Metrics for Trigonometry A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.2%)

Memory

24.4MiB live, 24.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.5s (20.4%)

Memory

61.9MiB live, 2 640.7MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 938.0ms

ival-cos: 293.0ms (31.2% of total)

ival-sin: 219.0ms (23.3% of total)

ival-mult: 176.0ms (18.8% of total)

ival-div: 89.0ms (9.5% of total)

ival-<=: 53.0ms (5.6% of total)

ival-add: 48.0ms (5.1% of total)

ival-and: 44.0ms (4.7% of total)

exact: 13.0ms (1.4% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain139.0ms (1.9%)

Memory

5.6MiB live, 357.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

65.0ms

512×

valid

Compiler

Compiled 79 to 31 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-cos: 18.0ms (36.8% of total)

ival-sin: 13.0ms (26.6% of total)

ival-mult: 8.0ms (16.4% of total)

ival-add: 6.0ms (12.3% of total)

ival-div: 3.0ms (6.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess72.0ms (1%)

Memory

3.9MiB live, 42.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(*.f64 (/.f64 e (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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB 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%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize41.0ms (0.6%)

Memory

-21.0MiB live, 96.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 v)
accuracy	0.015625	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
accuracy	0.125	(*.f64 e (sin.f64 v))
accuracy	0.13671875	(*.f64 e (cos.f64 v))

Samples

34.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 7.0ms (32% of total)

ival-sin: 7.0ms (32% of total)

ival-cos: 5.0ms (22.8% of total)

ival-div: 2.0ms (9.1% of total)

ival-add: 1.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

2.6MiB live, 40.9MiB 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	@	inf	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
3.0ms	e	@	0	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (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	v	@	inf	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
2.0ms	e	@	-inf	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))

simplify208.0ms (2.9%)

Memory

-10.1MiB live, 286.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 118

Calls

Call 1

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

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

rewrite190.0ms (2.6%)

Memory

12.2MiB live, 321.1MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 347

Calls

Call 1

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

Outputs
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eval94.0ms (1.3%)

Memory: -7.0MiB live, 191.8MiB allocated
Compiler: Compiled 12 335 to 1 300 computations (89.5% saved)

prune15.0ms (0.2%)

Memory

12.6MiB live, 51.5MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

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

Accuracy

99.9%

Counts

466 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.1%	(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))
	99.6%	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)))
▶	99.0%	(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e)))
	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
▶	99.8%	(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
▶	99.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
▶	99.2%	#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)))
▶	54.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
	98.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))

Compiler

Compiled 208 to 172 computations (17.3% saved)

simplify241.0ms (3.3%)

Memory

-19.1MiB live, 175.1MiB 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	(neg.f64 e)
cost-diff	0	(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))
cost-diff	0	(+.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	(sin.f64 v)
cost-diff	0	(cos.f64 v)
cost-diff	0	(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
cost-diff	0	(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))

Rules

12 456×	`lower-fma.f32`
12 452×	`lower-fma.f64`
3 480×	`lower-*.f32`
3 470×	`lower-*.f64`
1 568×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	210
0	52	205
1	89	205
2	159	205
3	325	203
4	821	197
5	2053	197
6	3847	197
7	5314	197
8	6307	197
9	6610	197
10	6705	197
11	6836	197
12	6871	197
13	7500	197
14	7652	197
15	7688	197
16	7688	197
0	8136	197

Stop Event

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

Calls

Call 1

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

localize138.0ms (1.9%)

Memory

8.9MiB live, 207.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.125	(*.f64 (sin.f64 v) e)
accuracy	0.13671875	(*.f64 (cos.f64 v) e)
accuracy	0.1875	(/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
accuracy	0.6288403048299993	(/.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	0.01171875	(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
accuracy	0.21875	(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
accuracy	0.00390625	(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
accuracy	0.0078125	(.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))
accuracy	0.125	(*.f64 (sin.f64 v) e)
accuracy	0.3816604203190036	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))
accuracy	0	(+.f64 e #s(literal 1 binary64))
accuracy	0	(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
accuracy	0.0078125	(/.f64 e (+.f64 e #s(literal 1 binary64)))
accuracy	29.103647436498324	#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	0.00390625	(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy	0.12109375	(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))

Samples

96.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 187 to 30 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-cos: 22.0ms (35.8% of total)

ival-mult: 14.0ms (22.8% of total)

ival-div: 11.0ms (17.9% of total)

ival-add: 5.0ms (8.1% of total)

ival-sin: 5.0ms (8.1% of total)

ival-sub: 2.0ms (3.3% of total)

ival-neg: 1.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series45.0ms (0.6%)

Memory

34.2MiB live, 111.0MiB allocated

Counts

21 → 444

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	v	@	-inf	((/ e (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* 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)))) (/ (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) (* (/ e (+ (* (cos v) e) 1)) (sin v)) (* (sin v) e) (/ (- -1 (* (cos v) e)) (* (sin v) e)))
7.0ms	v	@	0	((/ e (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* 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)))) (/ (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) (* (/ e (+ (* (cos v) e) 1)) (sin v)) (* (sin v) e) (/ (- -1 (* (cos v) e)) (* (sin v) e)))
5.0ms	e	@	-inf	((/ e (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* 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)))) (/ (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) (* (/ e (+ (* (cos v) e) 1)) (sin v)) (* (sin v) e) (/ (- -1 (* (cos v) e)) (* (sin v) e)))
4.0ms	v	@	inf	((/ e (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* 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)))) (/ (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) (* (/ e (+ (* (cos v) e) 1)) (sin v)) (* (sin v) e) (/ (- -1 (* (cos v) e)) (* (sin v) e)))
3.0ms	e	@	inf	((/ e (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* 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)))) (/ (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) (* (/ e (+ (* (cos v) e) 1)) (sin v)) (* (sin v) e) (/ (- -1 (* (cos v) e)) (* (sin v) e)))

simplify186.0ms (2.6%)

Memory

-3.2MiB live, 312.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 652×	`lower-fma.f64`
8 652×	`lower-fma.f32`
7 458×	`lower-*.f64`
7 458×	`lower-*.f32`
2 568×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	516	6544
1	1693	6325
2	5141	6236
0	8620	5939

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 436

Calls

Call 1

Inputs
(/ e (+ 1 e))
(+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e)))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* e (* v (+ 1 (* -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))))
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(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 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 (* (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)))
(/ (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 (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 (+ 1 e))
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e)))
(fma.f64 (/.f64 (.f64 (.f64 (*.f64 e e) v) v) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)))) (.f64 v v) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 v) v) (fma.f64 (.f64 #s(literal 1/2 binary64) e) (/.f64 (fma.f64 (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/24 binary64) (.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) (/.f64 (.f64 (.f64 #s(literal -1/720 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64))))) (.f64 v v) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 (.f64 (.f64 v v) e) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) 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 (fma.f64 (.f64 (.f64 v v) e) #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 #s(literal 1 binary64) e))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64)) (.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) v)
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) e) (/.f64 (fma.f64 (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e))))) (.f64 v v) (fma.f64 (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) e) (/.f64 (fma.f64 (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e))))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (fma.f64 (.f64 (fma.f64 (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (/.f64 e (+.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 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) e) (/.f64 (fma.f64 (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)))))) (.f64 v v) (fma.f64 (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) e) (/.f64 (fma.f64 (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e))))) (.f64 v v) (fma.f64 (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) e) (/.f64 (fma.f64 (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e))))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (fma.f64 (.f64 (fma.f64 (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (/.f64 e (+.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 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) e) (/.f64 (fma.f64 (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)))) (+.f64 #s(literal 1 binary64) e)))))) (.f64 v v) (fma.f64 (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))))) (.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(* 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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) 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 (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) 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 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) e))) v)
(+ 1 (* -1 e))
(-.f64 #s(literal 1 binary64) e)
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2)))))
(fma.f64 (.f64 (.f64 v v) e) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) e))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal 1/2 binary64) e)) v) v (-.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 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal -1/24 binary64) e)) v) v (.f64 #s(literal 1/2 binary64) e)) (.f64 v v) (-.f64 #s(literal 1 binary64) e))
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(-.f64 (-.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)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 e #s(literal 3 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))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (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 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.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)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 e #s(literal 3 binary64)))))
(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))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (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 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.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)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 e #s(literal 3 binary64)))))
(* -1 (* e (cos v)))
(*.f64 (cos.f64 v) (neg.f64 e))
(* -1 (* e (+ (cos v) (/ 1 e))))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))
(* -1 (* e (+ (cos v) (/ 1 e))))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))
(* -1 (* e (+ (cos v) (/ 1 e))))
(fma.f64 (cos.f64 v) (neg.f64 e) #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))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (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 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(-.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.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)) (/.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) (pow.f64 e #s(literal 3 binary64)))))
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* -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))
(/ 1 (cos v))
(/.f64 #s(literal 1 binary64) (cos.f64 v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)))
(+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) 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 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) e))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) 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) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) e)) e))
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (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))
v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(-.f64 v (/.f64 (-.f64 v (/.f64 (-.f64 v (/.f64 v e)) e)) e))
1
#s(literal 1 binary64)
(- 1 (/ 1 e))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) e)) e))
e
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.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))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(.f64 (.f64 (neg.f64 e) e) (*.f64 (sin.f64 v) (cos.f64 v)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (cos.f64 v))) (*.f64 e e))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (cos.f64 v))) (*.f64 e e))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (cos.f64 v))) (*.f64 e e))
(* -1 (* e (cos v)))
(*.f64 (cos.f64 v) (neg.f64 e))
(* -1 (* e (- (cos v) (/ 1 e))))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(* -1 (* e (- (cos v) (/ 1 e))))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(* -1 (* e (- (cos v) (/ 1 e))))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 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))
(/ (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 (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))
(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 (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))
(* -1 (* e (cos v)))
(*.f64 (cos.f64 v) (neg.f64 e))
(* -1 (* e (- (/ 1 e) (* -1 (cos v)))))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))
(* -1 (* e (- (/ 1 e) (* -1 (cos v)))))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal -1 binary64))
(* -1 (* e (- (/ 1 e) (* -1 (cos v)))))
(fma.f64 (cos.f64 v) (neg.f64 e) #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 (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)
(* -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))

