Metrics for Trigonometry A

analyze7.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.4s (14.3%)

Memory

4.4MiB live, 1 947.0MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 761.0ms

ival-sin: 255.0ms (33.5% of total)

ival-cos: 204.0ms (26.8% of total)

ival-mult: 124.0ms (16.3% of total)

ival-div: 69.0ms (9.1% of total)

ival-<=: 43.0ms (5.7% of total)

ival-add: 39.0ms (5.1% of total)

ival-and: 11.0ms (1.4% of total)

exact: 11.0ms (1.4% of total)

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

Bogosity

preprocess73.0ms (0.7%)

Memory

9.2MiB live, 48.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs v)

explain152.0ms (1.6%)

Memory

-5.8MiB live, 241.1MiB 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

66.0ms

512×

valid

Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-sin: 14.0ms (36.6% of total)

ival-cos: 11.0ms (28.7% of total)

ival-mult: 6.0ms (15.7% of total)

ival-div: 3.0ms (7.8% of total)

ival-add: 2.0ms (5.2% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify7.0ms (0.1%)

Memory

-26.8MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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)

localize35.0ms (0.4%)

Memory

32.2MiB live, 70.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 v)
✓	accuracy	100.0%	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
✓	accuracy	99.8%	(*.f64 e (sin.f64 v))
✓	accuracy	99.8%	(*.f64 e (cos.f64 v))

Samples

25.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 6.0ms (34.2% of total)

ival-cos: 5.0ms (28.5% of total)

ival-mult: 3.0ms (17.1% of total)

ival-div: 1.0ms (5.7% of total)

ival-add: 1.0ms (5.7% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-13.2MiB live, 29.7MiB allocated

Counts

6 → 120

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))>
#<alt (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))>
#<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

30 calls:

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

rewrite387.0ms (4%)

Memory

20.0MiB live, 538.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 347

Calls

Call 1

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

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

simplify464.0ms (4.8%)

Memory

-17.0MiB live, 629.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 118

Calls

Call 1

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

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

eval60.0ms (0.6%)

Memory: 2.1MiB live, 121.5MiB allocated
Compiler: Compiled 13 512 to 1 267 computations (90.6% saved)

prune58.0ms (0.6%)

Memory

21.9MiB live, 135.7MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

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

Accuracy

99.9%

Counts

466 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.7%	(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))
▶	99.8%	(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
	99.5%	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
▶	46.7%	(/.f64 (*.f64 e 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)))
▶	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
	99.7%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
▶	99.5%	(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
	46.3%	(.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
▶	98.9%	(*.f64 e (sin.f64 v))

Compiler

Compiled 270 to 170 computations (37% saved)

simplify512.0ms (5.2%)

Memory

-32.7MiB live, 533.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

12 712×	`lower-fma.f32`
12 706×	`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	18	119
0	36	117
1	69	117
2	119	117
3	259	117
4	516	117
5	687	117
6	902	117
7	1216	117
8	1612	117
9	2681	114
10	3970	114
11	4733	114
12	5096	114
13	5287	114
14	5341	114
15	5361	114
16	6008	114
17	6737	114
18	7172	114
19	7297	114
20	7331	114
21	7349	114
22	7369	114
23	7521	114
24	7525	114
25	7525	114
0	8887	114

Stop Event

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

Calls

Call 1

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

localize87.0ms (0.9%)

Memory

0.4MiB live, 117.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 v)
✓	accuracy	99.8%	(*.f64 e (sin.f64 v))
✓	accuracy	99.8%	(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
✓	accuracy	100.0%	(neg.f64 e)
✓	accuracy	100.0%	(sin.f64 v)
✓	accuracy	100.0%	(cos.f64 v)
✓	accuracy	99.8%	(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
✓	accuracy	100.0%	(sin.f64 v)
✓	accuracy	99.8%	(*.f64 e (sin.f64 v))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) e)
✓	accuracy	100.0%	(*.f64 e v)
✓	accuracy	100.0%	(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
✓	accuracy	100.0%	(sin.f64 v)
✓	accuracy	100.0%	(cos.f64 v)
✓	accuracy	100.0%	(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
✓	accuracy	99.8%	(*.f64 e (sin.f64 v))

