Metrics for Trigonometry A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze13.0ms (0.2%)

Memory

-13.9MiB live, 25.1MiB 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)

sample1.4s (22.9%)

Memory

52.0MiB live, 3 169.6MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 841.0ms

ival-sin: 273.0ms (32.5% of total)

ival-cos: 206.0ms (24.5% of total)

ival-mult: 143.0ms (17% of total)

ival-div: 89.0ms (10.6% of total)

ival-<=: 53.0ms (6.3% of total)

ival-add: 46.0ms (5.5% of total)

exact: 13.0ms (1.5% of total)

ival-and: 12.0ms (1.4% of total)

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

Bogosity

explain127.0ms (2%)

Memory

20.2MiB live, 251.6MiB 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

56.0ms

512×

valid

Compiler

Compiled 79 to 31 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-sin: 14.0ms (35.3% of total)

ival-cos: 11.0ms (27.7% of total)

ival-mult: 8.0ms (20.2% of total)

ival-div: 3.0ms (7.6% of total)

ival-add: 3.0ms (7.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess78.0ms (1.3%)

Memory

-18.1MiB live, 31.0MiB allocated

Algorithm

1×	egg-herbie

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify3.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB 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)))

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)

localize36.0ms (0.6%)

Memory

-4.1MiB live, 72.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 v)
accuracy	0.00390625	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
accuracy	0.11328125	(*.f64 e (sin.f64 v))
accuracy	0.1328125	(*.f64 e (cos.f64 v))

Samples

29.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-cos: 6.0ms (28.5% of total)

ival-sin: 6.0ms (28.5% of total)

ival-mult: 4.0ms (19% of total)

ival-div: 3.0ms (14.3% of total)

ival-add: 1.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Memory

-6.9MiB live, 30.9MiB allocated

Counts

6 → 120

Calls

Call 1

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

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

Calls

6 calls:

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

simplify190.0ms (3%)

Memory

34.9MiB live, 300.6MiB allocated

Algorithm

1×	egg-herbie

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))
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(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
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(* e (cos v))
(*.f64 (cos.f64 v) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)

rewrite185.0ms (3%)

Memory

2.5MiB live, 318.7MiB allocated

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
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eval59.0ms (1%)

Memory: 0.9MiB live, 156.0MiB allocated
Compiler: Compiled 12 335 to 1 300 computations (89.5% saved)

prune16.0ms (0.3%)

Memory

21.0MiB live, 59.9MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

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

Accuracy

100.0%

Counts

466 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.1%	(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))
▶	54.1%	(/.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))))
	99.6%	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
	98.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)))
▶	98.4%	(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e)))
	99.7%	(*.f64 (pow.f64 (pow.f64 e #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
▶	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
▶	99.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
	98.7%	#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)))
▶	54.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
	97.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))

Compiler

Compiled 262 to 208 computations (20.6% saved)

simplify135.0ms (2.2%)

Memory

3.6MiB live, 160.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	270
0	65	264
1	113	264
2	214	264
3	582	259
4	1688	254
5	3523	254
6	5049	254
7	6357	254
8	7683	254
0	8302	251

Stop Event

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

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 v)
v
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
e
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#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 #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))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) e)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
#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))
#s(approx (* e (sin v)) (.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) e))
(.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 (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) v) e)
(.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)))
(.f64 (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e)
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))
(fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))
(fma.f64 (*.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 v v)
v
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(*.f64 e (cos.f64 v))
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.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
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e)))
(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
#s(literal -1 binary64)
(/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) e) (cos.f64 v)) (sin.f64 v))
(-.f64 #s(literal -1 binary64) (*.f64 (cos.f64 v) e))
(-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) e)
(*.f64 e (cos.f64 v))
(cos.f64 v)
v
e
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(sin.f64 v)

localize162.0ms (2.6%)