rewrite157.0ms (2.2%)

Memory

-21.6MiB live, 334.5MiB allocated

Rules

5 290×	`lower-fma.f32`
5 286×	`lower-fma.f64`
3 738×	`lower-*.f32`
3 728×	`lower-*.f64`
3 706×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	176
0	52	167
1	211	167
2	1410	161
0	8794	160

Stop Event

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

Counts

21 → 1 363

Calls

Call 1

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

Outputs
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eval289.0ms (4%)

Memory: 16.6MiB live, 733.0MiB allocated
Compiler: Compiled 43 214 to 4 293 computations (90.1% saved)

prune64.0ms (0.9%)

Memory

4.7MiB live, 241.6MiB allocated

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	1 906	25	1 931
Fresh	3	2	5
Picked	4	1	5
Done	0	0	0
Total	1 913	28	1 941

Accuracy

100.0%

Counts

1 941 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)))
	92.8%	(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) e) (.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64)) (sin.f64 v)) (.f64 (sin.f64 v) (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64)))))
	97.8%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)) e))
	98.0%	(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)))
	42.6%	(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) #s(literal -1/2 binary64))))
	54.5%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
	53.7%	(/.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 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
	99.3%	(.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) #s(literal -1/2 binary64))) (sin.f64 v))
▶	99.2%	(.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) (sin.f64 v))
	99.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
	98.7%	#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))))
▶	54.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
	53.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
	53.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))))
	44.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
	54.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
	54.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
	98.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
	54.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
	54.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
▶	54.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
▶	53.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
	69.2%	#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 (sin.f64 v) (cos.f64 v))) (*.f64 e e))))
	53.4%	#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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))

Compiler

Compiled 740 to 530 computations (28.4% saved)

simplify146.0ms (2%)

Memory

-1.5MiB live, 268.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)
cost-diff	0	#s(approx (/ e (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
cost-diff	0	(.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) (sin.f64 v))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
cost-diff	320	(fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e))
cost-diff	384	(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
cost-diff	384	(fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))
cost-diff	0	(+.f64 #s(literal 1 binary64) e)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) e) e)
cost-diff	0	(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
cost-diff	0	(*.f64 v e)
cost-diff	0	#s(approx (* (/ e (+ e 1)) v) (*.f64 v e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
cost-diff	0	(cos.f64 v)
cost-diff	0	(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))
cost-diff	384	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))

Rules

14 844×	`lower-fma.f32`
14 828×	`lower-fma.f64`
4 258×	`lower-+.f32`
4 256×	`lower-+.f64`
3 736×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	413
0	91	408
1	151	378
2	278	374
3	827	374
4	4398	374
5	5468	374
0	8288	355

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
e
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (* (/ e (+ e 1)) v) (*.f64 v e))
(*.f64 v e)
v
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e)))
(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 v (/.f64 (-.f64 e #s(literal -1 binary64)) e))
v
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(/.f64 (-.f64 e #s(literal -1 binary64)) e)
(+.f64 #s(literal 1 binary64) e)
(-.f64 e #s(literal -1 binary64))
#s(literal 1 binary64)
e
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) 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 (fma.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (.f64 v e) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e))))
(.f64 (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
(.f64 (.f64 v e) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))
(fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e)
(.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e)
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) e)
(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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)))
(*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v)
(*.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v)
(fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))
(fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))
e
#s(literal -1/8 binary64)
(fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))
#s(literal -1/120 binary64)
#s(literal 1/120 binary64)
v
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))
#s(literal 1/6 binary64)
#s(literal -1/6 binary64)
(*.f64 v v)
(*.f64 (-.f64 #s(literal 1 binary64) e) e)
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) (sin.f64 v))
(.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e)) (sin.f64 v))
#s(approx (/ e (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
#s(approx (/ e (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e))
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) e)
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
v
(neg.f64 e)
e
#s(literal 1 binary64)
(sin.f64 v)

localize170.0ms (2.3%)

Memory

16.7MiB live, 457.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)
accuracy	0.12109375	(.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) (sin.f64 v))
accuracy	0.25236879154025815	#s(approx (/ e (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
accuracy	0.08984375	(*.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v)
accuracy	0.2477393962797791	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
accuracy	6.356653800580961	(.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e)
accuracy	29.605407476052637	#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
accuracy	0	(+.f64 #s(literal 1 binary64) e)
accuracy	0.00390625	(/.f64 (+.f64 #s(literal 1 binary64) e) e)
accuracy	0.2109375	(/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))
accuracy	29.103647436498324	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
accuracy	0	(*.f64 v e)
accuracy	0.4897186397268916	#s(approx (* (/ e (+ e 1)) v) (*.f64 v e))
accuracy	29.103647436498324	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
accuracy	0	(sin.f64 v)
accuracy	0	(cos.f64 v)
accuracy	0.1015625	(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))
accuracy	0.171875	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))

Samples

114.0ms	254×	0	valid
21.0ms	1×	5	exit
2.0ms	1×	3	valid

Compiler

Compiled 333 to 56 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-mult: 50.0ms (44.3% of total)

const: 18.0ms (15.9% of total)

ival-add: 16.0ms (14.2% of total)

ival-div: 11.0ms (9.7% of total)

ival-cos: 7.0ms (6.2% of total)

ival-sin: 7.0ms (6.2% of total)

adjust: 1.0ms (0.9% of total)

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

exact: 1.0ms (0.9% of total)

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

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

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

series57.0ms (0.8%)

Memory

0.4MiB live, 156.5MiB allocated

Counts

23 → 480

Calls

Call 1

Inputs
#s(alt (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 v e))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ e (+ e 1)) v) (.f64 v e)) (patch #s(approx ( (/ e (+ e 1)) v) (*.f64 v e)) #<representation binary64>) () ())
#s(alt (.f64 v e) (patch (.f64 v e) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e))) #<representation binary64>) () ())
#s(alt (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (patch (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) e) e) (patch (/.f64 (+.f64 #s(literal 1 binary64) e) e) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) e) (patch (+.f64 #s(literal 1 binary64) e) #<representation binary64>) () ())
#s(alt (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) (patch (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) (patch (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e)) (patch (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) (sin.f64 v)) (patch (.f64 #s(approx (/ e (+ (* (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) (sin.f64 v)) #<representation binary64>) () ())
#s(alt #s(approx (/ e (+ (* (cos v) e) 1)) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) (patch #s(approx (/ e (+ ( (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e) (patch (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) (patch #s(approx ( (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) #<representation binary64>) () ())
#s(alt (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (patch (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) (patch (.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) #<representation binary64>) () ())