Samples

61.0ms

256×

valid

Compiler

Compiled 128 to 23 computations (82% saved)

Precisions

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

ival-add: 11.0ms (27.2% of total)

ival-mult: 10.0ms (24.7% of total)

ival-div: 6.0ms (14.8% of total)

ival-sin: 6.0ms (14.8% of total)

ival-cos: 5.0ms (12.4% of total)

ival-neg: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.4%)

Memory

28.4MiB live, 66.7MiB allocated

Counts

14 → 288

Calls

Call 1

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

72 calls:

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

rewrite347.0ms (3.6%)

Memory

-25.0MiB live, 531.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 802×	`lower-fma.f32`
6 796×	`lower-fma.f64`
5 162×	`lower-*.f32`
5 154×	`lower-*.f64`
3 738×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	84
0	36	82
1	143	82
2	773	82
3	7544	82
0	8647	82

Stop Event

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

Counts

14 → 1 069

Calls

Call 1

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

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

simplify443.0ms (4.5%)

Memory

22.0MiB live, 626.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 218×	`lower-fma.f64`
14 218×	`lower-fma.f32`
6 624×	`lower-*.f64`
6 624×	`lower-*.f32`
5 728×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	350	3281
1	1114	3148
2	3384	3046
0	8663	2879

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 282

Calls

Call 1

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

eval208.0ms (2.1%)

Memory: -10.5MiB live, 343.3MiB allocated
Compiler: Compiled 31 985 to 2 759 computations (91.4% saved)

prune181.0ms (1.9%)

Memory

-7.4MiB live, 307.6MiB allocated

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	1 497	18	1 515
Fresh	4	1	5
Picked	1	4	5
Done	0	0	0
Total	1 502	23	1 525

Accuracy

100.0%

Counts

1 525 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.9%	(/.f64 (.f64 (sin.f64 v) (.f64 (fma.f64 (neg.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)) (neg.f64 (.f64 e e)))) (neg.f64 (fma.f64 (cos.f64 v) (.f64 e e) e)))
✓	99.8%	(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
▶	46.7%	(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
✓	46.7%	(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
▶	99.7%	(/.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)))
	46.6%	(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
	47.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
	47.1%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (-.f64 (fma.f64 v (.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))
	98.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
	45.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
▶	97.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
	2.4%	(-.f64 v (/.f64 v e))
	65.6%	(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
✓	99.5%	(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
	99.2%	(.f64 (sin.f64 v) (-.f64 e (.f64 e e)))
	99.2%	(.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 (.f64 e e)) e) (.f64 (neg.f64 (fma.f64 (cos.f64 v) (.f64 e e) e)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) (.f64 e e) e))))))
	45.7%	(.f64 v (fma.f64 (.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
	46.4%	(.f64 v (-.f64 e (.f64 e e)))
▶	45.6%	(.f64 e (fma.f64 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
	46.5%	(.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))
✓	98.9%	(*.f64 e (sin.f64 v))
▶	46.0%	(*.f64 e v)

Compiler

Compiled 624 to 366 computations (41.3% saved)

simplify438.0ms (4.5%)

Memory

40.0MiB live, 715.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 v)
✓	cost-diff	0	(*.f64 e (sin.f64 v))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
✓	cost-diff	0	(fma.f64 e e #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 e v)
✓	cost-diff	0	(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
✓	cost-diff	1088	(/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 v #s(literal -1/6 binary64))
✓	cost-diff	0	(.f64 v (.f64 v #s(literal -1/6 binary64)))
✓	cost-diff	0	(fma.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64))) v)
✓	cost-diff	0	(.f64 e (fma.f64 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
✓	cost-diff	0	(*.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

24 642×	`lower-fma.f32`
24 636×	`lower-fma.f64`
3 858×	`lower-*.f32`
3 848×	`lower-*.f64`
2 420×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	119
0	42	115
1	76	115
2	146	107
3	364	103
4	952	103
5	2963	103
6	6841	103
0	8322	101

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

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

localize97.0ms (1%)

