Metrics for Trigonometry A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze7.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample2.2s (21.6%)

Memory

-275.7MiB live, 1 384.9MiB allocated

Samples

1.9s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-sin: 559.0ms (38.4% of total)

ival-<=: 248.0ms (17.1% of total)

ival-mult: 226.0ms (15.5% of total)

ival-cos: 207.0ms (14.2% of total)

ival-add: 124.0ms (8.5% of total)

ival-div: 65.0ms (4.5% of total)

ival-and: 11.0ms (0.8% of total)

exact: 11.0ms (0.8% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain114.0ms (1.1%)

Memory

6.7MiB live, 245.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

50.0ms

512×

valid

Compiler

Compiled 115 to 43 computations (62.6% saved)

Precisions

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

ival-cos: 11.0ms (32.1% of total)

ival-sin: 11.0ms (32.1% of total)

ival-mult: 6.0ms (17.5% of total)

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

ival-add: 2.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess76.0ms (0.8%)

Memory

6.8MiB live, 45.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs v)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify4.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize48.0ms (0.5%)

Memory

-6.5MiB live, 71.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
accuracy	0.01953125	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
accuracy	0.109375	(*.f64 e (cos.f64 v))
accuracy	0.12109375	(*.f64 e (sin.f64 v))

Samples

38.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-sin: 19.0ms (63.6% of total)

ival-cos: 5.0ms (16.7% of total)

ival-mult: 3.0ms (10% of total)

ival-div: 1.0ms (3.3% of total)

ival-add: 1.0ms (3.3% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

5 → 108

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<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))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<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)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<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)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<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))))>
#<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))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt e>
#<alt (+ e (* -1/2 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>
#<alt (* e (cos v))>

Calls

27 calls:

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

simplify417.0ms (4.1%)

Memory

-7.0MiB live, 833.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	1153
1	554	1138
2	1582	1106
3	5255	1024
0	8371	956

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 106

Calls

Call 1

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

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

rewrite349.0ms (3.5%)

Memory

1.6MiB live, 776.5MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	15	27
1	42	27
2	241	27
3	2097	27
0	8370	25

Stop Event

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

Counts

5 → 344

Calls

Call 1

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

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

eval53.0ms (0.5%)

Memory: 20.6MiB live, 136.1MiB allocated
Compiler: Compiled 13 419 to 1 234 computations (90.8% saved)

prune59.0ms (0.6%)

Memory

-13.6MiB live, 143.8MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	439	11	450
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	440	11	451

Accuracy

99.9%

Counts

451 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.4%	(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	98.5%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	99.6%	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
▶	98.0%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
	99.4%	(.f64 (/.f64 (.f64 e (sin.f64 v)) (fma.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
▶	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
	99.4%	(.f64 (/.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))))
▶	98.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
	51.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
▶	51.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
▶	97.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))

Compiler

Compiled 360 to 218 computations (39.4% saved)

simplify485.0ms (4.8%)

Memory

-15.4MiB live, 447.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

12 712×	`lower-fma.f32`
12 708×	`lower-fma.f64`
2 800×	`lower-/.f32`
2 792×	`lower-/.f64`
2 664×	`lower-*.f32`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	27	183
0	44	178
1	77	178
2	125	178
3	264	178
4	519	178
5	686	178
6	901	178
7	1213	178
8	1610	178
9	2684	172
10	3946	172
11	4719	172
12	5080	172
13	5274	172
14	5328	172
15	5348	172
16	5992	172
17	6719	172
18	7154	172
19	7279	172
20	7310	172
21	7328	172
22	7348	172
23	7500	172
24	7504	172
25	7504	172
0	8866	172

Stop Event

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

Calls

Call 1

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

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

localize80.0ms (0.8%)

Memory

1.9MiB live, 120.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
accuracy	0.12109375	(*.f64 e (sin.f64 v))
accuracy	0.20703125	(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
accuracy	1.2353691584886064	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
accuracy	0	(neg.f64 e)
accuracy	0	(cos.f64 v)
accuracy	0.1328125	(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
accuracy	0.9653273478243881	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
accuracy	0	(sin.f64 v)
accuracy	0.12109375	(*.f64 e (sin.f64 v))
accuracy	1.6513004543610306	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
accuracy	0	(+.f64 #s(literal 1 binary64) e)
accuracy	0.015625	(*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e)))
accuracy	0.03125	(/.f64 e (+.f64 #s(literal 1 binary64) e))
accuracy	30.844578025396864	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
accuracy	0	(cos.f64 v)
accuracy	0.00390625	(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
accuracy	0.02734375	(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
accuracy	0.12109375	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)

Samples

50.0ms

256×

valid

Compiler

Compiled 168 to 24 computations (85.7% saved)

Precisions

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

ival-mult: 10.0ms (28.5% of total)

ival-div: 7.0ms (20% of total)

ival-sin: 7.0ms (20% of total)

ival-cos: 5.0ms (14.3% of total)

ival-add: 4.0ms (11.4% of total)

ival-neg: 1.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

30.0MiB live, 30.0MiB allocated

Counts

17 → 348

Calls

Call 1

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

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

Calls

87 calls:

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

simplify433.0ms (4.3%)

Memory

-8.7MiB live, 540.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 716×	`lower-fma.f64`
12 716×	`lower-fma.f32`
6 656×	`lower-*.f64`
6 656×	`lower-*.f32`
4 488×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	438	5675
1	1405	5454
2	4320	5234
0	8920	4968