Outputs
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#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 (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 e (/.f64 (fma.f64 (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 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 e (/.f64 (fma.f64 (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 (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 e (/.f64 (fma.f64 (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 e) v) (taylor 0 v) (#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>) () ())) ())
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#s(alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e))) (taylor -inf e) (#s(alt #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) (patch #s(approx ( (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow e 2) (- (* 2/15 (pow v 2)) 2/3))) (taylor -inf e) (#s(alt (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (patch (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (- (+ (* -1 (- (* 2/15 (pow v 2)) 2/3)) (* 1/120 (/ (pow v 2) e))) (* 1/6 (/ 1 e)))) (taylor -inf e) (#s(alt (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (patch (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (- (+ (* -1 (- (* 2/15 (pow v 2)) 2/3)) (* 1/120 (/ (pow v 2) e))) (* 1/6 (/ 1 e)))) (taylor -inf e) (#s(alt (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (patch (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (- (+ (* -1 (- (* 2/15 (pow v 2)) 2/3)) (* 1/120 (/ (pow v 2) e))) (* 1/6 (/ 1 e)))) (taylor -inf e) (#s(alt (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (patch (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) #<representation binary64>) () ())) ())
#s(alt (* -2/15 (* e v)) (taylor -inf e) (#s(alt (.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) (patch (.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (+ (* -1/120 (/ v e)) (* 2/15 v)))) (taylor -inf e) (#s(alt (.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) (patch (.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (+ (* -1/120 (/ v e)) (* 2/15 v)))) (taylor -inf e) (#s(alt (.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) (patch (.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (+ (* -1/120 (/ v e)) (* 2/15 v)))) (taylor -inf e) (#s(alt (.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) (patch (.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	e	@	0	((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (/ (+ 1 e) e) (+ 1 e) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (* (+ (* (cos v) (neg e)) 1) e) (+ (* (cos v) (neg e)) 1) (sin v) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v))
7.0ms	v	@	inf	((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (/ (+ 1 e) e) (+ 1 e) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (* (+ (* (cos v) (neg e)) 1) e) (+ (* (cos v) (neg e)) 1) (sin v) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v))
5.0ms	v	@	-inf	((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (/ (+ 1 e) e) (+ 1 e) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (* (+ (* (cos v) (neg e)) 1) e) (+ (* (cos v) (neg e)) 1) (sin v) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v))
4.0ms	e	@	-inf	((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (/ (+ 1 e) e) (+ 1 e) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (* (+ (* (cos v) (neg e)) 1) e) (+ (* (cos v) (neg e)) 1) (sin v) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v))
4.0ms	v	@	0	((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (/ (+ 1 e) e) (+ 1 e) (+ (* e -1/8) (+ (* -1/120 e) 1/120)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (* (+ (* (cos v) (neg e)) 1) e) (+ (* (cos v) (neg e)) 1) (sin v) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v))

simplify657.0ms (9.1%)

Memory

-92.8MiB live, 343.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 658×	`lower-fma.f64`
10 658×	`lower-fma.f32`
7 164×	`lower-*.f64`
7 164×	`lower-*.f32`
2 808×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	528	7077
1	1699	6841
2	5430	6799
0	8342	6369

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 471

Calls

Call 1

Inputs
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (+ 1 e) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* e v)
(* e v)
(* e v)
(* e v)
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* e (- 1 e))
(+ (* e (* (pow v 2) (- (+ (* 1/6 e) (* 1/2 e)) 1/6))) (* e (- 1 e)))
(+ (* e (- 1 e)) (* (pow v 2) (+ (* e (* (pow v 2) (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))) (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))))
(+ (* e (- 1 e)) (* (pow v 2) (+ (* e (* (pow v 2) (+ 1/120 (+ (* -1/8 e) (* -1/120 e))))) (* e (- (+ (* 1/6 e) (* 1/2 e)) 1/6)))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e v) (+ 1 e))
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(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* 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))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(* e v)
(* e v)
(* e v)
(* e v)
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
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 e))
(+ 1 (/ 1 e))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* -2/15 e)
(* -1 (* e (- 2/15 (* 1/120 (/ 1 e)))))
(* -1 (* e (- 2/15 (* 1/120 (/ 1 e)))))
(* -1 (* e (- 2/15 (* 1/120 (/ 1 e)))))
(* 2/3 e)
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3)))
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3)))
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3)))
(* (pow e 2) (- (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) 1))
(* (pow e 2) (- (+ (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) (* -1 (/ (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1) e))) 1))
(* (pow e 2) (- (+ (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) (* -1 (/ (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1) e))) 1))
(* (pow e 2) (- (+ (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) (* -1 (/ (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1) e))) 1))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (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))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))
(* -1 (* (pow e 2) (cos v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(* -1 (* e (cos v)))
(* -1 (* e (- (cos v) (/ 1 e))))
(* -1 (* e (- (cos v) (/ 1 e))))
(* -1 (* e (- (cos v) (/ 1 e))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* (pow e 2) (- (* 2/15 (pow v 2)) 2/3)))
(* (pow e 2) (- (+ (* -1 (- (* 2/15 (pow v 2)) 2/3)) (* 1/120 (/ (pow v 2) e))) (* 1/6 (/ 1 e))))
(* (pow e 2) (- (+ (* -1 (- (* 2/15 (pow v 2)) 2/3)) (* 1/120 (/ (pow v 2) e))) (* 1/6 (/ 1 e))))
(* (pow e 2) (- (+ (* -1 (- (* 2/15 (pow v 2)) 2/3)) (* 1/120 (/ (pow v 2) e))) (* 1/6 (/ 1 e))))
(* -2/15 (* e v))
(* -1 (* e (+ (* -1/120 (/ v e)) (* 2/15 v))))
(* -1 (* e (+ (* -1/120 (/ v e)) (* 2/15 v))))
(* -1 (* e (+ (* -1/120 (/ v e)) (* 2/15 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))))
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(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.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 e (+.f64 #s(literal 1 binary64) e)))))) (.f64 v v) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
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(/ (+ 1 e) v)
(/.f64 (+.f64 #s(literal 1 binary64) e) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) e) (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/720 binary64) e) (fma.f64 (-.f64 (.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)))) #s(literal -1/6 binary64) (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 1/120 binary64) (fma.f64 #s(literal -1/5040 binary64) e #s(literal -1/5040 binary64))))) (.f64 v v) (-.f64 (.f64 #s(literal 1/24 binary64) e) (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) e #s(literal 1/120 binary64))))) (.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 (.f64 (.f64 v v) e) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) 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 (fma.f64 (.f64 (.f64 v v) e) #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 #s(literal 1 binary64) e))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) (.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64)) (.f64 v v) #s(literal -1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
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(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.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 e (+.f64 #s(literal 1 binary64) e)))))) (.f64 v v) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e))) (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.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 e (+.f64 #s(literal 1 binary64) e)))))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 1/24 binary64) e) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) e)) (/.f64 (.f64 (.f64 #s(literal -1/720 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (.f64 v v) (fma.f64 #s(literal 1/120 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal -1/24 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.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 e (+.f64 #s(literal 1 binary64) e))))))) (.f64 v v) (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(* e v)
(*.f64 v e)
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
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(* (pow e 2) (- (+ (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) (* -1 (/ (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1) e))) 1))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) v) 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) #s(literal 1 binary64))) (.f64 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))
(/ (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))
(/ 1 (cos v))
(/.f64 #s(literal 1 binary64) (cos.f64 v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 v)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e)))
(+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) 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 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e))) e))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) 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) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e))) e)) e))
(* -1 (* (pow e 2) (cos v)))
(.f64 (.f64 (neg.f64 e) e) (cos.f64 v))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)
(* -1 (* e (cos v)))
(*.f64 (cos.f64 v) (neg.f64 e))
(* -1 (* e (- (cos v) (/ 1 e))))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(* -1 (* e (- (cos v) (/ 1 e))))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(* -1 (* e (- (cos v) (/ 1 e))))
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(.f64 (.f64 (neg.f64 e) e) (*.f64 (cos.f64 v) (sin.f64 v)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (.f64 e e))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (.f64 e e))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (.f64 e e))
(* -1 (* (pow e 2) (- (* 2/15 (pow v 2)) 2/3)))
(.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e)
(* (pow e 2) (- (+ (* -1 (- (* 2/15 (pow v 2)) 2/3)) (* 1/120 (/ (pow v 2) e))) (* 1/6 (/ 1 e))))
(.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) e) (fma.f64 #s(literal 2/15 binary64) (.f64 v v) #s(literal -2/3 binary64))) (.f64 e e))
(* (pow e 2) (- (+ (* -1 (- (* 2/15 (pow v 2)) 2/3)) (* 1/120 (/ (pow v 2) e))) (* 1/6 (/ 1 e))))
(.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) e) (fma.f64 #s(literal 2/15 binary64) (.f64 v v) #s(literal -2/3 binary64))) (.f64 e e))
(* (pow e 2) (- (+ (* -1 (- (* 2/15 (pow v 2)) 2/3)) (* 1/120 (/ (pow v 2) e))) (* 1/6 (/ 1 e))))
(.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) e) (fma.f64 #s(literal 2/15 binary64) (.f64 v v) #s(literal -2/3 binary64))) (.f64 e e))
(* -2/15 (* e v))
(.f64 #s(literal -2/15 binary64) (.f64 v e))
(* -1 (* e (+ (* -1/120 (/ v e)) (* 2/15 v))))
(.f64 (fma.f64 (/.f64 v e) #s(literal 1/120 binary64) (.f64 #s(literal -2/15 binary64) v)) e)
(* -1 (* e (+ (* -1/120 (/ v e)) (* 2/15 v))))
(.f64 (fma.f64 (/.f64 v e) #s(literal 1/120 binary64) (.f64 #s(literal -2/15 binary64) v)) e)
(* -1 (* e (+ (* -1/120 (/ v e)) (* 2/15 v))))
(.f64 (fma.f64 (/.f64 v e) #s(literal 1/120 binary64) (.f64 #s(literal -2/15 binary64) v)) e)