Memory

-34.5MiB live, 291.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(*.f64 (sin.f64 v) e)
accuracy	0.1328125	(*.f64 (cos.f64 v) e)
accuracy	0.205410009768442	(/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
accuracy	1.0258162815847949	(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.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	0.0078125	(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
accuracy	0.2109375	(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
accuracy	0.06640625	(fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64))
accuracy	0.1328125	(*.f64 e (cos.f64 v))
accuracy	2.6382428471952983	(.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)))
accuracy	29.390792691163355	#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))
accuracy	0	(+.f64 e #s(literal 1 binary64))
accuracy	0	(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
accuracy	0.01171875	(/.f64 e (+.f64 e #s(literal 1 binary64)))
accuracy	29.191635013430332	#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	0.01171875	(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy	0.1171875	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)

Samples

135.0ms

256×

valid

Compiler

Compiled 232 to 35 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-mult: 57.0ms (49.7% of total)

ival-div: 22.0ms (19.2% of total)

ival-add: 11.0ms (9.6% of total)

ival-sin: 9.0ms (7.8% of total)

const: 7.0ms (6.1% of total)

ival-cos: 5.0ms (4.4% of total)

ival-sub: 2.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series48.0ms (0.8%)

Memory

16.2MiB live, 95.7MiB allocated

Counts

23 → 492

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	v	@	-inf	((/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* e (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (cos v) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (* e (cos v)) (+ (* 1/120 (* v v)) -1/6) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (* (sin v) e))
7.0ms	v	@	0	((/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* e (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (cos v) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (* e (cos v)) (+ (* 1/120 (* v v)) -1/6) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (* (sin v) e))
4.0ms	v	@	inf	((/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* e (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (cos v) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (* e (cos v)) (+ (* 1/120 (* v v)) -1/6) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (* (sin v) e))
4.0ms	e	@	-inf	((/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* e (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (cos v) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (* e (cos v)) (+ (* 1/120 (* v v)) -1/6) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (* (sin v) e))
4.0ms	e	@	inf	((/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* e (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (cos v) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (* e (cos v)) (+ (* 1/120 (* v v)) -1/6) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (* (sin v) e))

simplify163.0ms (2.6%)

Memory

0.8MiB live, 278.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	464	7012
1	1479	6813
2	4257	6541
0	8096	6203

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 483

Calls

Call 1

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

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

rewrite154.0ms (2.5%)

Memory

-7.2MiB live, 308.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	211
0	65	210
1	255	204
2	1667	204
0	8573	204

Stop Event

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

Counts

23 → 837

Calls

Call 1

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

Outputs
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eval193.0ms (3.1%)

Memory: 26.6MiB live, 499.1MiB allocated
Compiler: Compiled 31 613 to 3 396 computations (89.3% saved)

prune54.0ms (0.9%)

Memory

-19.4MiB live, 179.5MiB allocated

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	1 374	23	1 397
Fresh	3	3	6
Picked	3	2	5
Done	0	0	0
Total	1 380	28	1 408

Accuracy

100.0%

Counts

1 408 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.1%	(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))
▶	53.9%	(/.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 #s(approx (cos v) (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))))))
	53.7%	(/.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)) #s(approx (+ 1 (* e (cos v))) (fma.f64 e (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))))
	53.0%	(/.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)) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
▶	99.6%	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
	72.4%	(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e) (.f64 e (/.f64 (.f64 e (cos.f64 v)) (sin.f64 v)))) (.f64 e e)))
	67.6%	(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 e) (.f64 (.f64 e (sin.f64 v)) (/.f64 (.f64 e (cos.f64 v)) (sin.f64 v)))) (.f64 (*.f64 e (sin.f64 v)) e)))
	96.5%	(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)))
	54.4%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (fma.f64 (.f64 (+.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))) #s(literal -1/24 binary64)) v) v (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
	54.5%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
	53.2%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
	97.9%	(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)
	72.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (/.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))))))
	32.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (*.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (cos.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (/.f64 (cos.f64 v) e)))))))
	97.8%	#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))))
	54.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
	53.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
	98.3%	#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))))
▶	53.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
	98.7%	#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)))
	54.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (-.f64 e #s(literal 1 binary64))))
✓	54.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
▶	99.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
	2.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
	2.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
	53.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 e v)) e)))
▶	53.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v)))

Compiler

Compiled 818 to 599 computations (26.8% saved)

simplify107.0ms (1.7%)