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 341

Calls

Call 1

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

Outputs
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 v (.f64 v (fma.f64 (.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 e e) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))) (.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 v (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (-.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/5040 binary64)) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 e e) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/24 binary64))) (/.f64 (.f64 (.f64 e e) #s(literal -1/720 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 e e) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64)))) (.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(.f64 e (fma.f64 e (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(.f64 e (fma.f64 e (fma.f64 e (.f64 (sin.f64 v) (neg.f64 (.f64 (cos.f64 v) (.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (sin.f64 v)))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 (.f64 e e) (.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))))) e))
(/ v (+ 1 e))
(/.f64 v (+.f64 e #s(literal 1 binary64)))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(fma.f64 v (.f64 (.f64 v v) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(fma.f64 v (.f64 v (.f64 v (fma.f64 v (.f64 v (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 e (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))) (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (/.f64 v (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) (fma.f64 (fma.f64 e (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 e (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/24 binary64))) (fma.f64 #s(literal -1/720 binary64) (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/5040 binary64) (+.f64 e #s(literal 1 binary64))))) (.f64 v (neg.f64 v)) (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 e (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))))) (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) v) (/.f64 v (+.f64 e #s(literal 1 binary64))))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(sin v)
(sin.f64 v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(fma.f64 e (.f64 (sin.f64 v) (.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (sin.f64 v))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
(fma.f64 e (fma.f64 e (.f64 (sin.f64 v) (neg.f64 (.f64 (cos.f64 v) (.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (sin.f64 v))
(/ (sin v) (* e (cos v)))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(-.f64 (/.f64 (sin.f64 v) (.f64 e (cos.f64 v))) (/.f64 (sin.f64 v) (.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) e)
(/ (- (+ (* -1 (/ (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)
(/.f64 (+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 (.f64 e e) (.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) e)
(/ (sin v) (* e (cos v)))
(/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(neg.f64 (-.f64 (/.f64 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (cos.f64 v)))))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(/.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))))) e)
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
(/.f64 (-.f64 (/.f64 (+.f64 (-.f64 (/.f64 (sin.f64 v) (.f64 e (.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64))))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e) (/.f64 (sin.f64 v) (cos.f64 v))) (neg.f64 e))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
1
#s(literal 1 binary64)
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(+ 1 (* e (cos v)))
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(.f64 (.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))
(+ e (* -1 (pow e 2)))
(-.f64 e (*.f64 e e))
(+ e (+ (* -1 (pow e 2)) (* 1/2 (* (pow e 2) (pow v 2)))))
(fma.f64 (.f64 e e) (fma.f64 (.f64 v v) #s(literal 1/2 binary64) #s(literal -1 binary64)) e)
(+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2))))))
(fma.f64 e (neg.f64 e) (fma.f64 (.f64 e (.f64 e (.f64 v v))) (fma.f64 (.f64 v v) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) e))
(+ e (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2)))))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 e (.f64 v v))) (fma.f64 (.f64 v v) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 (.f64 e e) #s(literal 1/2 binary64))) (-.f64 e (.f64 e e)))
(+ e (* -1 (* (pow e 2) (cos v))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(+ e (* -1 (* (pow e 2) (cos v))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(+ e (* -1 (* (pow e 2) (cos v))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(+ e (* -1 (* (pow e 2) (cos v))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(+ e (* -1 (* (pow e 2) (cos v))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(+ e (* -1 (* (pow e 2) (cos v))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(+ e (* -1 (* (pow e 2) (cos v))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(+ e (* -1 (* (pow e 2) (cos v))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
e
(* e (+ 1 (* -1 (* e (cos v)))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* e (+ 1 (* -1 (* e (cos v)))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* e (+ 1 (* -1 (* e (cos v)))))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* -1 (* (pow e 2) (cos v)))
(.f64 (.f64 e e) (neg.f64 (cos.f64 v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* -1 (* (pow e 2) (cos v)))
(.f64 (.f64 e e) (neg.f64 (cos.f64 v)))
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(.f64 e (fma.f64 e (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(.f64 e (fma.f64 e (fma.f64 e (.f64 (sin.f64 v) (neg.f64 (.f64 (cos.f64 v) (.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (sin.f64 v)))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 (.f64 e e) (.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64)))))) (-.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (.f64 (*.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (-.f64 (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (.f64 e (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))))) e))
(/ (* e v) (+ 1 e))
(*.f64 v (/.f64 e (+.f64 e #s(literal 1 binary64))))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 v (.f64 v (fma.f64 (.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 e e) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))) (.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 v (.f64 v (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (-.f64 (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/5040 binary64)) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 e e) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/24 binary64))) (/.f64 (.f64 (.f64 e e) #s(literal -1/720 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))))) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 e e) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64)))) (.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/.f64 (fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) e)
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/.f64 (fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) e)
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/.f64 (fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) e)
(/ (cos v) (sin v))
(/.f64 (cos.f64 v) (sin.f64 v))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(/ (cos v) (sin v))
(/.f64 (cos.f64 v) (sin.f64 v))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
(/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) #s(literal 1 binary64))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (fma.f64 (.f64 v v) (-.f64 (fma.f64 v (.f64 v (fma.f64 (+.f64 (+.f64 #s(literal -1/360 binary64) (.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal 1/840 binary64))) (.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))))) (.f64 v (neg.f64 v)) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
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 v (.f64 v (fma.f64 (.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (.f64 v v) (fma.f64 v (.f64 v (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)
(* -1 e)
(neg.f64 e)

rewrite388.0ms (3.9%)

Memory

-9.3MiB live, 546.1MiB allocated

Rules

7 082×	`lower-fma.f32`
7 078×	`lower-fma.f64`
5 900×	`lower-*.f32`
5 890×	`lower-*.f64`
4 652×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	147
0	44	142
1	151	142
2	928	142
0	8656	142

Stop Event

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

Counts

17 → 1 333

Calls

Call 1

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

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

eval232.0ms (2.3%)

Memory: 25.4MiB live, 404.6MiB allocated
Compiler: Compiled 48 475 to 3 820 computations (92.1% saved)

prune227.0ms (2.3%)

Memory

4.8MiB live, 472.6MiB allocated

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	1 906	28	1 934
Fresh	5	1	6
Picked	2	3	5
Done	0	0	0
Total	1 913	32	1 945

Accuracy

100.0%

Counts

1 945 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.4%	(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	99.6%	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
▶	99.6%	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
	95.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
	97.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
	51.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) #s(literal 1 binary64))) v)))
	50.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
	98.5%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
	51.8%	(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
	98.3%	(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) e)
	51.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (/.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))
	51.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
	61.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (.f64 (fma.f64 (.f64 e (neg.f64 e)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64)) (.f64 e (neg.f64 e))) (sin.f64 v)) (/.f64 #s(literal -1 binary64) (fma.f64 e (.f64 e (cos.f64 v)) e))))
✓	98.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
▶	98.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))
	97.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
	46.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (.f64 e (neg.f64 e)) (*.f64 e (-.f64 #s(literal -1 binary64) e)))))
▶	20.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
	51.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
	51.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))
✓	97.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
	50.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
	50.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
▶	50.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
	67.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 (.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))))
	51.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (.f64 (.f64 e e) #s(literal 2/3 binary64))) (-.f64 e (*.f64 e e))))))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
	51.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))))
▶	50.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
	50.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))

Compiler

Compiled 909 to 512 computations (43.7% saved)

simplify168.0ms (1.7%)

Memory

-18.1MiB live, 280.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)
cost-diff	0	(sin.f64 v)
cost-diff	0	(.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))
cost-diff	0	(.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
cost-diff	64	(fma.f64 e e #s(literal 0 binary64))
cost-diff	1408	(/.f64 (neg.f64 (.f64 e (.f64 e e))) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))
cost-diff	0	(fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v)
cost-diff	0	#s(approx (sin v) (fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v))
cost-diff	0	(.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v)))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
cost-diff	0	(*.f64 e v)
cost-diff	0	#s(approx (* v (/ e (+ 1 e))) (*.f64 e v))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
cost-diff	0	(cos.f64 v)
cost-diff	0	(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
cost-diff	384	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))

Rules

3 518×	`lower-*.f32`
3 498×	`lower-*.f64`
3 324×	`lower-fma.f32`
3 316×	`lower-fma.f64`
1 728×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	288
0	69	262
1	122	258
2	290	246
3	1118	244
4	3388	244
5	6076	244
0	8095	240