rewrite234.0ms (3.2%)

Memory

9.1MiB live, 521.4MiB allocated

Rules

5 174×	`lower-*.f32`
5 158×	`lower-*.f64`
4 894×	`lower-fma.f32`
4 878×	`lower-fma.f64`
4 824×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	319
0	91	313
1	353	291
2	2504	286
0	9905	275

Stop Event

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

Counts

23 → 707

Calls

Call 1

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

Outputs
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eval174.0ms (2.4%)

Memory: 50.7MiB live, 509.8MiB allocated
Compiler: Compiled 29 365 to 4 073 computations (86.1% saved)

prune74.0ms (1%)

Memory

-26.8MiB live, 218.0MiB allocated

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	1 191	12	1 203
Fresh	4	18	22
Picked	3	2	5
Done	0	1	1
Total	1 198	33	1 231

Accuracy

100.0%

Counts

1 231 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
	55.2%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) e) (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
	55.3%	(/.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)))
	54.5%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)))
	92.8%	(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) e) (.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64)) (sin.f64 v)) (.f64 (sin.f64 v) (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64)))))
	97.8%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)) e))
	98.0%	(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)))
	42.6%	(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) #s(literal -1/2 binary64))))
	54.5%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
	53.7%	(/.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 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
	99.3%	(.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) #s(literal -1/2 binary64))) (sin.f64 v))
✓	99.2%	(.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) (sin.f64 v))
▶	99.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
	98.7%	#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))))
	53.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
	53.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
	53.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))))
	44.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
	54.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
	54.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
	98.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
	54.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
▶	54.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
✓	54.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
	69.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (.f64 e e))))
▶	53.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
	53.4%	#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 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
	25.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (.f64 v v) #s(literal -1 binary64)) (.f64 e e))) v)))
▶	53.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)))

Compiler

Compiled 901 to 633 computations (29.7% saved)

simplify169.0ms (2.3%)

Memory

-3.1MiB live, 309.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 v)
cost-diff	0	#s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))
cost-diff	384	(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
cost-diff	0	#s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e))
cost-diff	0	(fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
cost-diff	0	#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
cost-diff	0	#s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e))
cost-diff	0	(.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)
cost-diff	0	#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)))
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) e) v)
cost-diff	0	(.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)
cost-diff	0	#s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
cost-diff	0	(sin.f64 v)
cost-diff	0	(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
cost-diff	6656	(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))

Rules

20 606×	`lower-fma.f32`
20 596×	`lower-fma.f64`
4 292×	`lower-*.f32`
4 272×	`lower-*.f64`
3 276×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	734
0	105	725
1	185	640
2	360	632
3	1067	632
4	5058	632
5	6611	632
0	8324	603

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
(sin.f64 v)
v
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
(pow.f64 e #s(literal -1/2 binary64))
e
#s(literal -1/2 binary64)
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ v (/ (+ 1 e) 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)
#s(literal 1 binary64)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v))
(.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)
#s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)
(fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e))
(*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))
#s(literal 2/3 binary64)
e
#s(literal -1/6 binary64)
v
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
(fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
#s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e))
(.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e)
(.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e)
(fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64))
#s(literal -2/15 binary64)
(*.f64 v v)
v
#s(literal 2/3 binary64)
e
(*.f64 (-.f64 #s(literal 1 binary64) e) e)
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
e
(/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))
#s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(sin.f64 v)
v

Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
(/.f64 (sin.f64 v) (+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v)))
(sin.f64 v)
v
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
(+.f64 (pow.f64 e #s(literal -1 binary64)) (cos.f64 v))
(pow.f64 e #s(literal -1/2 binary64))
e
#s(literal -1/2 binary64)
(cos.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) v)))
#s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e))
#s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) v))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) v)
(*.f64 (-.f64 #s(literal 1 binary64) e) v)
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v))
(.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)
#s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)
(fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e))
(*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)
(fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))
#s(literal 2/3 binary64)
e
#s(literal -1/6 binary64)
v
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))))
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v)))
(.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) e) v))
(fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
(fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 (.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
#s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e))
#s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e))
(.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e)
(.f64 (.f64 (fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e) e)
(.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e)
(.f64 (fma.f64 (.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64)) e)
(fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64))
(fma.f64 (*.f64 v v) #s(literal -2/15 binary64) #s(literal 2/3 binary64))
#s(literal -2/15 binary64)
(*.f64 v v)
v
#s(literal 2/3 binary64)
e
(*.f64 (-.f64 #s(literal 1 binary64) e) e)
(-.f64 #s(literal 1 binary64) e)
#s(literal 1 binary64)
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
(.f64 (/.f64 e #s(approx (+ ( (cos v) e) 1) #s(literal 1 binary64))) (sin.f64 v))
e
(/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))
#s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(sin.f64 v)
v

localize270.0ms (3.7%)

Memory

13.4MiB live, 526.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 v)
accuracy	0.10546875	(/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))
accuracy	0.17578125	(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
accuracy	0.6531436081441933	#s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64))
accuracy	3.8092187076415005	(.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e)
accuracy	6.344221701655754	(.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e)
accuracy	29.605407476052637	#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
accuracy	61.78611204809485	#s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e))
accuracy	0.3816604203190036	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)))
accuracy	6.179747039770062	(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)
accuracy	29.605407476052637	#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v))
accuracy	30.019405076039725	#s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e))
accuracy	0.00390625	(*.f64 (-.f64 #s(literal 1 binary64) e) v)
accuracy	0.0078125	(.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)
accuracy	0.39669021274914235	#s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e))
accuracy	29.103647436498324	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
accuracy	0	(cos.f64 v)
accuracy	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
accuracy	0.21875	(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
accuracy	0.5543937988422102	(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))

Samples

230.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 419 to 66 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 208.0ms

ival-mult: 134.0ms (64.6% of total)

ival-add: 22.0ms (10.6% of total)

const: 20.0ms (9.6% of total)

ival-div: 9.0ms (4.3% of total)

ival-sin: 7.0ms (3.4% of total)

ival-cos: 6.0ms (2.9% of total)

ival-pow: 6.0ms (2.9% of total)

ival-sub: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

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

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

series65.0ms (0.9%)

