 #s(literal 0 binary64) e)) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 #s(literal 1 binary64) e)) v))))
	98.5%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
✓	99.8%	(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
	54.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ ( (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal -1/3 binary64) #s(literal 1/6 binary64)) v) v (+.f64 #s(literal 1 binary64) e)) v))))
	54.7%	(.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ ( (cos v) e) 1) (sin v)) (/.f64 (fma.f64 #s(approx (* (+ (* e -1/3) 1/6) v) (.f64 (fma.f64 (/.f64 v e) #s(literal 1/6 binary64) (.f64 #s(literal -1/3 binary64) v)) e)) v (+.f64 #s(literal 1 binary64) e)) v))))
	54.3%	(.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ ( (cos v) e) 1) (sin v)) (/.f64 (fma.f64 #s(approx (* (+ (* e -1/3) 1/6) v) (.f64 (.f64 #s(literal -1/3 binary64) v) e)) v (+.f64 #s(literal 1 binary64) e)) v))))
	54.7%	(.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ ( (cos v) e) 1) (sin v)) (/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) (*.f64 v v) e) #s(literal 1 binary64)) v))))
	54.7%	(.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ ( (cos v) e) 1) (sin v)) (/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v) v (+.f64 e #s(literal 1 binary64))))))))
	5.0%	(.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ ( (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (* (+ (* e -1/3) 1/6) v) v) (+ 1 e)) v) (*.f64 (fma.f64 #s(literal -1/3 binary64) e #s(literal 1/6 binary64)) v)))))
	5.7%	(.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ ( (cos v) e) 1) (sin v)) #s(approx (/ (+ (* (* (+ (* e -1/3) 1/6) v) v) (+ 1 e)) v) (.f64 (neg.f64 e) (/.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 v v) #s(literal -1 binary64)) v))))))
✓	98.1%	(.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) (sin.f64 v))
✓	99.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
	96.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))))
	95.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) (sin.f64 v))))
	72.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
	98.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
	96.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- (cos v) (/ -1 e)) (sin v)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) e)))))
✓	98.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))
✓	53.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
	97.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
	52.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
✓	97.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
	52.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) #s(approx (* (sin v) e) (.f64 (fma.f64 (.f64 (*.f64 e v) v) #s(literal -1/6 binary64) e) v))))
	52.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) #s(approx (* (sin v) e) (*.f64 e v))))
	52.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (fma.f64 v #s(literal 1 binary64) (.f64 v (neg.f64 e))) e)))
✓	52.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
	31.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (.f64 #s(approx (- 1 e) (neg.f64 e)) v) e)))
✓	52.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
	52.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (.f64 v e) (fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)))))

Compiler

Compiled 1 419 to 737 computations (48.1% saved)

regimes72.0ms (1.1%)

Memory

1.9MiB live, 166.4MiB allocated

Counts

62 → 1

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	v
18.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
17.0ms	e

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes47.0ms (0.7%)

Memory

-0.8MiB live, 118.7MiB allocated

Counts

51 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes39.0ms (0.6%)

Memory

14.4MiB live, 92.4MiB allocated

Counts

42 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.6%	1	`v`
97.6%	1	`e`
97.6%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes40.0ms (0.6%)

Memory

-14.5MiB live, 66.0MiB allocated

Counts

41 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	e
12.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
12.0ms	v

Results

Accuracy	Segments	Branch
97.0%	1	`e`
97.0%	1	`v`
97.0%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes55.0ms (0.8%)

Memory

1.6MiB live, 77.6MiB allocated

Counts

40 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

28.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
14.0ms	e
11.0ms	v

Results

Accuracy	Segments	Branch
54.7%	1	`e`
54.7%	1	`v`
54.7%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes33.0ms (0.5%)

Memory

-15.8MiB live, 61.7MiB allocated

Counts

29 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

13.0ms	v
8.0ms	e
8.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
54.7%	1	`e`
54.7%	1	`v`
54.7%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes27.0ms (0.4%)