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
e
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (* v (/ e (+ 1 e))) (*.f64 e v))
(*.f64 e v)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v))))
(.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v)))
(.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (*.f64 v #s(literal -1/6 binary64)) v)))
e
#s(approx (sin v) (fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v))
#s(approx (sin v) (fma.f64 (.f64 v v) (.f64 v #s(literal -1/6 binary64)) v))
(fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v)
(fma.f64 (.f64 v v) (.f64 v #s(literal -1/6 binary64)) v)
v
(.f64 (.f64 v v) #s(literal -1/6 binary64))
(.f64 v (.f64 v #s(literal -1/6 binary64)))
(*.f64 v v)
#s(literal -1/6 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64))))
(.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))))
(/.f64 (*.f64 e v) (+.f64 e #s(literal 1 binary64)))
v
(/.f64 (neg.f64 (.f64 e (.f64 e e))) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))
(/.f64 e (+.f64 e #s(literal 1 binary64)))
(neg.f64 (.f64 e (.f64 e e)))
(.f64 e (.f64 e e))
e
(*.f64 e e)
(*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))
(neg.f64 (*.f64 e (fma.f64 e e e)))
(fma.f64 e e #s(literal 0 binary64))
(*.f64 e e)
#s(literal 0 binary64)
(-.f64 #s(literal -1 binary64) e)
#s(literal -1 binary64)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
(.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(sin.f64 v)
v
(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)
(fma.f64 (cos.f64 v) (*.f64 e (neg.f64 e)) e)
(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
(cos.f64 v)
(neg.f64 e)
e
#s(literal 1 binary64)

localize112.0ms (1.1%)

Memory

27.5MiB live, 182.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 v)
accuracy	0.0234375	(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)
accuracy	0.1328125	(.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))
accuracy	0.9653273478243881	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))
accuracy	0.0234375	(*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))
accuracy	0.09765625	(.f64 e (.f64 e e))
accuracy	30.844578025396864	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
accuracy	41.9030314607479	(/.f64 (neg.f64 (.f64 e (.f64 e e))) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))
accuracy	0.12109375	(.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v)))
accuracy	0.1796875	(.f64 (.f64 v v) #s(literal -1/6 binary64))
accuracy	1.6513004543610306	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
accuracy	30.947676088806872	#s(approx (sin v) (fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v))
accuracy	0	(*.f64 e v)
accuracy	1.6599485103250253	#s(approx (* v (/ e (+ 1 e))) (*.f64 e v))
accuracy	30.844578025396864	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
accuracy	0	(cos.f64 v)
accuracy	0.00390625	(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
accuracy	0.125	(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
accuracy	0.21875	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))

Samples

76.0ms

256×

valid

Compiler

Compiled 223 to 38 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 21.0ms (36.4% of total)

ival-add: 9.0ms (15.6% of total)

ival-div: 7.0ms (12.1% of total)

ival-cos: 7.0ms (12.1% of total)

ival-sin: 5.0ms (8.7% of total)

const: 4.0ms (6.9% of total)

ival-neg: 2.0ms (3.5% of total)

ival-sub: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory

-8.9MiB live, 28.8MiB allocated

Counts

22 → 420

Calls

Call 1

Inputs
#<alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))>
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))>
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))>
#<alt (cos.f64 v)>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))>
#<alt #s(approx (* v (/ e (+ 1 e))) (*.f64 e v))>
#<alt (*.f64 e v)>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))>
#<alt (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v)))>
#<alt #s(approx (sin v) (fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v))>
#<alt (fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v)>
#<alt (/.f64 (neg.f64 (.f64 e (.f64 e e))) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))>
#<alt (fma.f64 e e #s(literal 0 binary64))>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))>
#<alt (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))))>
#<alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))>
#<alt (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e))>
#<alt (sin.f64 v)>
#<alt (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)>
#<alt (.f64 (.f64 v v) #s(literal -1/6 binary64))>
#<alt (.f64 e (.f64 e e))>
#<alt (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e))>

Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<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))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<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)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<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)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<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))))>
#<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))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ 1 (sin v))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<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))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<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)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<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)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<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))))>
#<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))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<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))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<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)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<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)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<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))))>
#<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))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))>
#<alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt (* e (sin v))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* -1/6 (pow v 3))>
#<alt (* (pow v 3) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* (pow v 3) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* (pow v 3) (- (/ 1 (pow v 2)) 1/6))>
#<alt (* -1/6 (pow v 3))>
#<alt (* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))>
#<alt (* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))>
#<alt (* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))>
#<alt e>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (* e (+ 1 (* e (- e 1))))>
#<alt (* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (/ 1 e))>
#<alt (- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))>
#<alt 1>
#<alt (- 1 (/ 1 e))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
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#<alt (pow e 2)>
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#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (pow e 2)>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<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))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<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)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<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)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<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))))>
#<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))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* e v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (- (* e v) v))))>
#<alt (* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (- (+ v (/ v (pow e 2))) (/ v e))>
#<alt (- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)))>
#<alt (+ v (* -1 (/ (- (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e)) (* -1 v)) e)))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<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))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<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)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<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)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<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))))>
#<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))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (* v (+ 1 (* -1 e))))>
#<alt (* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))>
#<alt (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))>
#<alt (* 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))))))))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))>
#<alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (sin v)>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (+ (* 1/2 (* (pow e 2) (pow v 2))) (* e (+ 1 (* -1 e))))>
#<alt (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2)))))>
#<alt (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2))))))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt e>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* -1 (* (pow e 2) (cos v)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* -1 (* (pow e 2) (cos v)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (* -1/6 (pow v 2))>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<alt (pow e 3)>
#<alt (* -1 (pow e 2))>
#<alt (* (pow e 2) (- (* -1 e) 1))>
#<alt (* (pow e 2) (- (* -1 e) 1))>
#<alt (* (pow e 2) (- (* -1 e) 1))>
#<alt (* -1 (pow e 3))>
#<alt (* -1 (* (pow e 3) (+ 1 (/ 1 e))))>
#<alt (* -1 (* (pow e 3) (+ 1 (/ 1 e))))>
#<alt (* -1 (* (pow e 3) (+ 1 (/ 1 e))))>
#<alt (* -1 (pow e 3))>
#<alt (* -1 (* (pow e 3) (+ 1 (/ 1 e))))>
#<alt (* -1 (* (pow e 3) (+ 1 (/ 1 e))))>
#<alt (* -1 (* (pow e 3) (+ 1 (/ 1 e))))>

Calls

105 calls:

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

simplify377.0ms (3.8%)

Memory

25.2MiB live, 499.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 080×	`lower-fma.f64`
13 080×	`lower-fma.f32`
7 668×	`lower-*.f64`
7 668×	`lower-*.f32`
4 782×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	393	5623
1	1254	5421
2	3801	5386
0	8858	5101

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 411

Calls

Call 1

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

rewrite292.0ms (2.9%)

Memory

-17.3MiB live, 296.4MiB allocated

Rules

5 182×	`lower-fma.f32`
5 174×	`lower-fma.f64`
3 560×	`lower-/.f32`
3 554×	`lower-/.f64`
3 116×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	246
0	69	222
1	231	218
2	1669	201
0	9002	197

Stop Event

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

Counts

22 → 704

Calls

Call 1

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

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

eval320.0ms (3.2%)

Memory: 29.5MiB live, 225.0MiB allocated
Compiler: Compiled 25 309 to 2 669 computations (89.5% saved)

prune282.0ms (2.8%)