Memory

34.2MiB live, 193.3MiB allocated

Counts

23 → 528

Calls

Call 1

Inputs
#s(alt (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) (patch (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) (patch (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e))) #<representation binary64>) () ())
#s(alt #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)) (patch #s(approx (/ v (/ (+ 1 e) 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 #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)) (patch #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v) (patch (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v) #<representation binary64>) () ())
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#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))) #<representation binary64>) () ())
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#s(alt #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (patch #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e)) #<representation binary64>) () ())
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Outputs
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#s(alt (/ v (+ 1 (/ 1 e))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) (patch (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) #<representation binary64>) () ())) ())
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#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 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) (patch (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) (patch (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt v (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
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#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 v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e))) #<representation binary64>) () ())) ())
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#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) 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)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e))) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)) (patch #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)) (patch #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)) (patch #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)) (patch #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)) #<representation binary64>) () ())) ())
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#s(alt (* e (* v (- 1 e))) (taylor 0 v) (#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 (* e (* v (- 1 e))) (taylor 0 v) (#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 (* v (- 1 e)) (taylor 0 v) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) e) v) (patch (.f64 (-.f64 #s(literal 1 binary64) e) v) #<representation binary64>) () ())) ())
#s(alt (* v (- 1 e)) (taylor 0 v) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) e) v) (patch (.f64 (-.f64 #s(literal 1 binary64) e) v) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (cos v)) (sin v)) (taylor -inf e) (#s(alt (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 #s(approx (+ (* (cos v) e) 1) #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 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 #s(approx (+ (* (cos v) e) 1) #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 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 #s(approx (+ (* (cos v) e) 1) #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 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow e 2) (+ 1 (* -2/3 (pow v 2))))) (taylor -inf e) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) (patch (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 (+ 1 (* -2/3 (pow v 2)))) (+ (* -1/6 (/ (pow v 2) e)) (/ 1 e)))) (taylor -inf e) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) (patch (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 (+ 1 (* -2/3 (pow v 2)))) (+ (* -1/6 (/ (pow v 2) e)) (/ 1 e)))) (taylor -inf e) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) (patch (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ (* -1 (+ 1 (* -2/3 (pow v 2)))) (+ (* -1/6 (/ (pow v 2) e)) (/ 1 e)))) (taylor -inf e) (#s(alt (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) (patch (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e) #<representation binary64>) () ())) ())
#s(alt (* e (+ 2/3 (* -2/15 (pow v 2)))) (taylor -inf e) (#s(alt (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) (patch (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (* e (+ 2/3 (* -2/15 (pow v 2)))) (taylor -inf e) (#s(alt (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) (patch (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (* e (+ 2/3 (* -2/15 (pow v 2)))) (taylor -inf e) (#s(alt (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) (patch (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (* e (+ 2/3 (* -2/15 (pow v 2)))) (taylor -inf e) (#s(alt (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) (patch (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ 2/3 (* -2/15 (pow v 2)))) (taylor -inf e) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e) (patch (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ 2/3 (* -2/15 (pow v 2)))) (taylor -inf e) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e) (patch (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ 2/3 (* -2/15 (pow v 2)))) (taylor -inf e) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e) (patch (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e) #<representation binary64>) () ())) ())
#s(alt (* (pow e 2) (+ 2/3 (* -2/15 (pow v 2)))) (taylor -inf e) (#s(alt (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e) (patch (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	v	@	-inf	((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (* (* (- 1 e) v) e) (* (- 1 e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) v) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (* (+ (* (* (+ (* 2/3 e) -1/6) v) v) (- 1 e)) e) (* (+ (* -2/15 (* v v)) 2/3) e) (* (* (+ (* -2/15 (* v v)) 2/3) e) e))
7.0ms	e	@	inf	((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (* (* (- 1 e) v) e) (* (- 1 e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) v) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (* (+ (* (* (+ (* 2/3 e) -1/6) v) v) (- 1 e)) e) (* (+ (* -2/15 (* v v)) 2/3) e) (* (* (+ (* -2/15 (* v v)) 2/3) e) e))
6.0ms	e	@	-inf	((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (* (* (- 1 e) v) e) (* (- 1 e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) v) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (* (+ (* (* (+ (* 2/3 e) -1/6) v) v) (- 1 e)) e) (* (+ (* -2/15 (* v v)) 2/3) e) (* (* (+ (* -2/15 (* v v)) 2/3) e) e))
5.0ms	v	@	inf	((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (* (* (- 1 e) v) e) (* (- 1 e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) v) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (* (+ (* (* (+ (* 2/3 e) -1/6) v) v) (- 1 e)) e) (* (+ (* -2/15 (* v v)) 2/3) e) (* (* (+ (* -2/15 (* v v)) 2/3) e) e))
4.0ms	e	@	0	((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ v (/ (+ 1 e) e)) (* (* (- 1 e) v) e) (* (- 1 e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (* (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) v) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (* (+ (* (* (+ (* 2/3 e) -1/6) v) v) (- 1 e)) e) (* (+ (* -2/15 (* v v)) 2/3) e) (* (* (+ (* -2/15 (* v v)) 2/3) e) e))

simplify197.0ms (2.7%)

Memory

-20.6MiB live, 378.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 682×	`lower-fma.f64`
11 682×	`lower-fma.f32`
6 558×	`lower-*.f64`
6 558×	`lower-*.f32`
3 618×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	563	9434
1	1861	8988
2	5974	8914
0	8157	8310