Memory

-22.5MiB live, 137.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 v)
✓	accuracy	99.8%	(*.f64 e (sin.f64 v))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
✓	accuracy	100.0%	(+.f64 e #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 e v)
✓	accuracy	100.0%	(/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
✓	accuracy	99.9%	(fma.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64))) v)
✓	accuracy	99.8%	(.f64 v (.f64 v #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 v #s(literal -1/6 binary64))
✓	accuracy	91.9%	(.f64 e (fma.f64 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
✓	accuracy	100.0%	(*.f64 e v)
✓	accuracy	100.0%	(sin.f64 v)
✓	accuracy	100.0%	(cos.f64 v)
✓	accuracy	100.0%	(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
✓	accuracy	99.7%	(/.f64 (sin.f64 v) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e))

Samples

59.0ms

256×

valid

Compiler

Compiled 129 to 27 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 12.0ms (27.1% of total)

ival-div: 11.0ms (24.8% of total)

ival-sin: 7.0ms (15.8% of total)

ival-add: 6.0ms (13.5% of total)

ival-cos: 5.0ms (11.3% of total)

const: 4.0ms (9% of total)

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

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

exact: 0.0ms (0% of total)

series39.0ms (0.4%)

Memory

8.9MiB live, 76.9MiB allocated

Counts

17 → 312

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 (*.f64 e v)>
#<alt (.f64 e (fma.f64 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))>
#<alt (fma.f64 v (.f64 v (.f64 v #s(literal -1/6 binary64))) v)>
#<alt (.f64 v (.f64 v #s(literal -1/6 binary64)))>
#<alt (*.f64 v #s(literal -1/6 binary64))>
#<alt (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64)))>
#<alt (/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))>
#<alt (fma.f64 e e #s(literal -1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))>
#<alt (*.f64 e (sin.f64 v))>
#<alt (cos.f64 v)>
#<alt (+.f64 e #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))))>
#<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 e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (cos v)>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (+ (cos v) (/ 1 e))>
#<alt (/ (+ 1 e) e)>
#<alt (+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))>
#<alt (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<alt (/ (+ 1 (* e (cos v))) e)>
#<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 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 (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e (+ v (* -1/6 (pow v 3))))>
#<alt (* e v)>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* v (+ e (* -1/6 (* e (pow v 2)))))>
#<alt (* -1/6 (* e (pow v 3)))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))>
#<alt (* -1/6 (* e (pow v 3)))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<alt (* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))>
#<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 (* -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 (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<alt (* -1/6 v)>
#<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 v)>
#<alt (* e (+ v (* -1 (* e v))))>
#<alt (* e (+ v (* e (+ (* -1 v) (* e v)))))>
#<alt (* e (+ v (* e (+ (* -1 v) (* e (- (* -1 (* e v)) (* -1 v)))))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (+ (* -1 (/ v e)) (/ v (pow e 2))))>
#<alt (- (+ v (+ (* -1 (/ v e)) (* -1 (/ v (pow e 3))))) (* -1 (/ v (pow e 2))))>
#<alt v>
#<alt (+ v (* -1 (/ v e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))>
#<alt (+ v (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e))) e)))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt (/ (* e (* v (- e 1))) (- (pow e 2) 1))>
#<alt -1>
#<alt (- (pow e 2) 1)>
#<alt (- (pow e 2) 1)>
#<alt (- (pow e 2) 1)>
#<alt (pow e 2)>
#<alt (* (pow e 2) (- 1 (/ 1 (pow e 2))))>
#<alt (* (pow e 2) (- 1 (/ 1 (pow e 2))))>
#<alt (* (pow e 2) (- 1 (/ 1 (pow e 2))))>
#<alt (pow e 2)>
#<alt (* (pow e 2) (- 1 (/ 1 (pow e 2))))>
#<alt (* (pow e 2) (- 1 (/ 1 (pow e 2))))>
#<alt (* (pow e 2) (- 1 (/ 1 (pow e 2))))>
#<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 (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e v))>
#<alt (/ (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)) v)>
#<alt (/ (+ (* (pow v 2) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)) v)>
#<alt (/ (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 31/15120 (/ (pow v 2) e)) (* 7/360 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)) v)>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* e (sin v)))>
#<alt (/ 1 (* 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 (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 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>
#<alt (- e 1)>
#<alt (- e 1)>
#<alt (- e 1)>
#<alt e>
#<alt (* e (- 1 (/ 1 e)))>
#<alt (* e (- 1 (/ 1 e)))>
#<alt (* e (- 1 (/ 1 e)))>
#<alt e>
#<alt (* -1 (* e (- (/ 1 e) 1)))>
#<alt (* -1 (* e (- (/ 1 e) 1)))>
#<alt (* -1 (* e (- (/ 1 e) 1)))>