Memory

-3.7MiB live, 153.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 v)
cost-diff	0	(fma.f64 (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	(.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)))
cost-diff	0	#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))
cost-diff	0	(/.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 #s(approx (cos v) (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))))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 e #s(approx (cos v) (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)))))
cost-diff	0	(*.f64 e v)
cost-diff	0	(+.f64 #s(literal 1 binary64) e)
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))
cost-diff	0	(*.f64 e v)
cost-diff	0	#s(approx (* (/ e (+ e 1)) v) (*.f64 e v))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v)))
cost-diff	0	(sin.f64 v)
cost-diff	0	(neg.f64 (sin.f64 v))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
cost-diff	448	(*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	394
0	81	391
1	142	389
2	250	381
3	628	378
4	1620	378
5	2721	378
6	4035	378
7	6112	378
0	8151	373

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

localize143.0ms (2.3%)

Memory

12.0MiB live, 334.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 v)
accuracy	0	(cos.f64 v)
accuracy	0.10546875	(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))
accuracy	0.203125	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
accuracy	0.2803705091415519	(fma.f64 #s(literal -1/720 binary64) (*.f64 v v) #s(literal 1/24 binary64))
accuracy	2.6382428471952983	(.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)))
accuracy	29.37329058329864	#s(approx (cos v) (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)))
accuracy	29.390792691163355	#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))
accuracy	0	(*.f64 e v)
accuracy	0.205410009768442	(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))
accuracy	1.025826378512403	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))
accuracy	29.191635013430332	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
accuracy	0	(*.f64 e v)
accuracy	1.232079088899517	#s(approx (* (/ e (+ e 1)) v) (*.f64 e v))
accuracy	29.191635013430332	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v)))
accuracy	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))))
accuracy	0.0078125	(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
accuracy	0.10546875	(*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
accuracy	0.20703125	(/.f64 #s(literal -1 binary64) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))

Samples

112.0ms

256×

valid

Compiler

Compiled 273 to 46 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 33.0ms (36.8% of total)

ival-div: 14.0ms (15.6% of total)

const: 14.0ms (15.6% of total)

ival-add: 13.0ms (14.5% of total)

ival-sin: 7.0ms (7.8% of total)

ival-cos: 5.0ms (5.6% of total)

ival-sub: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series43.0ms (0.7%)

Memory

-14.3MiB live, 104.3MiB allocated

Counts

23 → 480

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	v	@	-inf	((* (neg (sin v)) (/ -1 (- (cos v) (/ -1 e)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (neg (sin v)) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* e v) (/ 1 (/ (+ 1 e) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 e) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* e (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ -1 (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ (+ 1 e) (* e v)) (cos v) (+ (* -1/720 (* v v)) 1/24))
4.0ms	v	@	inf	((* (neg (sin v)) (/ -1 (- (cos v) (/ -1 e)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (neg (sin v)) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* e v) (/ 1 (/ (+ 1 e) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 e) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* e (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ -1 (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ (+ 1 e) (* e v)) (cos v) (+ (* -1/720 (* v v)) 1/24))
3.0ms	e	@	-inf	((* (neg (sin v)) (/ -1 (- (cos v) (/ -1 e)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (neg (sin v)) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* e v) (/ 1 (/ (+ 1 e) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 e) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* e (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ -1 (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ (+ 1 e) (* e v)) (cos v) (+ (* -1/720 (* v v)) 1/24))
3.0ms	v	@	0	((* (neg (sin v)) (/ -1 (- (cos v) (/ -1 e)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (neg (sin v)) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* e v) (/ 1 (/ (+ 1 e) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 e) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* e (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ -1 (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ (+ 1 e) (* e v)) (cos v) (+ (* -1/720 (* v v)) 1/24))
3.0ms	e	@	inf	((* (neg (sin v)) (/ -1 (- (cos v) (/ -1 e)))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (neg (sin v)) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* e v) (/ 1 (/ (+ 1 e) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 e) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* e (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1)) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ -1 (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ (+ 1 e) (* e v)) (cos v) (+ (* -1/720 (* v v)) 1/24))

simplify173.0ms (2.8%)