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 524

Calls

Call 1

Inputs
(+ 1 (/ 1 e))
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ v (+ 1 (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
(* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e)))))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* e (* v (- 1 e)))
(* v (- 1 e))
(* v (- 1 e))
(* v (- 1 e))
(* v (- 1 e))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
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(* e (+ (* e (* v (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1))) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
(* e (+ (* e (* v (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1))) (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))))
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(* e (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
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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))))))
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(* e (sin v))
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(/ 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)))
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(+ 1 (* e (cos v)))
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(* (pow e 2) (+ 2/3 (* -2/15 (pow v 2))))
(cos v)
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(+ (cos v) (/ 1 e))
(/ (sin v) (cos v))
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(* (pow e 2) (+ (* -1 v) (/ v e)))
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(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
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(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (* v (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1)))
(* (pow e 2) (+ (* v (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1)) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))
(* (pow e 2) (+ (* v (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1)) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))
(* (pow e 2) (+ (* v (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1)) (/ (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) e)))
(* (pow e 2) (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1))
(* (pow e 2) (- (+ (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e))) 1))
(* (pow e 2) (- (+ (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e))) 1))
(* (pow e 2) (- (+ (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e))) 1))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (- (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) 1))
(* (pow e 2) (- (+ (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e))) 1))
(* (pow e 2) (- (+ (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e))) 1))
(* (pow e 2) (- (+ (* (pow v 2) (+ 2/3 (* -2/15 (pow v 2)))) (+ (/ 1 e) (/ (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)) e))) 1))
(* (pow e 2) (+ 2/3 (* -2/15 (pow v 2))))
(* (pow e 2) (- (+ 2/3 (+ (* -2/15 (pow v 2)) (* 1/120 (/ (pow v 2) e)))) (* 1/6 (/ 1 e))))
(* (pow e 2) (- (+ 2/3 (+ (* -2/15 (pow v 2)) (* 1/120 (/ (pow v 2) e)))) (* 1/6 (/ 1 e))))
(* (pow e 2) (- (+ 2/3 (+ (* -2/15 (pow v 2)) (* 1/120 (/ (pow v 2) e)))) (* 1/6 (/ 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 (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)))
(* (pow e 2) (- (* 2/3 (pow v 2)) 1))
(* (pow e 2) (- (+ (* -1/6 (/ (pow v 2) e)) (+ (* 2/3 (pow v 2)) (/ 1 e))) 1))
(* (pow e 2) (- (+ (* -1/6 (/ (pow v 2) e)) (+ (* 2/3 (pow v 2)) (/ 1 e))) 1))
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(* e (+ 2/3 (* -2/15 (pow v 2))))
(* e (+ 2/3 (* -2/15 (pow v 2))))
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(* (pow e 2) (+ 2/3 (* -2/15 (pow v 2))))
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(cos v)
(+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e)))
(+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e)))
(+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e)))
(/ (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)))
(+ (* -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))
(+ (/ (sin v) (cos v)) (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 2))))
(+ (* -1 (/ (- (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (* e (pow (cos v) 3)))) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (* -1 (/ (- (/ (* (sin v) (pow (sqrt -1) 6)) (* e (pow (cos v) 4))) (* -1 (/ (* (sin v) (pow (sqrt -1) 4)) (pow (cos v) 3)))) e)) (/ (* (sin v) (pow (sqrt -1) 2)) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (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)))
v
(+ v (* -1 (/ v e)))
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(+ 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 (* (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)))
(* (pow e 2) (* v (- (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) 1)))
(* (pow e 2) (+ (* -1 (/ (* v (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1)) e)) (* v (- (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) 1))))
(* (pow e 2) (+ (* -1 (/ (* v (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1)) e)) (* v (- (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) 1))))
(* (pow e 2) (+ (* -1 (/ (* v (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1)) e)) (* v (- (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) 1))))
(* (pow e 2) (- (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) 1))
(* (pow e 2) (- (+ (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) (* -1 (/ (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1) e))) 1))
(* (pow e 2) (- (+ (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) (* -1 (/ (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1) e))) 1))
(* (pow e 2) (- (+ (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) (* -1 (/ (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1) e))) 1))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (- (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) 1))
(* (pow e 2) (- (+ (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) (* -1 (/ (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1) e))) 1))
(* (pow e 2) (- (+ (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) (* -1 (/ (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1) e))) 1))
(* (pow e 2) (- (+ (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) (* -1 (/ (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1) e))) 1))
(* -1 (* (pow e 2) (- (* 2/15 (pow v 2)) 2/3)))
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(* (pow e 2) (- (+ (* -1 (- (* 2/15 (pow v 2)) 2/3)) (* 1/120 (/ (pow v 2) e))) (* 1/6 (/ 1 e))))
(* (pow e 2) (- (+ (* -1 (- (* 2/15 (pow v 2)) 2/3)) (* 1/120 (/ (pow v 2) e))) (* 1/6 (/ 1 e))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e (cos v)) (sin v))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* (pow e 2) (+ 1 (* -2/3 (pow v 2)))))
(* (pow e 2) (+ (* -1 (+ 1 (* -2/3 (pow v 2)))) (+ (* -1/6 (/ (pow v 2) e)) (/ 1 e))))
(* (pow e 2) (+ (* -1 (+ 1 (* -2/3 (pow v 2)))) (+ (* -1/6 (/ (pow v 2) e)) (/ 1 e))))
(* (pow e 2) (+ (* -1 (+ 1 (* -2/3 (pow v 2)))) (+ (* -1/6 (/ (pow v 2) e)) (/ 1 e))))
(* e (+ 2/3 (* -2/15 (pow v 2))))
(* e (+ 2/3 (* -2/15 (pow v 2))))
(* e (+ 2/3 (* -2/15 (pow v 2))))
(* e (+ 2/3 (* -2/15 (pow v 2))))
(* (pow e 2) (+ 2/3 (* -2/15 (pow v 2))))
(* (pow e 2) (+ 2/3 (* -2/15 (pow v 2))))
(* (pow e 2) (+ 2/3 (* -2/15 (pow v 2))))
(* (pow e 2) (+ 2/3 (* -2/15 (pow v 2))))

Outputs
(+ 1 (/ 1 e))
(+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(fma.f64 (*.f64 v v) #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(fma.f64 (.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) v) v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal -1/2 binary64)) v) v (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 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))))
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(.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 v) v) (fma.f64 #s(literal 2/15 binary64) (.f64 v v) #s(literal -2/3 binary64)) #s(literal -1 binary64)) v (/.f64 (.f64 (fma.f64 (.f64 (neg.f64 v) v) (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) #s(literal -1 binary64)) v) (neg.f64 e))) (*.f64 e e))
(* (pow e 2) (- (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) 1))
(.f64 (fma.f64 (.f64 (neg.f64 v) v) (fma.f64 #s(literal 2/15 binary64) (.f64 v v) #s(literal -2/3 binary64)) #s(literal -1 binary64)) (.f64 e e))
(* (pow e 2) (- (+ (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) (* -1 (/ (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1) e))) 1))
(.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 v v) #s(literal -2/3 binary64)) v) v (/.f64 (fma.f64 (.f64 (neg.f64 v) v) (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) #s(literal -1 binary64)) e))) (.f64 e e))
(* (pow e 2) (- (+ (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) (* -1 (/ (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1) e))) 1))
(.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 v v) #s(literal -2/3 binary64)) v) v (/.f64 (fma.f64 (.f64 (neg.f64 v) v) (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) #s(literal -1 binary64)) e))) (.f64 e e))
(* (pow e 2) (- (+ (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) (* -1 (/ (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1) e))) 1))
(.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 v v) #s(literal -2/3 binary64)) v) v (/.f64 (fma.f64 (.f64 (neg.f64 v) v) (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) #s(literal -1 binary64)) e))) (.f64 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))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(.f64 (.f64 (neg.f64 e) e) (*.f64 (sin.f64 v) (cos.f64 v)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (cos.f64 v))) (*.f64 e e))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (cos.f64 v))) (*.f64 e e))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (cos.f64 v))) (*.f64 e e))
(* (pow e 2) (- (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) 1))
(.f64 (fma.f64 (.f64 (neg.f64 v) v) (fma.f64 #s(literal 2/15 binary64) (.f64 v v) #s(literal -2/3 binary64)) #s(literal -1 binary64)) (.f64 e e))
(* (pow e 2) (- (+ (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) (* -1 (/ (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1) e))) 1))
(.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 v v) #s(literal -2/3 binary64)) v) v (/.f64 (fma.f64 (.f64 (neg.f64 v) v) (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) #s(literal -1 binary64)) e))) (.f64 e e))
(* (pow e 2) (- (+ (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) (* -1 (/ (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1) e))) 1))
(.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 v v) #s(literal -2/3 binary64)) v) v (/.f64 (fma.f64 (.f64 (neg.f64 v) v) (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) #s(literal -1 binary64)) e))) (.f64 e e))
(* (pow e 2) (- (+ (* -1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))) (* -1 (/ (- (* -1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))) 1) e))) 1))
(.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 v v) #s(literal -2/3 binary64)) v) v (/.f64 (fma.f64 (.f64 (neg.f64 v) v) (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) #s(literal -1 binary64)) e))) (.f64 e e))
(* -1 (* (pow e 2) (- (* 2/15 (pow v 2)) 2/3)))
(.f64 (.f64 (neg.f64 e) e) (fma.f64 #s(literal 2/15 binary64) (*.f64 v v) #s(literal -2/3 binary64)))
(* (pow e 2) (- (+ (* -1 (- (* 2/15 (pow v 2)) 2/3)) (* 1/120 (/ (pow v 2) e))) (* 1/6 (/ 1 e))))
(.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) e) (fma.f64 #s(literal 2/15 binary64) (.f64 v v) #s(literal -2/3 binary64))) (.f64 e e))
(* (pow e 2) (- (+ (* -1 (- (* 2/15 (pow v 2)) 2/3)) (* 1/120 (/ (pow v 2) e))) (* 1/6 (/ 1 e))))
(.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) e) (fma.f64 #s(literal 2/15 binary64) (.f64 v v) #s(literal -2/3 binary64))) (.f64 e e))
(* (pow e 2) (- (+ (* -1 (- (* 2/15 (pow v 2)) 2/3)) (* 1/120 (/ (pow v 2) e))) (* 1/6 (/ 1 e))))
(.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) e) (fma.f64 #s(literal 2/15 binary64) (.f64 v v) #s(literal -2/3 binary64))) (.f64 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 (cos v)) (sin v))
(*.f64 (cos.f64 v) (/.f64 e (sin.f64 v)))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(fma.f64 (/.f64 (cos.f64 v) (sin.f64 v)) e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* -1 (* (pow e 2) (+ 1 (* -2/3 (pow v 2)))))
(.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 v v) #s(literal -1 binary64)) (*.f64 e e))
(* (pow e 2) (+ (* -1 (+ 1 (* -2/3 (pow v 2)))) (+ (* -1/6 (/ (pow v 2) e)) (/ 1 e))))
(.f64 (.f64 (-.f64 (fma.f64 (.f64 v (/.f64 v e)) #s(literal -1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (.f64 v v) (/.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64)) e) e)
(* (pow e 2) (+ (* -1 (+ 1 (* -2/3 (pow v 2)))) (+ (* -1/6 (/ (pow v 2) e)) (/ 1 e))))
(.f64 (.f64 (-.f64 (fma.f64 (.f64 v (/.f64 v e)) #s(literal -1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (.f64 v v) (/.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64)) e) e)
(* (pow e 2) (+ (* -1 (+ 1 (* -2/3 (pow v 2)))) (+ (* -1/6 (/ (pow v 2) e)) (/ 1 e))))
(.f64 (.f64 (-.f64 (fma.f64 (.f64 v (/.f64 v e)) #s(literal -1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (.f64 v v) (/.f64 #s(literal 1 binary64) e))) #s(literal 1 binary64)) e) e)
(* e (+ 2/3 (* -2/15 (pow v 2))))
(.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e)
(* e (+ 2/3 (* -2/15 (pow v 2))))
(.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e)
(* e (+ 2/3 (* -2/15 (pow v 2))))
(.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e)
(* e (+ 2/3 (* -2/15 (pow v 2))))
(.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e)
(* (pow e 2) (+ 2/3 (* -2/15 (pow v 2))))
(.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e)
(* (pow e 2) (+ 2/3 (* -2/15 (pow v 2))))
(.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e)
(* (pow e 2) (+ 2/3 (* -2/15 (pow v 2))))
(.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e)
(* (pow e 2) (+ 2/3 (* -2/15 (pow v 2))))
(.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e)