Memory

10.9MiB live, 249.8MiB allocated

Pruning

48 alts after pruning (43 fresh and 5 done)

	Pruned	Kept	Total
New	1 124	26	1 150
Fresh	7	17	24
Picked	3	2	5
Done	0	3	3
Total	1 134	48	1 182

Accuracy

100.0%

Counts

1 182 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.4%	(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	91.7%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) (.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))))
▶	99.6%	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
	97.1%	(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
	53.2%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
	51.7%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
	95.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
	97.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
	51.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) #s(literal 1 binary64))) v)))
	50.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
	98.5%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
	51.8%	(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
	98.3%	(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) e)
	51.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
	50.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) v)))
	61.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (.f64 (fma.f64 (.f64 e (neg.f64 e)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64)) (.f64 e (neg.f64 e))) (sin.f64 v)) (/.f64 #s(literal -1 binary64) (fma.f64 e (.f64 e (cos.f64 v)) e))))
	16.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 v (.f64 e (.f64 e e))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (.f64 e e)))))
	34.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (.f64 e (.f64 e e)) (/.f64 #s(literal 1 binary64) (.f64 e e)) (.f64 (.f64 (cos.f64 v) (neg.f64 e)) e))))
	67.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (.f64 e e) (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 (cos.f64 v) (neg.f64 e)) e))))
✓	98.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
✓	98.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))
▶	97.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) (neg.f64 e) #s(literal 1 binary64)) e)))
	97.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
▶	19.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e)))) v)))
	26.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e)))) (.f64 (.f64 e (*.f64 e (-.f64 #s(literal -1 binary64) e))) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))))))
	46.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (.f64 e (neg.f64 e)) (*.f64 e (-.f64 #s(literal -1 binary64) e)))))
	16.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (/.f64 (.f64 (.f64 e (.f64 e (.f64 e e))) e) (.f64 e e))) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
	16.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 (.f64 (.f64 e (.f64 e (.f64 e e))) e) (/.f64 #s(literal 1 binary64) (.f64 e e)))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
	20.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (/.f64 (-.f64 (.f64 e e) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) (.f64 e e))) (-.f64 #s(literal -1 binary64) e)))))
	19.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) #s(approx ( (+ (* e e) 0) (- -1 e)) (neg.f64 (*.f64 e e))))))
▶	51.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
	46.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (.f64 (/.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal -1 binary64) e))))
	51.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ (neg ( e (* e e))) (* (+ (* e e) 0) (- -1 e))) (-.f64 e (*.f64 e e)))))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ (neg ( e (* e e))) (* (+ (* e e) 0) (- -1 e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
✓	97.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
	50.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
	50.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
	50.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v (*.f64 v v)) #s(literal -1/6 binary64) v))))
	45.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (/.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 1/36 binary64)) (.f64 v v)) (-.f64 (.f64 (.f64 v v) (*.f64 v #s(literal -1/6 binary64))) v)))))
	45.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 1/36 binary64)) (.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v v) (.f64 v #s(literal -1/6 binary64))) v))))))
	28.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* (* v v) -1/6)) v) (.f64 (.f64 v v) (.f64 v (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v)))))))))
	27.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* (* v v) -1/6)) v) (.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
	67.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 (.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))))
▶	51.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e (-.f64 v (.f64 e v)))))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ (neg (* e (* e e))) (* (+ (* e e) 0) (- -1 e)))) (-.f64 v (/.f64 v e))))
✓	50.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
	50.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 e (*.f64 v v)) e))))

Compiler

Compiled 1 648 to 876 computations (46.8% saved)

simplify257.0ms (2.6%)

Memory

6.5MiB live, 162.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) (neg.f64 e) #s(literal 1 binary64)) e)
cost-diff	0	(sin.f64 v)
cost-diff	0	(.f64 (sin.f64 v) (.f64 (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) (neg.f64 e) #s(literal 1 binary64)) e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) (neg.f64 e) #s(literal 1 binary64)) e)))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e)))) v)))
cost-diff	128	(/.f64 #s(literal 1 binary64) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e))))
cost-diff	192	(.f64 (/.f64 #s(literal 1 binary64) (.f64 e (*.f64 e (-.f64 #s(literal -1 binary64) e)))) v)
cost-diff	1408	(.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
cost-diff	0	(/.f64 (+.f64 e #s(literal 1 binary64)) e)
cost-diff	0	(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
cost-diff	0	(-.f64 v (*.f64 e v))
cost-diff	0	(.f64 e (-.f64 v (.f64 e v)))
cost-diff	0	#s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e (-.f64 v (.f64 e v))))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e (-.f64 v (.f64 e v)))))
cost-diff	0	(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
cost-diff	0	(sin.f64 v)
cost-diff	384	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))

Rules

4 746×	`lower-fma.f32`
4 742×	`lower-fma.f64`
3 440×	`lower-*.f32`
3 418×	`lower-*.f64`
1 356×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	314
0	73	288
1	135	276
2	301	274
3	1154	274
4	3603	274
5	5848	274
0	8110	273

Stop Event

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

Calls

Call 1

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

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

localize183.0ms (1.8%)

Memory

-41.1MiB live, 127.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(*.f64 (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) (neg.f64 e) #s(literal 1 binary64)) e)
accuracy	0.1328125	(.f64 (sin.f64 v) (.f64 (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) (neg.f64 e) #s(literal 1 binary64)) e))
accuracy	0.9653273478243881	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) (neg.f64 e) #s(literal 1 binary64)) e)))
accuracy	28.218999467930495	#s(approx (cos v) #s(literal 1 binary64))
accuracy	0.140625	(/.f64 #s(literal 1 binary64) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e))))
accuracy	6.412077230979634	(.f64 (/.f64 #s(literal 1 binary64) (.f64 e (*.f64 e (-.f64 #s(literal -1 binary64) e)))) v)
accuracy	30.844578025396864	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e)))) v)))
accuracy	37.977337726093644	(.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e)))) v))
accuracy	0.0078125	(/.f64 (+.f64 e #s(literal 1 binary64)) e)
accuracy	0.015625	(*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
accuracy	0.15625	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))
accuracy	30.844578025396864	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
accuracy	0	(*.f64 e v)
accuracy	0.0078125	(.f64 e (-.f64 v (.f64 e v)))
accuracy	0.9653273478243881	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e (-.f64 v (.f64 e v)))))
accuracy	30.844577028186478	#s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e (-.f64 v (.f64 e v))))
accuracy	0	(cos.f64 v)
accuracy	0.00390625	(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
accuracy	0.015625	(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
accuracy	0.25390625	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))