Calls

78 calls:

Time	Variable		Point	Expression
7.0ms	e	@	inf	(* e (+ (* v (* v (* v -1/6))) v))
3.0ms	v	@	-inf	(/ 1 (* e (sin v)))
1.0ms	v	@	0	(/ (* e v) (/ (+ (* e e) -1) (+ e -1)))
1.0ms	e	@	0	(* e (+ (* v (* v (* v -1/6))) v))
1.0ms	v	@	inf	(/ (* e v) (/ (+ (* e e) -1) (+ e -1)))

rewrite365.0ms (3.7%)

Memory

-17.2MiB live, 640.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 908×	`lower-fma.f32`
7 902×	`lower-fma.f64`
5 606×	`lower-*.f32`
5 596×	`lower-*.f64`
4 010×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	100
0	42	96
1	163	84
2	1062	84
0	8561	82

Stop Event

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

Counts

17 → 1 157

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

simplify384.0ms (3.9%)

Memory

27.0MiB live, 499.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 142×	`lower-fma.f64`
11 142×	`lower-fma.f32`
5 180×	`lower-*.f64`
5 180×	`lower-*.f32`
3 704×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	297	2512
1	900	2471
2	2559	2431
3	7261	2419
0	8256	2273

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 304

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 v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e v)
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e (+ v (* -1/6 (pow v 3))))
(* e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* -1/6 (* e (pow v 3)))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 3)))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* -1/6 (pow v 3))
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6))
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6))
(* -1/6 (pow v 3))
(* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))
(* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))
(* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 (pow v 2))
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
(* -1/6 v)
1
(+ 1 e)
(+ 1 e)
(+ 1 e)
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
e
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e (+ 1 (/ 1 e)))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (+ (* -1 v) (* e v)))))
(* e (+ v (* e (+ (* -1 v) (* e (- (* -1 (* e v)) (* -1 v)))))))
v
(+ v (* -1 (/ v e)))
(+ v (+ (* -1 (/ v e)) (/ v (pow e 2))))
(- (+ v (+ (* -1 (/ v e)) (* -1 (/ v (pow e 3))))) (* -1 (/ v (pow e 2))))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e))) e)))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
-1
(- (pow e 2) 1)
(- (pow e 2) 1)
(- (pow e 2) 1)
(pow e 2)
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(pow e 2)
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(* 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))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e v))
(/ (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)) v)
(/ (+ (* (pow v 2) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/ (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 31/15120 (/ (pow v 2) e)) (* 7/360 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* e (sin v)))
(/ 1 (* 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 (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))
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
(* e (- 1 (/ 1 e)))
(* e (- 1 (/ 1 e)))
(* e (- 1 (/ 1 e)))
e
(* -1 (* e (- (/ 1 e) 1)))
(* -1 (* e (- (/ 1 e) 1)))
(* -1 (* e (- (/ 1 e) 1)))