Memory

48.5MiB live, 317.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	444	6701
1	1321	6561
2	3623	6465
0	8535	6106

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 472

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

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

rewrite189.0ms (3%)

Memory

-11.3MiB live, 354.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	282
0	81	279
1	337	273
2	2319	273
0	8109	271

Stop Event

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

Counts

23 → 603

Calls

Call 1

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

Outputs
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eval147.0ms (2.4%)

Memory: -10.5MiB live, 374.7MiB allocated
Compiler: Compiled 25 303 to 2 949 computations (88.3% saved)

prune76.0ms (1.2%)

Memory

18.9MiB live, 228.8MiB allocated

Pruning

37 alts after pruning (34 fresh and 3 done)

	Pruned	Kept	Total
New	1 108	18	1 126
Fresh	5	16	21
Picked	4	1	5
Done	0	2	2
Total	1 117	37	1 154

Accuracy

100.0%

Counts

1 154 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.1%	(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))
	53.9%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) v) v) e e) v)) (+.f64 #s(literal 1 binary64) (.f64 e #s(approx (cos v) (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))))))
	54.4%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 e v) v) #s(literal -1/6 binary64) e) v)) (+.f64 #s(literal 1 binary64) (.f64 e #s(approx (cos v) (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))))))
	53.9%	(/.f64 #s(approx (* e (sin v)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)))
▶	53.9%	(/.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 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) v) v #s(literal 1/24 binary64)) (.f64 v v) #s(literal -1/2 binary64)) (.f64 v v) #s(literal 1 binary64))))))
	53.8%	(/.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)) #s(approx (+ 1 (* e (cos v))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 e v) v) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) e)) v) v (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) (+.f64 e #s(literal 1 binary64)))))
	53.0%	(/.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)) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
	55.4%	(/.f64 #s(approx (* e (sin v)) (.f64 e v)) (+.f64 #s(literal 1 binary64) (.f64 e #s(approx (cos v) (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))))))
	97.8%	(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
	55.6%	(/.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 e #s(literal 1 binary64))) v)))
	55.6%	(/.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 e #s(literal 1 binary64))) v)))
	54.3%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
	72.4%	(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e) (.f64 e (/.f64 (.f64 e (cos.f64 v)) (sin.f64 v)))) (.f64 e e)))
	67.6%	(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 e) (.f64 (.f64 e (sin.f64 v)) (/.f64 (.f64 e (cos.f64 v)) (sin.f64 v)))) (.f64 (*.f64 e (sin.f64 v)) e)))
▶	96.5%	(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)))
	54.4%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (fma.f64 (.f64 (+.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64))) #s(literal -1/24 binary64)) v) v (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 v v) (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
	54.5%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
▶	53.2%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
	97.9%	(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)
	32.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (*.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (cos.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (/.f64 (cos.f64 v) e)))))))
	97.8%	#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))))
	54.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
	98.3%	#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))))
	52.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v))))
	53.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (+.f64 #s(literal 1 binary64) e) (neg.f64 e)))))
	52.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))))
▶	98.7%	#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)))
	54.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (-.f64 e #s(literal 1 binary64))))
✓	54.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
	97.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))))
	72.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (sin.f64 v)) (.f64 (/.f64 #s(literal -1 binary64) (-.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)))))
	98.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (sin.f64 v)) #s(approx (/ -1 (- (cos v) (/ -1 e))) (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e))))
	2.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
	2.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (-.f64 v (/.f64 v e))))
▶	53.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
✓	53.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v)))

Compiler

Compiled 1 287 to 894 computations (30.5% saved)

simplify124.0ms (2%)