Samples

108.0ms

256×

valid

Compiler

Compiled 242 to 36 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-add: 23.0ms (31.6% of total)

ival-mult: 19.0ms (26.1% of total)

ival-sin: 12.0ms (16.5% of total)

ival-div: 9.0ms (12.3% of total)

ival-cos: 5.0ms (6.9% of total)

ival-sub: 2.0ms (2.7% of total)

ival-neg: 2.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

23.7MiB live, 23.7MiB allocated

Counts

22 → 456

Calls

Call 1

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

Outputs
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<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))))>
#<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))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<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))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<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)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<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)))>
#<alt v>
#<alt (* v (+ 1 (* -1/6 (pow v 2))))>
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#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<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))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<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)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<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)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<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))))>
#<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))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (* e (* v (+ 1 (* -1 e))))>
#<alt (* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))>
#<alt (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))>
#<alt (* 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))))))))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))>
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* -1 (* (pow e 2) (* (cos v) (sin v))))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))>
#<alt (* e (+ 1 (* -1 e)))>
#<alt (+ (* 1/2 (* (pow e 2) (pow v 2))) (* e (+ 1 (* -1 e))))>
#<alt (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/24 (* (pow e 2) (pow v 2))) (* 1/2 (pow e 2)))))>
#<alt (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* 1/2 (pow e 2)) (* (pow v 2) (+ (* -1/24 (pow e 2)) (* 1/720 (* (pow e 2) (pow v 2))))))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt e>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* e (+ 1 (* -1 (* e (cos v)))))>
#<alt (* -1 (* (pow e 2) (cos v)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* -1 (* (pow e 2) (cos v)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt (* (pow e 2) (+ (* -1 (cos v)) (/ 1 e)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt (* e v)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>

Calls

114 calls:

Time	Variable		Point	Expression
6.0ms	v	@	0	(* e (- v (* e v)))
1.0ms	v	@	0	(* (/ 1 (* e (* e (- -1 e)))) v)
1.0ms	v	@	inf	(* (/ 1 (* e (* e (- -1 e)))) v)
1.0ms	v	@	-inf	(* e (- v (* e v)))
0.0ms	e	@	-inf	(* e (- v (* e v)))

simplify394.0ms (3.9%)

Memory

-45.9MiB live, 572.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 838×	`lower-fma.f64`
10 838×	`lower-fma.f32`
6 948×	`lower-*.f64`
6 948×	`lower-*.f32`
4 096×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	377	6117
1	1192	5890
2	3597	5839
0	8262	5562

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 448

Calls

Call 1

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

rewrite256.0ms (2.5%)

Memory

36.5MiB live, 470.8MiB allocated

Rules

4 416×	`lower-fma.f32`
4 412×	`lower-fma.f64`
3 840×	`lower-*.f32`
3 818×	`lower-*.f64`
3 714×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	255
0	73	225
1	248	219
2	1601	215
0	8770	215

Stop Event

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

Counts

22 → 788

Calls

Call 1

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

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

eval154.0ms (1.5%)

Memory: -22.1MiB live, 329.1MiB allocated
Compiler: Compiled 24 219 to 2 428 computations (90% saved)

prune154.0ms (1.5%)

Memory

33.5MiB live, 393.9MiB allocated

Pruning

51 alts after pruning (44 fresh and 7 done)

	Pruned	Kept	Total
New	1 243	13	1 256
Fresh	7	31	38
Picked	3	2	5
Done	0	5	5
Total	1 253	51	1 304

Accuracy

100.0%

Counts

1 304 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.4%	(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	91.7%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) (.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))))
	97.0%	(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
	99.3%	(/.f64 (sin.f64 v) (*.f64 (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
	97.1%	(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
	53.2%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
	51.7%	(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
	95.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
	97.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
	51.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) #s(literal 1 binary64))) v)))
	50.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
	98.5%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
	51.8%	(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
	98.3%	(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) e)
	51.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
	50.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
	61.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (.f64 (fma.f64 (.f64 e (neg.f64 e)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64)) (.f64 e (neg.f64 e))) (sin.f64 v)) (/.f64 #s(literal -1 binary64) (fma.f64 e (.f64 e (cos.f64 v)) e))))
	98.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) e))
	34.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (.f64 e (.f64 e e)) (/.f64 #s(literal 1 binary64) (.f64 e e)) (.f64 (.f64 (cos.f64 v) (neg.f64 e)) e))))
✓	98.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
	66.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (/.f64 (-.f64 (.f64 (neg.f64 (.f64 (.f64 e #s(approx (cos v) #s(literal 1 binary64))) e)) (neg.f64 (.f64 (.f64 e #s(approx (cos v) #s(literal 1 binary64))) e))) (.f64 e e)) (-.f64 (neg.f64 (.f64 (*.f64 e #s(approx (cos v) #s(literal 1 binary64))) e)) e))))
✓	98.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))
✓	97.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) (neg.f64 e) #s(literal 1 binary64)) e)))
	97.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
	28.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (/.f64 (/.f64 v (.f64 e (-.f64 #s(literal -1 binary64) e))) e)))
	18.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 #s(approx (/ 1 (* e (* e (- -1 e)))) (/.f64 #s(literal -1 binary64) (*.f64 e e))) v)))
	25.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 e) (.f64 (.f64 e e) (/.f64 v (.f64 e (*.f64 e (-.f64 #s(literal -1 binary64) e)))))))
	26.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e)))) (.f64 (.f64 e (*.f64 e (-.f64 #s(literal -1 binary64) e))) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))))))
	46.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (.f64 e (neg.f64 e)) (*.f64 e (-.f64 #s(literal -1 binary64) e)))))
	16.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (/.f64 (.f64 (.f64 e (.f64 e (.f64 e e))) e) (.f64 e e))) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
	16.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 (.f64 (.f64 e (.f64 e (.f64 e e))) e) (/.f64 #s(literal 1 binary64) (.f64 e e)))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
	20.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (/.f64 (-.f64 (.f64 e e) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) (.f64 e e))) (-.f64 #s(literal -1 binary64) e)))))
	19.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) #s(approx ( (+ (* e e) 0) (- -1 e)) (neg.f64 (*.f64 e e))))))
	50.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)))))
	46.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (.f64 (/.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal -1 binary64) e))))
	51.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ (neg ( e (* e e))) (* (+ (* e e) 0) (- -1 e))) (-.f64 e (*.f64 e e)))))
✓	97.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
	50.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
	50.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
	50.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v (*.f64 v v)) #s(literal -1/6 binary64) v))))
	28.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* (* v v) -1/6)) v) (.f64 (.f64 v v) (.f64 v (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v)))))))))
	27.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* (* v v) -1/6)) v) (.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
	67.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 (.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))))
	40.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 (.f64 (.f64 (-.f64 v (.f64 v e)) (fma.f64 v e v)) e) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))))
✓	51.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e (-.f64 v (.f64 e v)))))
	50.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e #s(approx (- v ( e v)) (*.f64 e (-.f64 (/.f64 v e) v))))))
	29.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
	43.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) #s(approx (* e (- v (* e v))) (.f64 (.f64 e e) (-.f64 (/.f64 v e) v)))))
✓	50.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
	50.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 e (*.f64 v v)) e))))

Compiler

Compiled 2 101 to 750 computations (64.3% saved)

regimes73.0ms (0.7%)