rewrite195.0ms (2.7%)

Memory

-2.6MiB live, 395.4MiB allocated

Rules

4 964×	`lower-*.f32`
4 944×	`lower-*.f64`
3 994×	`lower-/.f32`
3 988×	`lower-/.f64`
3 966×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	619
0	105	610
1	421	534
2	3229	534
0	9157	507

Stop Event

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

Counts

23 → 217

Calls

Call 1

Inputs
(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ v (/ (+ 1 e) 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)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v))
(.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)
#s(approx (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
(fma.f64 #s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
#s(approx (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e))
(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v))
#s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64))
(cos.f64 v)
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)
(.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e)
(.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 v v) #s(literal 2/3 binary64)) e) e)

Outputs
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eval97.0ms (1.3%)

Memory: 1.5MiB live, 313.5MiB allocated
Compiler: Compiled 16 057 to 1 702 computations (89.4% saved)

prune51.0ms (0.7%)

Memory

30.2MiB live, 193.2MiB allocated

Pruning

34 alts after pruning (27 fresh and 7 done)

	Pruned	Kept	Total
New	740	13	753
Fresh	11	14	25
Picked	1	4	5
Done	0	3	3
Total	752	34	786

Accuracy

100.0%

Counts

786 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
	55.3%	(/.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)))
	54.5%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (sin.f64 v)))
	98.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
	92.8%	(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) e) (.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64)) (sin.f64 v)) (.f64 (sin.f64 v) (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64)))))
	97.8%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (sin.f64 v)) e))
	42.6%	(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) #s(literal -1/2 binary64))))
	54.5%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
	53.7%	(/.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 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
	99.3%	(.f64 (.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) #s(literal -1/2 binary64))) (sin.f64 v))
✓	99.2%	(.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) (sin.f64 v))
	99.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))))
	98.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) #s(approx (cos v) #s(literal 1 binary64)))))
	98.7%	#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))))
	53.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
	54.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
	98.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
	54.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
	54.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (fma.f64 v #s(literal 1 binary64) (.f64 v (neg.f64 e))) e)))
✓	54.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
	27.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx ( (- 1 e) v) (*.f64 (neg.f64 e) v)) e)))
	42.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) #s(approx (* (* (- 1 e) v) e) (.f64 (-.f64 (/.f64 v e) v) (.f64 e e)))))
✓	54.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
	69.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (.f64 e e))))
✓	53.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) 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 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 #s(approx ( (+ (* -2/15 (* v v)) 2/3) e) (.f64 #s(literal -2/15 binary64) (.f64 (.f64 v e) v))) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
	25.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (.f64 v v) #s(literal -1 binary64)) (.f64 e e))) v)))
✓	53.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e)) v)))
	25.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (.f64 v v) #s(literal -1 binary64)) e) e)) v)))
	26.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) #s(approx (* (+ (* (* (+ (* 2/3 e) -1/6) v) v) (- 1 e)) e) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 v v) #s(literal -1 binary64)) (*.f64 e e)))) v)))
	53.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) #s(approx (* (+ (* (* (+ (* 2/3 e) -1/6) v) v) (- 1 e)) e) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) e))) v)))
	25.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) v) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) e) e))))

Compiler

Compiled 1 321 to 647 computations (51% saved)

regimes72.0ms (1%)

Memory

-24.6MiB live, 179.6MiB allocated

Counts

61 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx ( (- 1 e) v) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (fma.f64 v #s(literal 1 binary64) (.f64 v (neg.f64 e))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) #s(approx (* (+ (* (* (+ (* 2/3 e) -1/6) v) v) (- 1 e)) e) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) #s(approx (* (* (- 1 e) v) e) (.f64 (-.f64 (/.f64 v e) v) (.f64 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 #s(literal 1 binary64) e) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) #s(approx (* (+ (* (* (+ (* 2/3 e) -1/6) v) v) (- 1 e)) e) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 v v) #s(literal -1 binary64)) (*.f64 e e)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) 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 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (.f64 v e) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) 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)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) v) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (.f64 v v) #s(literal -1 binary64)) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (.f64 v v) #s(literal -1 binary64)) (.f64 e e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 #s(approx ( (+ (* -2/15 (* v v)) 2/3) e) (.f64 #s(literal -2/15 binary64) (.f64 (.f64 v e) v))) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.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)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) e) (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (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)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))
(.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) (sin.f64 v))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 (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)))
(/.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 (-.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)) (sin.f64 v)) e))
(/.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)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) #s(approx (cos 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 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (cos.f64 v))) (*.f64 e e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (neg.f64 (cos.f64 v)) (sin.f64 v) (/.f64 (sin.f64 v) e)) (.f64 e e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))))
(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 (.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) #s(literal -1/2 binary64))) (sin.f64 v))
(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal -1 binary64)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) e) (.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64)) (sin.f64 v)) (.f64 (sin.f64 v) (*.f64 (/.f64 (sin.f64 v) (cos.f64 v)) #s(literal 1 binary64)))))

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

Calls

3 calls:

32.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
18.0ms	e
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)

regimes42.0ms (0.6%)

Memory

14.8MiB live, 134.6MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx ( (- 1 e) v) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (fma.f64 v #s(literal 1 binary64) (.f64 v (neg.f64 e))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) #s(approx (* (+ (* (* (+ (* 2/3 e) -1/6) v) v) (- 1 e)) e) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) #s(approx (* (* (- 1 e) v) e) (.f64 (-.f64 (/.f64 v e) v) (.f64 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 #s(literal 1 binary64) e) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) #s(approx (* (+ (* (* (+ (* 2/3 e) -1/6) v) v) (- 1 e)) e) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 v v) #s(literal -1 binary64)) (*.f64 e e)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) 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 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (.f64 v e) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) 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)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) v) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (.f64 v v) #s(literal -1 binary64)) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (.f64 v v) #s(literal -1 binary64)) (.f64 e e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 #s(approx ( (+ (* -2/15 (* v v)) 2/3) e) (.f64 #s(literal -2/15 binary64) (.f64 (.f64 v e) v))) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.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)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) e) (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (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)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))
(.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)) (sin.f64 v))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.2%	1	`e`
99.2%	1	`v`
99.2%	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)

regimes41.0ms (0.6%)