Memory

-3.2MiB live, 194.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 v)
cost-diff	0	(*.f64 (sin.f64 v) e)
cost-diff	0	#s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64))
cost-diff	960	(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)))
cost-diff	0	(.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)))
cost-diff	0	#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))
cost-diff	0	(/.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 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) v) v #s(literal 1/24 binary64)) (.f64 v v) #s(literal -1/2 binary64)) (.f64 v v) #s(literal 1 binary64))))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 e #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) v) v #s(literal 1/24 binary64)) (.f64 v v) #s(literal -1/2 binary64)) (.f64 v v) #s(literal 1 binary64)))))
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 (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)))
cost-diff	0	(fma.f64 (neg.f64 v) e v)
cost-diff	0	(*.f64 (fma.f64 (neg.f64 v) e v) e)
cost-diff	0	#s(approx (/ 1 (/ (+ 1 e) (* e v))) (*.f64 (fma.f64 (neg.f64 v) e v) e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	437
0	92	437
1	174	437
2	342	432
3	997	425
4	2789	425
5	5171	425
6	6545	425
0	8308	418

Stop Event

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

Calls

Call 1

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

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

localize154.0ms (2.5%)

Memory

-1.0MiB live, 354.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(*.f64 (sin.f64 v) e)
accuracy	0.205410009768442	(/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e))
accuracy	1.0258162815847949	(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)))
accuracy	1.2091646844080912	#s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64))
accuracy	0.23828125	(*.f64 #s(literal -1/720 binary64) v)
accuracy	2.6382428471952983	(.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)))
accuracy	29.37329058329864	#s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) v) v #s(literal 1/24 binary64)) (.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64)))
accuracy	29.390792691163355	#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))
accuracy	0.0234375	(/.f64 (-.f64 #s(literal -1 binary64) e) v)
accuracy	0.203125	(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)
accuracy	1.0258162815847949	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)))
accuracy	29.330037811055576	#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e))
accuracy	0	(neg.f64 v)
accuracy	0.015625	(*.f64 (fma.f64 (neg.f64 v) e v) e)
accuracy	0.755471755278978	#s(approx (/ 1 (/ (+ 1 e) (* e v))) (*.f64 (fma.f64 (neg.f64 v) e v) e))
accuracy	29.191635013430332	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
accuracy	0	(cos.f64 v)
accuracy	0.01171875	(.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))
accuracy	0.11328125	(*.f64 (sin.f64 v) e)
accuracy	0.7145419324742924	#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)))

Samples

115.0ms

256×

valid

Compiler

Compiled 296 to 51 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 35.0ms (39.1% of total)

const: 12.0ms (13.4% of total)

ival-div: 11.0ms (12.3% of total)

ival-add: 11.0ms (12.3% of total)

ival-sin: 7.0ms (7.8% of total)

ival-cos: 6.0ms (6.7% of total)

ival-sub: 3.0ms (3.4% of total)

ival-neg: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series54.0ms (0.9%)

Memory

17.2MiB live, 135.5MiB allocated

Counts

25 → 528

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	v	@	inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ 1 (/ (+ 1 e) (* e v))) (* (+ (* (neg v) e) v) e) (+ (* (neg v) e) v) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (/ (- -1 e) v) e) (/ (- -1 e) v) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* e (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (sin v) e) (sin v) (cos v) (neg v) (cos v) (* -1/720 v) (/ (- -1 (* (cos v) e)) (* (sin v) e)))
4.0ms	e	@	0	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ 1 (/ (+ 1 e) (* e v))) (* (+ (* (neg v) e) v) e) (+ (* (neg v) e) v) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (/ (- -1 e) v) e) (/ (- -1 e) v) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* e (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (sin v) e) (sin v) (cos v) (neg v) (cos v) (* -1/720 v) (/ (- -1 (* (cos v) e)) (* (sin v) e)))
4.0ms	v	@	0	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ 1 (/ (+ 1 e) (* e v))) (* (+ (* (neg v) e) v) e) (+ (* (neg v) e) v) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (/ (- -1 e) v) e) (/ (- -1 e) v) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* e (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (sin v) e) (sin v) (cos v) (neg v) (cos v) (* -1/720 v) (/ (- -1 (* (cos v) e)) (* (sin v) e)))
4.0ms	e	@	-inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ 1 (/ (+ 1 e) (* e v))) (* (+ (* (neg v) e) v) e) (+ (* (neg v) e) v) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (/ (- -1 e) v) e) (/ (- -1 e) v) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* e (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (sin v) e) (sin v) (cos v) (neg v) (cos v) (* -1/720 v) (/ (- -1 (* (cos v) e)) (* (sin v) e)))
4.0ms	v	@	-inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ 1 (/ (+ 1 e) (* e v))) (* (+ (* (neg v) e) v) e) (+ (* (neg v) e) v) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (/ (- -1 e) v) e) (/ (- -1 e) v) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (* e (+ (* (+ (* 1/120 (* v v)) -1/6) (* v v)) 1)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (sin v) e) (sin v) (cos v) (neg v) (cos v) (* -1/720 v) (/ (- -1 (* (cos v) e)) (* (sin v) e)))