Memory

-26.5MiB live, 99.0MiB allocated

Counts

79 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ (neg ( e (* e e))) (* (+ (* e e) 0) (- -1 e))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ (neg (* e (* e e))) (* (+ (* e e) 0) (- -1 e)))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ (neg ( e (* e e))) (* (+ (* e e) 0) (- -1 e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* (* v v) -1/6)) v) (.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 e (*.f64 v v)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v (*.f64 v v)) #s(literal -1/6 binary64) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) #s(approx (* e (- v (* e v))) (.f64 (.f64 e e) (-.f64 (/.f64 v e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e #s(approx (- v ( e v)) (*.f64 e (-.f64 (/.f64 v e) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (.f64 e (neg.f64 e)) (*.f64 e (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) #s(approx ( (+ (* e e) 0) (- -1 e)) (neg.f64 (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 #s(approx (/ 1 (* e (* e (- -1 e)))) (/.f64 #s(literal -1 binary64) (*.f64 e e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* (* v v) -1/6)) v) (.f64 (.f64 v v) (.f64 v (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v)))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (.f64 (.f64 e e) #s(literal 2/3 binary64))) (-.f64 e (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (.f64 (/.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 e) (.f64 (.f64 e e) (/.f64 v (.f64 e (*.f64 e (-.f64 #s(literal -1 binary64) e)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 v (.f64 e (.f64 e e))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 (.f64 (.f64 (-.f64 v (.f64 v e)) (fma.f64 v e v)) e) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (/.f64 (/.f64 v (.f64 e (-.f64 #s(literal -1 binary64) e))) e)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (/.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (/.f64 (.f64 (.f64 e (.f64 e (.f64 e e))) e) (.f64 e e))) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (/.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 1/36 binary64)) (.f64 v v)) (-.f64 (.f64 (.f64 v v) (*.f64 v #s(literal -1/6 binary64))) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 (.f64 (.f64 e (.f64 e (.f64 e e))) e) (/.f64 #s(literal 1 binary64) (.f64 e e)))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 1/36 binary64)) (.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v v) (.f64 v #s(literal -1/6 binary64))) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e)))) (.f64 (.f64 e (*.f64 e (-.f64 #s(literal -1 binary64) e))) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (/.f64 (-.f64 (.f64 e e) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) (.f64 e e))) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) (neg.f64 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) e))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (/.f64 (-.f64 (.f64 (neg.f64 (.f64 (.f64 e #s(approx (cos v) #s(literal 1 binary64))) e)) (neg.f64 (.f64 (.f64 e #s(approx (cos v) #s(literal 1 binary64))) e))) (.f64 e e)) (-.f64 (neg.f64 (.f64 (*.f64 e #s(approx (cos v) #s(literal 1 binary64))) e)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) e)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (.f64 e e) (/.f64 #s(literal 1 binary64) e) (.f64 (.f64 (cos.f64 v) (neg.f64 e)) e))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (.f64 e (.f64 e e)) (/.f64 #s(literal 1 binary64) (.f64 e e)) (.f64 (.f64 (cos.f64 v) (neg.f64 e)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 (.f64 e e) (fma.f64 (sin.f64 v) (neg.f64 (cos.f64 v)) (/.f64 (sin.f64 v) e)))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (fma.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (.f64 (fma.f64 (.f64 e (neg.f64 e)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) v)))) #s(literal 1 binary64)) (.f64 e (neg.f64 e))) (sin.f64 v)) (/.f64 #s(literal -1 binary64) (fma.f64 e (.f64 e (cos.f64 v)) e))))
(.f64 (/.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))))
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (sin.f64 v) (*.f64 (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))) (.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) e)) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (sin.f64 v))))

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

Calls

3 calls:

25.0ms	v
22.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
22.0ms	e

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes57.0ms (0.6%)

Memory

2.4MiB live, 79.7MiB allocated

Counts

63 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ (neg ( e (* e e))) (* (+ (* e e) 0) (- -1 e))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ (neg (* e (* e e))) (* (+ (* e e) 0) (- -1 e)))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ (neg ( e (* e e))) (* (+ (* e e) 0) (- -1 e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* (* v v) -1/6)) v) (.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 e (*.f64 v v)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v (*.f64 v v)) #s(literal -1/6 binary64) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) #s(approx (* e (- v (* e v))) (.f64 (.f64 e e) (-.f64 (/.f64 v e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e #s(approx (- v ( e v)) (*.f64 e (-.f64 (/.f64 v e) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (.f64 e (neg.f64 e)) (*.f64 e (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) #s(approx ( (+ (* e e) 0) (- -1 e)) (neg.f64 (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 #s(approx (/ 1 (* e (* e (- -1 e)))) (/.f64 #s(literal -1 binary64) (*.f64 e e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* (* v v) -1/6)) v) (.f64 (.f64 v v) (.f64 v (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v)))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (.f64 (.f64 e e) #s(literal 2/3 binary64))) (-.f64 e (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (.f64 (/.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 e) (.f64 (.f64 e e) (/.f64 v (.f64 e (*.f64 e (-.f64 #s(literal -1 binary64) e)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 v (.f64 e (.f64 e e))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 (.f64 (.f64 (-.f64 v (.f64 v e)) (fma.f64 v e v)) e) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (/.f64 (/.f64 v (.f64 e (-.f64 #s(literal -1 binary64) e))) e)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (/.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (/.f64 (.f64 (.f64 e (.f64 e (.f64 e e))) e) (.f64 e e))) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (/.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 1/36 binary64)) (.f64 v v)) (-.f64 (.f64 (.f64 v v) (*.f64 v #s(literal -1/6 binary64))) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 (.f64 (.f64 e (.f64 e (.f64 e e))) e) (/.f64 #s(literal 1 binary64) (.f64 e e)))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 1/36 binary64)) (.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v v) (.f64 v #s(literal -1/6 binary64))) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e)))) (.f64 (.f64 e (*.f64 e (-.f64 #s(literal -1 binary64) e))) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (/.f64 (-.f64 (.f64 e e) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) (.f64 e e))) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) (neg.f64 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) e))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (/.f64 (-.f64 (.f64 (neg.f64 (.f64 (.f64 e #s(approx (cos v) #s(literal 1 binary64))) e)) (neg.f64 (.f64 (.f64 e #s(approx (cos v) #s(literal 1 binary64))) e))) (.f64 e e)) (-.f64 (neg.f64 (.f64 (*.f64 e #s(approx (cos v) #s(literal 1 binary64))) e)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) e)

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes52.0ms (0.5%)