Memory

-29.2MiB live, 130.6MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx ( (- 1 e) v) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (fma.f64 v #s(literal 1 binary64) (.f64 v (neg.f64 e))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) #s(approx (* (+ (* (* (+ (* 2/3 e) -1/6) v) v) (- 1 e)) e) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) #s(approx (* (* (- 1 e) v) e) (.f64 (-.f64 (/.f64 v e) v) (.f64 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 #s(literal 1 binary64) e) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) #s(approx (* (+ (* (* (+ (* 2/3 e) -1/6) v) v) (- 1 e)) e) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 v v) #s(literal -1 binary64)) (*.f64 e e)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) 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 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (.f64 v e) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) 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)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) v) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (.f64 v v) #s(literal -1 binary64)) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (.f64 v v) #s(literal -1 binary64)) (.f64 e e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 #s(approx ( (+ (* -2/15 (* v v)) 2/3) e) (.f64 #s(literal -2/15 binary64) (.f64 (.f64 v e) v))) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.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)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) e) (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (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)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))

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:

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

Results

Accuracy	Segments	Branch
99.2%	1	`e`
99.2%	1	`v`
99.2%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes40.0ms (0.6%)

Memory

8.5MiB live, 127.9MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx ( (- 1 e) v) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (fma.f64 v #s(literal 1 binary64) (.f64 v (neg.f64 e))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) #s(approx (* (+ (* (* (+ (* 2/3 e) -1/6) v) v) (- 1 e)) e) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) #s(approx (* (* (- 1 e) v) e) (.f64 (-.f64 (/.f64 v e) v) (.f64 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 #s(literal 1 binary64) e) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) #s(approx (* (+ (* (* (+ (* 2/3 e) -1/6) v) v) (- 1 e)) e) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 v v) #s(literal -1 binary64)) (*.f64 e e)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) 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 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (.f64 v e) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) 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)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) v) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (.f64 v v) #s(literal -1 binary64)) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (.f64 v v) #s(literal -1 binary64)) (.f64 e e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 #s(approx ( (+ (* -2/15 (* v v)) 2/3) e) (.f64 #s(literal -2/15 binary64) (.f64 (.f64 v e) v))) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.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)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) e) (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (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)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (*.f64 (sin.f64 v) e)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`e`
98.8%	1	`v`
98.8%	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)

regimes37.0ms (0.5%)

Memory

-4.6MiB live, 115.8MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx ( (- 1 e) v) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (fma.f64 v #s(literal 1 binary64) (.f64 v (neg.f64 e))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) #s(approx (* (+ (* (* (+ (* 2/3 e) -1/6) v) v) (- 1 e)) e) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) #s(approx (* (* (- 1 e) v) e) (.f64 (-.f64 (/.f64 v e) v) (.f64 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 #s(literal 1 binary64) e) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) #s(approx (* (+ (* (* (+ (* 2/3 e) -1/6) v) v) (- 1 e)) e) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 v v) #s(literal -1 binary64)) (*.f64 e e)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) 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 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (.f64 v e) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) 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)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) v) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (.f64 v v) #s(literal -1 binary64)) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (.f64 v v) #s(literal -1 binary64)) (.f64 e e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 #s(approx ( (+ (* -2/15 (* v v)) 2/3) e) (.f64 #s(literal -2/15 binary64) (.f64 (.f64 v e) v))) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))
(/.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)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 (.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 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) (+.f64 #s(literal 0 binary64) (/.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) e) (fma.f64 (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64))) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal -1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal 1/6 binary64)))) (*.f64 v v) (+.f64 #s(literal 1 binary64) e)) v)))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
55.3%	1	`v`
55.3%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
55.3%	1	`e`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes30.0ms (0.4%)

Memory

20.9MiB live, 99.7MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 #s(approx ( (- 1 e) v) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) (.f64 (fma.f64 v #s(literal 1 binary64) (.f64 v (neg.f64 e))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) #s(approx (* (+ (* (* (+ (* 2/3 e) -1/6) v) v) (- 1 e)) e) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ v (/ (+ 1 e) e)) #s(approx (* (* (- 1 e) v) e) (.f64 (-.f64 (/.f64 v e) v) (.f64 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 #s(literal 1 binary64) e) v)))
(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) #s(approx (* (+ (* (* (+ (* 2/3 e) -1/6) v) v) (- 1 e)) e) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 v v) #s(literal -1 binary64)) (*.f64 e e)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) 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 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (.f64 v e) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) 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)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) #s(approx (* (+ (* (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) v) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (*.f64 v v) #s(literal -1 binary64)) v) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (.f64 v v) #s(literal -1 binary64)) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 #s(approx (+ ( (* (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (* v v)) (* (- 1 e) e)) (.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) (.f64 v v) #s(literal -1 binary64)) (.f64 e e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 #s(approx ( (+ (* -2/15 (* v v)) 2/3) e) (.f64 #s(literal -2/15 binary64) (.f64 (.f64 v e) v))) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (fma.f64 #s(approx ( (+ (* (* (+ (* e -1/8) (+ (* -1/120 e) 1/120)) v) v) (+ (* 1/2 e) (+ (* 1/6 e) -1/6))) e) (.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 v v) #s(literal 2/3 binary64)) e) e)) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.5%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
54.5%	1	`v`
54.5%	1	`e`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes13.0ms (0.2%)

Memory

4.6MiB live, 43.9MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.5%	1	`v`
54.5%	1	`e`
54.5%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes12.0ms (0.2%)

Memory

-0.1MiB live, 40.8MiB allocated

Counts

9 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.0%	1	`v`
54.0%	1	`e`
54.0%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes8.0ms (0.1%)

Memory

-13.2MiB live, 26.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.0%	1	`v`
54.0%	1	`e`
54.0%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated

Accuracy

Total -17.8b remaining (-60.4%)

Threshold costs -17.8b (-60.4%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.0%	1	`v`
54.0%	1	`e`
54.0%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 13 to 13 computations (0% saved)

simplify27.0ms (0.4%)

Memory

-27.5MiB live, 92.2MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`-commutative-binary64-.f64`
6×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	210
1	80	210
2	83	210
3	84	210

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness856.0ms (11.8%)

Memory

21.7MiB live, 935.2MiB allocated

Rules

17 764×	`lower-fma.f64`
17 764×	`lower-fma.f32`
10 658×	`lower-fma.f64`
10 658×	`lower-fma.f32`
8 652×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	176
0	52	167
1	211	167
2	1410	161
0	8794	160
0	528	7077
1	1699	6841
2	5430	6799
0	8342	6369
0	9	29
0	15	29
1	42	29
2	241	29
3	2097	29
0	8370	27
0	516	6544
1	1693	6325
2	5141	6236
0	8620	5939
0	195	1209
1	584	1194
2	1652	1162
3	4899	1089
0	8542	1013

Stop Event

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

Compiler

Compiled 280 to 165 computations (41.1% saved)

preprocess108.0ms (1.5%)

Memory: 2.9MiB live, 280.2MiB allocated
Remove: (negabs v)
Compiler: Compiled 296 to 174 computations (41.2% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

start0.0ms (0%)

analyze13.0ms (0.2%)

sample1.5s (20.4%)

explain139.0ms (1.9%)

preprocess72.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize41.0ms (0.6%)

series16.0ms (0.2%)

simplify208.0ms (2.9%)

rewrite190.0ms (2.6%)

eval94.0ms (1.3%)

prune15.0ms (0.2%)

simplify241.0ms (3.3%)

localize138.0ms (1.9%)

series45.0ms (0.6%)

simplify186.0ms (2.6%)

rewrite157.0ms (2.2%)

eval289.0ms (4%)

prune64.0ms (0.9%)

simplify146.0ms (2%)

localize170.0ms (2.3%)

series57.0ms (0.8%)

simplify657.0ms (9.1%)

rewrite234.0ms (3.2%)

eval174.0ms (2.4%)

prune74.0ms (1%)

simplify169.0ms (2.3%)

localize270.0ms (3.7%)

series65.0ms (0.9%)

simplify197.0ms (2.7%)

rewrite195.0ms (2.7%)

eval97.0ms (1.3%)

prune51.0ms (0.7%)

regimes72.0ms (1%)

regimes42.0ms (0.6%)

regimes41.0ms (0.6%)

regimes40.0ms (0.6%)

regimes37.0ms (0.5%)

regimes30.0ms (0.4%)

regimes13.0ms (0.2%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

simplify27.0ms (0.4%)

soundness856.0ms (11.8%)

preprocess108.0ms (1.5%)

end0.0ms (0%)

Profiling