simplify209.0ms (3.4%)

Memory

-3.6MiB live, 349.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	405	6743
1	1350	6424
2	4054	6224
0	8801	5937

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 523

Calls

Call 1

Inputs
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* e (* v (+ 1 (* -1 e))))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(+ 1 (* -1 e))
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2)))))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
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(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* -1 (* e v))
(* e (+ (* -1 v) (/ v e)))
(* e (+ (* -1 v) (/ v e)))
(* e (+ (* -1 v) (/ v 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)))))
(* -1 (/ (cos v) (sin v)))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(/ -1 v)
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(* -1 (/ e v))
(* -1 (* e (+ (/ 1 v) (/ 1 (* e v)))))
(* -1 (* e (+ (/ 1 v) (/ 1 (* e v)))))
(* -1 (* e (+ (/ 1 v) (/ 1 (* e 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 (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(* -1 (* e (cos v)))
(* -1 (* e (+ (cos v) (/ 1 e))))
(* -1 (* e (+ (cos v) (/ 1 e))))
(* -1 (* e (+ (cos v) (/ 1 e))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* -1 (/ (cos v) (sin v)))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (cos v)))
(* -1 (* e (- (cos v) (/ 1 e))))
(* -1 (* e (- (cos v) (/ 1 e))))
(* -1 (* e (- (cos v) (/ 1 e))))
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* -1 (* e v))
(* -1 (* e (+ v (* -1 (/ v e)))))
(* -1 (* e (+ v (* -1 (/ v e)))))
(* -1 (* e (+ v (* -1 (/ v 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)))
(* -1 (/ (cos v) (sin v)))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(/ -1 v)
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(* -1 (/ e v))
(* -1 (* e (+ (/ 1 v) (/ 1 (* e v)))))
(* -1 (* e (+ (/ 1 v) (/ 1 (* e v)))))
(* -1 (* e (+ (/ 1 v) (/ 1 (* e 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 (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(* -1 (* e (cos v)))
(* -1 (* e (- (/ 1 e) (* -1 (cos v)))))
(* -1 (* e (- (/ 1 e) (* -1 (cos v)))))
(* -1 (* e (- (/ 1 e) (* -1 (cos v)))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* -1 (/ (cos v) (sin v)))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* 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))))
(fma.f64 (pow.f64 v #s(literal 3 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 (.f64 (.f64 #s(literal -1/24 binary64) e) 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))
(* 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 (.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)) #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 (.f64 (.f64 #s(literal -1/24 binary64) e) 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 (* -1 e))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 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)))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(.f64 (.f64 e (fma.f64 (fma.f64 (.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e))) v)
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(.f64 (fma.f64 (.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 e #s(literal 4/315 binary64))) (.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))))) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
(+ 1 (* -1 e))
(-.f64 #s(literal 1 binary64) e)
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2)))))
(fma.f64 e (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))))
(fma.f64 (.f64 (.f64 v v) e) (fma.f64 #s(literal -1/24 binary64) (*.f64 v v) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) e))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))))
(fma.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 e (fma.f64 (.f64 #s(literal 1/720 binary64) v) v #s(literal -1/24 binary64))) (fma.f64 e (fma.f64 (*.f64 #s(literal 1/2 binary64) v) v #s(literal -1 binary64)) #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 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 (.f64 (.f64 #s(literal -1/24 binary64) e) 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))
(* 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 (.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)) #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 (.f64 (.f64 #s(literal -1/24 binary64) e) 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 (* -1 e))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)
(* e (* v (+ 1 (* -1 e))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)
(* e (* v (+ 1 (* -1 e))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)
(* e (* v (+ 1 (* -1 e))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)
(* v (+ 1 (* -1 e)))
(*.f64 (-.f64 #s(literal 1 binary64) e) v)
(* v (+ 1 (* -1 e)))
(*.f64 (-.f64 #s(literal 1 binary64) e) v)
(* v (+ 1 (* -1 e)))
(*.f64 (-.f64 #s(literal 1 binary64) e) v)
(* v (+ 1 (* -1 e)))
(*.f64 (-.f64 #s(literal 1 binary64) e) v)
(/ (* e v) (+ 1 e))
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(* e (sin v))
(*.f64 (sin.f64 v) e)
(* -1 (/ (cos v) (sin v)))
(/.f64 (neg.f64 (cos.f64 v)) (sin.f64 v))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(/.f64 (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e) (sin.f64 v))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(/.f64 (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e) (sin.f64 v))
(- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))
(/.f64 (/.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64)) e) (sin.f64 v))