Memory

18.2MiB live, 57.8MiB allocated

Counts

54 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ (neg ( e (* e e))) (* (+ (* e e) 0) (- -1 e))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ (neg (* e (* e e))) (* (+ (* e e) 0) (- -1 e)))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ (neg ( e (* e e))) (* (+ (* e e) 0) (- -1 e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* (* v v) -1/6)) v) (.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 e (*.f64 v v)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v (*.f64 v v)) #s(literal -1/6 binary64) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) #s(approx (* e (- v (* e v))) (.f64 (.f64 e e) (-.f64 (/.f64 v e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e #s(approx (- v ( e v)) (*.f64 e (-.f64 (/.f64 v e) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (.f64 e (neg.f64 e)) (*.f64 e (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) #s(approx ( (+ (* e e) 0) (- -1 e)) (neg.f64 (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 #s(approx (/ 1 (* e (* e (- -1 e)))) (/.f64 #s(literal -1 binary64) (*.f64 e e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* (* v v) -1/6)) v) (.f64 (.f64 v v) (.f64 v (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v)))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (.f64 (.f64 e e) #s(literal 2/3 binary64))) (-.f64 e (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (.f64 (/.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 e) (.f64 (.f64 e e) (/.f64 v (.f64 e (*.f64 e (-.f64 #s(literal -1 binary64) e)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 v (.f64 e (.f64 e e))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 (.f64 (.f64 (-.f64 v (.f64 v e)) (fma.f64 v e v)) e) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (/.f64 (/.f64 v (.f64 e (-.f64 #s(literal -1 binary64) e))) e)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (/.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (/.f64 (.f64 (.f64 e (.f64 e (.f64 e e))) e) (.f64 e e))) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (/.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 1/36 binary64)) (.f64 v v)) (-.f64 (.f64 (.f64 v v) (*.f64 v #s(literal -1/6 binary64))) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 (.f64 (.f64 e (.f64 e (.f64 e e))) e) (/.f64 #s(literal 1 binary64) (.f64 e e)))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 1/36 binary64)) (.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v v) (.f64 v #s(literal -1/6 binary64))) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e)))) (.f64 (.f64 e (*.f64 e (-.f64 #s(literal -1 binary64) e))) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (/.f64 (-.f64 (.f64 e e) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) (.f64 e e))) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) (neg.f64 e) #s(literal 1 binary64)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (*.f64 e #s(approx (cos v) #s(literal 1 binary64))))) e))

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

Calls

3 calls:

19.0ms	v
15.0ms	e
15.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
98.0%	1	`e`
98.0%	1	`v`
98.0%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes53.0ms (0.5%)

Memory

6.0MiB live, 81.7MiB allocated

Counts

53 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ (neg ( e (* e e))) (* (+ (* e e) 0) (- -1 e))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ (neg (* e (* e e))) (* (+ (* e e) 0) (- -1 e)))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ (neg ( e (* e e))) (* (+ (* e e) 0) (- -1 e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* (* v v) -1/6)) v) (.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 e (*.f64 v v)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v (*.f64 v v)) #s(literal -1/6 binary64) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) #s(approx (* e (- v (* e v))) (.f64 (.f64 e e) (-.f64 (/.f64 v e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e #s(approx (- v ( e v)) (*.f64 e (-.f64 (/.f64 v e) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (.f64 e (neg.f64 e)) (*.f64 e (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) #s(approx ( (+ (* e e) 0) (- -1 e)) (neg.f64 (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 #s(approx (/ 1 (* e (* e (- -1 e)))) (/.f64 #s(literal -1 binary64) (*.f64 e e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* (* v v) -1/6)) v) (.f64 (.f64 v v) (.f64 v (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v)))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (.f64 (.f64 e e) #s(literal 2/3 binary64))) (-.f64 e (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (.f64 (/.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 e) (.f64 (.f64 e e) (/.f64 v (.f64 e (*.f64 e (-.f64 #s(literal -1 binary64) e)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 v (.f64 e (.f64 e e))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 (.f64 (.f64 (-.f64 v (.f64 v e)) (fma.f64 v e v)) e) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (/.f64 (/.f64 v (.f64 e (-.f64 #s(literal -1 binary64) e))) e)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (/.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (/.f64 (.f64 (.f64 e (.f64 e (.f64 e e))) e) (.f64 e e))) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (/.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 1/36 binary64)) (.f64 v v)) (-.f64 (.f64 (.f64 v v) (*.f64 v #s(literal -1/6 binary64))) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 (.f64 (.f64 e (.f64 e (.f64 e e))) e) (/.f64 #s(literal 1 binary64) (.f64 e e)))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 1/36 binary64)) (.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v v) (.f64 v #s(literal -1/6 binary64))) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e)))) (.f64 (.f64 e (*.f64 e (-.f64 #s(literal -1 binary64) e))) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (/.f64 (-.f64 (.f64 e e) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) (.f64 e e))) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) #s(approx (+ ( (cos v) (* e (neg e))) e) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (.f64 (fma.f64 #s(approx (cos v) #s(literal 1 binary64)) (neg.f64 e) #s(literal 1 binary64)) e)))

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

Calls

3 calls:

18.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
17.0ms	e
15.0ms	v

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes49.0ms (0.5%)

Memory

-16.6MiB live, 67.4MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ (neg ( e (* e e))) (* (+ (* e e) 0) (- -1 e))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ (neg (* e (* e e))) (* (+ (* e e) 0) (- -1 e)))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ (neg ( e (* e e))) (* (+ (* e e) 0) (- -1 e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* (* v v) -1/6)) v) (.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 e (*.f64 v v)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v (*.f64 v v)) #s(literal -1/6 binary64) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) #s(approx (* e (- v (* e v))) (.f64 (.f64 e e) (-.f64 (/.f64 v e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e #s(approx (- v ( e v)) (*.f64 e (-.f64 (/.f64 v e) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (.f64 e (neg.f64 e)) (*.f64 e (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) #s(approx ( (+ (* e e) 0) (- -1 e)) (neg.f64 (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 #s(approx (/ 1 (* e (* e (- -1 e)))) (/.f64 #s(literal -1 binary64) (*.f64 e e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* (* v v) -1/6)) v) (.f64 (.f64 v v) (.f64 v (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v)))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (.f64 (.f64 e e) #s(literal 2/3 binary64))) (-.f64 e (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (.f64 (/.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 e) (.f64 (.f64 e e) (/.f64 v (.f64 e (*.f64 e (-.f64 #s(literal -1 binary64) e)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 v (.f64 e (.f64 e e))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 (.f64 (.f64 (-.f64 v (.f64 v e)) (fma.f64 v e v)) e) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (/.f64 (/.f64 v (.f64 e (-.f64 #s(literal -1 binary64) e))) e)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (/.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (/.f64 (.f64 (.f64 e (.f64 e (.f64 e e))) e) (.f64 e e))) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (/.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 1/36 binary64)) (.f64 v v)) (-.f64 (.f64 (.f64 v v) (*.f64 v #s(literal -1/6 binary64))) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 (.f64 (.f64 e (.f64 e (.f64 e e))) e) (/.f64 #s(literal 1 binary64) (.f64 e e)))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 1/36 binary64)) (.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v v) (.f64 v #s(literal -1/6 binary64))) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e)))) (.f64 (.f64 e (*.f64 e (-.f64 #s(literal -1 binary64) e))) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (/.f64 (-.f64 (.f64 e e) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) (.f64 e e))) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))

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

Calls

3 calls:

16.0ms	e
15.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
14.0ms	v

Results

Accuracy	Segments	Branch
97.2%	1	`e`
97.2%	1	`v`
97.2%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes46.0ms (0.5%)