Outputs
(/ (* 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 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 (.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 (.f64 e e) #s(literal 1/2 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 e e)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 (.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 (/.f64 (.f64 e #s(literal -1/5040 binary64)) (+.f64 e #s(literal 1 binary64))) (fma.f64 e (fma.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 (.f64 e e) #s(literal 1/2 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 e e)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 (fma.f64 e (/.f64 #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)))) (/.f64 (.f64 (.f64 e e) #s(literal -1/720 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 (.f64 e e) #s(literal 1/2 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 e e)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 e (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))) (/.f64 (.f64 (.f64 e e) #s(literal 1/2 binary64)) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 e (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(.f64 e (fma.f64 e (.f64 (sin.f64 v) (*.f64 (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 (.f64 (neg.f64 e) (.f64 (sin.f64 v) (.f64 (cos.f64 v) (.f64 (cos.f64 v) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))) (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(+.f64 (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (.f64 (.f64 e (.f64 e e)) (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) (-.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (-.f64 (/.f64 (sin.f64 v) (.f64 (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) (*.f64 e (pow.f64 (cos.f64 v) #s(literal 4 binary64))))) e)) e))
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 e)
(/.f64 #s(literal 1 binary64) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(cos v)
(cos.f64 v)
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(cos v)
(cos.f64 v)
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(+ (cos v) (/ 1 e))
(+.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e))
(/ (+ 1 e) e)
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(+ 1 (+ (* -1/2 (pow v 2)) (/ 1 e)))
(fma.f64 (*.f64 v v) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(+ 1 (+ (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)) (/ 1 e)))
(fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(+ 1 (+ (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)) (/ 1 e)))
(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)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
(/ (+ 1 (* e (cos v))) e)
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e)
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 e #s(literal 1 binary64))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 e (fma.f64 (*.f64 v 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 #s(literal 1 binary64) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 e #s(literal -1/2 binary64))) (+.f64 e #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 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)
(* e (+ v (* -1/6 (pow v 3))))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(* e (+ v (* -1/6 (pow v 3))))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(* e (+ v (* -1/6 (pow v 3))))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(* e (+ v (* -1/6 (pow v 3))))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(* e (+ v (* -1/6 (pow v 3))))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(* e (+ v (* -1/6 (pow v 3))))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(* e (+ v (* -1/6 (pow v 3))))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(* e (+ v (* -1/6 (pow v 3))))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(* e (+ v (* -1/6 (pow v 3))))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(* e (+ v (* -1/6 (pow v 3))))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(* e (+ v (* -1/6 (pow v 3))))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(* e (+ v (* -1/6 (pow v 3))))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) 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 (* -1/6 (* e (pow v 2)))))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(* -1/6 (* e (pow v 3)))
(.f64 e (.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(.f64 (.f64 v v) (.f64 v (fma.f64 e #s(literal -1/6 binary64) (/.f64 e (.f64 v v)))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(.f64 (.f64 v v) (.f64 v (fma.f64 e #s(literal -1/6 binary64) (/.f64 e (.f64 v v)))))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(.f64 (.f64 v v) (.f64 v (fma.f64 e #s(literal -1/6 binary64) (/.f64 e (.f64 v v)))))
(* -1/6 (* e (pow v 3)))
(.f64 e (.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(.f64 (.f64 v v) (.f64 v (fma.f64 e #s(literal -1/6 binary64) (/.f64 e (.f64 v v)))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(.f64 (.f64 v v) (.f64 v (fma.f64 e #s(literal -1/6 binary64) (/.f64 e (.f64 v v)))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))
(.f64 (.f64 v v) (.f64 v (fma.f64 e #s(literal -1/6 binary64) (/.f64 e (.f64 v v)))))
v
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v)
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v)
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v)
(* -1/6 (pow v 3))
(.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)))
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6))
(.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v))))
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6))
(.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v))))