rewrite205.0ms (3.3%)

Memory

25.4MiB live, 328.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	320
0	92	320
1	383	315
2	2646	315
0	8936	303

Stop Event

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

Counts

25 → 543

Calls

Call 1

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

Outputs
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eval157.0ms (2.5%)

Memory: 21.6MiB live, 390.0MiB allocated
Compiler: Compiled 23 436 to 2 701 computations (88.5% saved)

prune102.0ms (1.6%)

Memory

-28.7MiB live, 226.5MiB allocated

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	1 091	13	1 104
Fresh	14	15	29
Picked	2	3	5
Done	0	3	3
Total	1 107	34	1 141

Accuracy

100.0%

Counts

1 141 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.1%	(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))
	53.9%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) v) v) e e) v)) (+.f64 #s(literal 1 binary64) (.f64 e #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) v) v #s(literal 1/24 binary64)) (.f64 v v) #s(literal -1/2 binary64)) (.f64 v v) #s(literal 1 binary64))))))
	54.4%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 e v) v) #s(literal -1/6 binary64) e) v)) (+.f64 #s(literal 1 binary64) (.f64 e #s(approx (cos v) (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))))))
	53.9%	(/.f64 #s(approx (* e (sin v)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) e) v)) (fma.f64 #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))) e #s(literal 1 binary64)))
	53.0%	(/.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)) #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)))
	55.4%	(/.f64 #s(approx (* e (sin v)) (.f64 v e)) (+.f64 #s(literal 1 binary64) (.f64 e #s(approx (cos v) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/720 binary64) v) v #s(literal 1/24 binary64)) (.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))))))
	97.8%	(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
	55.6%	(/.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 e #s(literal 1 binary64))) v)))
	54.3%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
	96.4%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) e) (sin.f64 v)))
	72.4%	(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) e) (.f64 e (/.f64 (.f64 e (cos.f64 v)) (sin.f64 v)))) (.f64 e e)))
✓	96.5%	(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)))
	51.9%	(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) #s(approx (* (sin v) e) (.f64 (fma.f64 (.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))))
	52.2%	(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) #s(approx (* (sin v) e) (*.f64 v e))))
	54.5%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
	52.1%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (/ (- -1 e) v) (/.f64 #s(literal -1 binary64) v)) e)))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
	97.9%	(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)
	32.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (*.f64 (+.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (cos.f64 v) (-.f64 (pow.f64 e #s(literal -2 binary64)) (/.f64 (cos.f64 v) e)))))))
	97.8%	#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))))
	54.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
✓	98.7%	#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)))
	54.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (-.f64 e #s(literal 1 binary64))))
✓	54.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
	98.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 e (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))) (sin.f64 v)))
	97.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))))
✓	53.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
	53.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (.f64 #s(approx (+ ( (neg v) e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
	32.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (.f64 #s(approx (+ ( (neg v) e) v) (*.f64 (neg.f64 v) e)) e)))
	46.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) #s(approx (* (+ (* (neg v) e) v) e) (.f64 (-.f64 (/.f64 v e) v) (.f64 e e)))))
✓	53.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v)))
	53.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (.f64 e (fma.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (.f64 e #s(literal 4/315 binary64))) (.f64 v v) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64))))) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
	71.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
	53.5%	#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 1 645 to 723 computations (56% saved)

regimes58.0ms (0.9%)