Memory

27.3MiB live, 65.9MiB allocated

Counts

28 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.3%	1	`e`
54.3%	1	`v`
54.3%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes46.0ms (0.7%)

Memory

-34.8MiB live, 59.6MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
9.0ms	e
8.0ms	v

Results

Accuracy	Segments	Branch
54.3%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
54.3%	1	`v`
54.3%	1	`e`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes23.0ms (0.3%)

Memory

5.5MiB live, 44.4MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.6%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
53.6%	1	`e`
53.6%	1	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes9.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
52.7%	1	`v`
52.7%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
52.7%	1	`e`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes8.0ms (0.1%)

Memory

-22.1MiB live, 17.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
52.7%	1	`v`
52.7%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
52.7%	1	`e`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
52.7%	1	`v`
52.7%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
52.7%	1	`e`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Accuracy

Total -14.3b remaining (-46.9%)

Threshold costs -14.3b (-46.9%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

simplify28.0ms (0.4%)

Memory

-20.9MiB live, 59.7MiB allocated

Algorithm

1×	egg-herbie

Rules

50×	`-commutative-binary64-.f64`
22×	`+-commutative-binary64-+.f64`
18×	`sub-neg-binary64-neg.f64-+.f64--.f64`
16×	`neg-sub0-binary64--.f64-neg.f64`
16×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	320
1	121	320
2	136	320
3	156	320
4	168	320
5	175	320
6	178	320

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.3s (19.6%)

Memory

47.3MiB live, 1 304.7MiB allocated

Rules

17 764×	`lower-fma.f64`
17 764×	`lower-fma.f32`
11 624×	`lower-fma.f64`
11 624×	`lower-fma.f32`
10 364×	`lower-fma.f64`

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
0	591	8368
1	1939	8009
2	6067	7935
0	8148	7487
0	45	261
0	71	255
1	287	245
2	2092	245
0	8845	229
0	28	153
0	46	148
1	161	148
2	947	146
0	9240	146
0	514	6846
1	1579	6617
2	4551	6524
0	8154	6184
0	438	5709
1	1389	5545
2	4253	5431
0	8491	5121
0	195	1209
1	584	1194
2	1652	1162
3	4899	1089
0	8542	1013

Stop Event

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

Compiler

Compiled 542 to 301 computations (44.5% saved)

preprocess95.0ms (1.4%)

Memory: -20.0MiB live, 214.2MiB allocated
Remove: (negabs v)
Compiler: Compiled 458 to 266 computations (41.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze7.0ms (0.1%)

sample1.3s (19.3%)

explain111.0ms (1.6%)

preprocess74.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize37.0ms (0.5%)

series14.0ms (0.2%)

simplify184.0ms (2.7%)

rewrite168.0ms (2.5%)

eval90.0ms (1.3%)

prune15.0ms (0.2%)

simplify160.0ms (2.4%)

localize83.0ms (1.2%)

series37.0ms (0.6%)

simplify178.0ms (2.6%)

rewrite180.0ms (2.7%)

eval233.0ms (3.5%)

prune58.0ms (0.9%)

simplify189.0ms (2.8%)

localize160.0ms (2.4%)

series41.0ms (0.6%)

simplify198.0ms (2.9%)

rewrite180.0ms (2.7%)

eval169.0ms (2.5%)

prune51.0ms (0.8%)

simplify123.0ms (1.8%)

localize196.0ms (2.9%)

series66.0ms (1%)

simplify206.0ms (3.1%)

rewrite176.0ms (2.6%)

eval122.0ms (1.8%)

prune62.0ms (0.9%)

regimes72.0ms (1.1%)

regimes47.0ms (0.7%)

regimes39.0ms (0.6%)

regimes40.0ms (0.6%)

regimes55.0ms (0.8%)

regimes33.0ms (0.5%)

regimes27.0ms (0.4%)

regimes46.0ms (0.7%)

regimes23.0ms (0.3%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

simplify28.0ms (0.4%)

soundness1.3s (19.6%)

preprocess95.0ms (1.4%)

end0.0ms (0%)

Profiling