Memory

19.3MiB live, 57.5MiB allocated

Counts

50 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ (neg ( e (* e e))) (* (+ (* e e) 0) (- -1 e))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ (neg (* e (* e e))) (* (+ (* e e) 0) (- -1 e)))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ (neg ( e (* e e))) (* (+ (* e e) 0) (- -1 e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (/.f64 v (+.f64 e #s(literal 1 binary64)))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* (* v v) -1/6)) v) (.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 e (*.f64 v v)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (.f64 v (*.f64 v v)) #s(literal -1/6 binary64) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) #s(approx (* e (- v (* e v))) (.f64 (.f64 e e) (-.f64 (/.f64 v e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e #s(approx (- v ( e v)) (*.f64 e (-.f64 (/.f64 v e) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) #s(approx (/ (+ e 1) e) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (.f64 e (neg.f64 e)) (*.f64 e (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) #s(approx ( (+ (* e e) 0) (- -1 e)) (neg.f64 (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 #s(approx (/ 1 (* e (* e (- -1 e)))) (/.f64 #s(literal -1 binary64) (*.f64 e e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) #s(approx (+ ( v (* (* v v) -1/6)) v) (.f64 (.f64 v v) (.f64 v (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v)))))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (+ (* (cos v) (* e (neg e))) e)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 e #s(literal -1/6 binary64) (.f64 (.f64 e e) #s(literal 2/3 binary64))) (-.f64 e (*.f64 e e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (.f64 (/.f64 (*.f64 e e) (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 e) (.f64 (.f64 e e) (/.f64 v (.f64 e (*.f64 e (-.f64 #s(literal -1 binary64) e)))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (*.f64 v v)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 v (.f64 e (.f64 e e))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 e #s(literal 1 binary64)) (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 (.f64 (.f64 (-.f64 v (.f64 v e)) (fma.f64 v e v)) e) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e)))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (neg.f64 (.f64 e (.f64 e e))) (/.f64 (/.f64 v (.f64 e (-.f64 #s(literal -1 binary64) e))) e)))
(/.f64 e #s(approx (/ (+ (* e (cos v)) 1) (sin v)) (/.f64 (fma.f64 v (*.f64 v (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64)))) (+.f64 e #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (/.f64 (.f64 v e) (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* e (cos v)) 1) (* e (sin v))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (/.f64 (.f64 (.f64 e (.f64 e (.f64 e e))) e) (.f64 e e))) (*.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (/.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 1/36 binary64)) (.f64 v v)) (-.f64 (.f64 (.f64 v v) (*.f64 v #s(literal -1/6 binary64))) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 (.f64 (.f64 e (.f64 e (.f64 e e))) e) (/.f64 #s(literal 1 binary64) (.f64 e e)))) (.f64 (fma.f64 e e #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 e #s(approx (sin v) (.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v v)) (.f64 v (.f64 v v))) #s(literal 1/36 binary64)) (.f64 v v)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v v) (.f64 v #s(literal -1/6 binary64))) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))) (.f64 e (.f64 e (-.f64 #s(literal -1 binary64) e)))) (.f64 (.f64 e (*.f64 e (-.f64 #s(literal -1 binary64) e))) (-.f64 (/.f64 #s(literal -1 binary64) e) #s(literal 1 binary64))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (/.f64 (neg.f64 (.f64 e (.f64 e e))) (.f64 (/.f64 (-.f64 (.f64 e e) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) (.f64 e e))) (-.f64 #s(literal -1 binary64) e)))))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.2%	1	`e`
53.2%	1	`v`
53.2%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes39.0ms (0.4%)

Memory

-29.1MiB live, 47.9MiB allocated

Counts

40 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.8%	1	`e`
51.8%	1	`v`
51.8%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes13.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.8%	1	`v`
51.8%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
51.8%	1	`e`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes14.0ms (0.1%)

Memory

-23.0MiB live, 18.2MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	v
4.0ms	e
4.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
51.6%	1	`v`
51.6%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
51.6%	1	`e`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes9.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) (* (+ (* (cos v) (neg e)) 1) e)) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ e (+ 1 e)) (-.f64 e (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v #s(approx (/ (neg ( e (* e e))) (* (+ (* e e) 0) (- -1 e))) (-.f64 e (*.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ e (+ 1 e))) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* v (/ (neg (* e (* e e))) (* (+ (* e e) 0) (- -1 e)))) (-.f64 v (/.f64 v e))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
51.3%	1	`v`
51.3%	1	`e`
51.3%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Accuracy

Total -14.6b remaining (-46.3%)

Threshold costs -14.6b (-46.3%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

2.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
1.0ms	e
1.0ms	v

Results

Accuracy	Segments	Branch
50.6%	1	`e`
50.6%	1	`v`
50.6%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify10.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
22×	`+-commutative_binary64`
20×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	245
1	105	245
2	130	245
3	142	245
4	149	245
5	150	245

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.3s (13.2%)

Memory

-6.1MiB live, 880.4MiB allocated

Rules

15 582×	`lower-fma.f64`
15 582×	`lower-fma.f32`
13 080×	`lower-fma.f64`
13 080×	`lower-fma.f32`
12 716×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	438	5675
1	1405	5454
2	4320	5234
0	8920	4968
0	46	255
0	73	225
1	248	219
2	1601	215
0	8770	215
0	9	27
0	15	27
1	42	27
2	241	27
3	2097	27
0	8370	25
0	182	1153
1	554	1138
2	1582	1106
3	5255	1024
0	8371	956
0	393	5623
1	1254	5421
2	3801	5386
0	8858	5101
0	27	147
0	44	142
1	151	142
2	928	142
0	8656	142

Stop Event

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

Compiler

Compiled 368 to 176 computations (52.2% saved)

preprocess137.0ms (1.4%)

Memory: 6.3MiB live, 159.9MiB allocated
Remove: (negabs v)
Compiler: Compiled 484 to 252 computations (47.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze7.0ms (0.1%)

sample2.2s (21.6%)

explain114.0ms (1.1%)

preprocess76.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize48.0ms (0.5%)

series10.0ms (0.1%)

simplify417.0ms (4.1%)

rewrite349.0ms (3.5%)

eval53.0ms (0.5%)

prune59.0ms (0.6%)

simplify485.0ms (4.8%)

localize80.0ms (0.8%)

series23.0ms (0.2%)

simplify433.0ms (4.3%)

rewrite388.0ms (3.9%)

eval232.0ms (2.3%)

prune227.0ms (2.3%)

simplify168.0ms (1.7%)

localize112.0ms (1.1%)

series22.0ms (0.2%)

simplify377.0ms (3.8%)

rewrite292.0ms (2.9%)

eval320.0ms (3.2%)

prune282.0ms (2.8%)

simplify257.0ms (2.6%)

localize183.0ms (1.8%)

series21.0ms (0.2%)

simplify394.0ms (3.9%)

rewrite256.0ms (2.5%)

eval154.0ms (1.5%)

prune154.0ms (1.5%)

regimes73.0ms (0.7%)

regimes57.0ms (0.6%)

regimes52.0ms (0.5%)

regimes53.0ms (0.5%)

regimes49.0ms (0.5%)

regimes46.0ms (0.5%)

regimes39.0ms (0.4%)

regimes13.0ms (0.1%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

simplify10.0ms (0.1%)

soundness1.3s (13.2%)

preprocess137.0ms (1.4%)

end0.0ms (0%)

Profiling