Memory

5.9MiB live, 161.6MiB allocated

Counts

66 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes46.0ms (0.7%)

Memory

17.2MiB live, 134.7MiB allocated

Counts

50 → 1

Calls

Call 1

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

Outputs
#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)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`e`
98.7%	1	`v`
98.7%	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)

regimes52.0ms (0.8%)

Memory

-25.7MiB live, 179.9MiB allocated

Counts

49 → 1

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	e
15.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
14.0ms	v

Results

Accuracy	Segments	Branch
98.7%	1	`e`
98.7%	1	`v`
98.7%	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)

regimes43.0ms (0.7%)

Memory

7.9MiB live, 125.9MiB allocated

Counts

47 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.9%	1	`e`
97.9%	1	`v`
97.9%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes36.0ms (0.6%)

Memory

6.1MiB live, 83.3MiB allocated

Counts

39 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
55.6%	1	`v`
55.6%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
55.6%	1	`e`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes23.0ms (0.4%)

Memory

11.7MiB live, 50.3MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
54.4%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
54.4%	1	`e`
54.4%	1	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes11.0ms (0.2%)

Memory

-18.4MiB live, 22.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.7%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
53.7%	1	`e`
53.7%	1	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Accuracy

Total -14.1b remaining (-47.1%)

Threshold costs -14.1b (-47.1%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.3%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
53.3%	1	`e`
53.3%	1	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

simplify26.0ms (0.4%)

Memory

5.4MiB live, 83.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	178
1	78	178
2	96	178
3	108	178
4	114	178
5	116	178

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness854.0ms (13.7%)

Memory

-8.2MiB live, 899.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	464	7012
1	1479	6813
2	4257	6541
0	8096	6203
0	9	29
0	15	29
1	42	29
2	241	29
3	2097	29
0	8370	27
0	444	6701
1	1321	6561
2	3623	6465
0	8535	6106
0	39	211
0	65	210
1	255	204
2	1667	204
0	8573	204
0	195	1209
1	584	1194
2	1652	1162
3	4899	1089
0	8542	1013

Stop Event

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

Compiler

Compiled 218 to 135 computations (38.1% saved)

preprocess122.0ms (2%)

Memory: 5.2MiB live, 199.4MiB allocated
Remove: (negabs v)
Compiler: Compiled 304 to 196 computations (35.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze13.0ms (0.2%)

sample1.4s (22.9%)

explain127.0ms (2%)

preprocess78.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize36.0ms (0.6%)

series15.0ms (0.2%)

simplify190.0ms (3%)

rewrite185.0ms (3%)

eval59.0ms (1%)

prune16.0ms (0.3%)

simplify135.0ms (2.2%)

localize162.0ms (2.6%)

series48.0ms (0.8%)

simplify163.0ms (2.6%)

rewrite154.0ms (2.5%)

eval193.0ms (3.1%)

prune54.0ms (0.9%)

simplify107.0ms (1.7%)

localize143.0ms (2.3%)

series43.0ms (0.7%)

simplify173.0ms (2.8%)

rewrite189.0ms (3%)

eval147.0ms (2.4%)

prune76.0ms (1.2%)

simplify124.0ms (2%)

localize154.0ms (2.5%)

series54.0ms (0.9%)

simplify209.0ms (3.4%)

rewrite205.0ms (3.3%)

eval157.0ms (2.5%)

prune102.0ms (1.6%)

regimes58.0ms (0.9%)

regimes46.0ms (0.7%)

regimes52.0ms (0.8%)

regimes43.0ms (0.7%)

regimes36.0ms (0.6%)

regimes23.0ms (0.4%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

simplify26.0ms (0.4%)

soundness854.0ms (13.7%)

preprocess122.0ms (2%)

end0.0ms (0%)

Profiling