(* (pow v 3) (- (/ 1 (pow v 2)) 1/6))
(.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v))))
(* -1/6 (pow v 3))
(.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)))
(* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))
(.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v))))
(* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))
(.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v))))
(* -1 (* (pow v 3) (- 1/6 (/ 1 (pow v 2)))))
(.f64 (.f64 v (.f64 v v)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 v v))))
(* -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))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
(* -1/6 v)
(*.f64 v #s(literal -1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
e
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
e
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e (+ 1 (/ 1 e)))
(+.f64 e #s(literal 1 binary64))
(* e v)
(*.f64 e v)
(* e (+ v (* -1 (* e v))))
(.f64 e (-.f64 v (.f64 e v)))
(* e (+ v (* e (+ (* -1 v) (* e v)))))
(.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))
(* e (+ v (* e (+ (* -1 v) (* e (- (* -1 (* e v)) (* -1 v)))))))
(.f64 e (.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 v (*.f64 e v))))
v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
(+ v (+ (* -1 (/ v e)) (/ v (pow e 2))))
(+.f64 v (/.f64 (-.f64 (/.f64 v e) v) e))
(- (+ v (+ (* -1 (/ v e)) (* -1 (/ v (pow e 3))))) (* -1 (/ v (pow e 2))))
(+.f64 v (/.f64 (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v) e))
v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+.f64 v (/.f64 (-.f64 (/.f64 v e) v) e))
(+ v (* -1 (/ (+ v (* -1 (/ (- (* -1 (/ v e)) (* -1 v)) e))) e)))
(+.f64 v (/.f64 (-.f64 (/.f64 (-.f64 v (/.f64 v e)) e) v) e))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/.f64 (.f64 e (-.f64 (.f64 e v) v)) (fma.f64 e e #s(literal -1 binary64)))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/.f64 (.f64 e (-.f64 (.f64 e v) v)) (fma.f64 e e #s(literal -1 binary64)))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/.f64 (.f64 e (-.f64 (.f64 e v) v)) (fma.f64 e e #s(literal -1 binary64)))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/.f64 (.f64 e (-.f64 (.f64 e v) v)) (fma.f64 e e #s(literal -1 binary64)))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/.f64 (.f64 e (-.f64 (.f64 e v) v)) (fma.f64 e e #s(literal -1 binary64)))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/.f64 (.f64 e (-.f64 (.f64 e v) v)) (fma.f64 e e #s(literal -1 binary64)))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/.f64 (.f64 e (-.f64 (.f64 e v) v)) (fma.f64 e e #s(literal -1 binary64)))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/.f64 (.f64 e (-.f64 (.f64 e v) v)) (fma.f64 e e #s(literal -1 binary64)))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/.f64 (.f64 e (-.f64 (.f64 e v) v)) (fma.f64 e e #s(literal -1 binary64)))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/.f64 (.f64 e (-.f64 (.f64 e v) v)) (fma.f64 e e #s(literal -1 binary64)))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/.f64 (.f64 e (-.f64 (.f64 e v) v)) (fma.f64 e e #s(literal -1 binary64)))
(/ (* e (* v (- e 1))) (- (pow e 2) 1))
(/.f64 (.f64 e (-.f64 (.f64 e v) v)) (fma.f64 e e #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (pow e 2) 1)
(fma.f64 e e #s(literal -1 binary64))
(- (pow e 2) 1)
(fma.f64 e e #s(literal -1 binary64))
(- (pow e 2) 1)
(fma.f64 e e #s(literal -1 binary64))
(pow e 2)
(*.f64 e e)
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (.f64 e e)) e))
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (.f64 e e)) e))
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (.f64 e e)) e))
(pow e 2)
(*.f64 e e)
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (.f64 e e)) e))
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (.f64 e e)) e))
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (.f64 e e)) 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))
(* 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 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 e (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64))) e))
(* 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))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e v))
(/.f64 #s(literal 1 binary64) (*.f64 e v))
(/ (+ (* 1/6 (/ (pow v 2) e)) (/ 1 e)) v)
(/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v)
(/ (+ (* (pow v 2) (+ (* 7/360 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/.f64 (fma.f64 (/.f64 (.f64 v v) e) (fma.f64 (.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) e)) v)
(/ (+ (* (pow v 2) (+ (* (pow v 2) (+ (* 31/15120 (/ (pow v 2) e)) (* 7/360 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)) v)
(/.f64 (fma.f64 (.f64 v v) (fma.f64 (/.f64 (.f64 v v) e) (fma.f64 (*.f64 v v) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (/.f64 #s(literal 1/6 binary64) e)) (/.f64 #s(literal 1 binary64) e)) v)
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.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 (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 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 e (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64))) e))
(* 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))
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 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
-1
#s(literal -1 binary64)
(- e 1)
(+.f64 e #s(literal -1 binary64))
(- e 1)
(+.f64 e #s(literal -1 binary64))
(- e 1)
(+.f64 e #s(literal -1 binary64))
e
(* e (- 1 (/ 1 e)))
(+.f64 e #s(literal -1 binary64))
(* e (- 1 (/ 1 e)))
(+.f64 e #s(literal -1 binary64))
(* e (- 1 (/ 1 e)))
(+.f64 e #s(literal -1 binary64))
e
(* -1 (* e (- (/ 1 e) 1)))
(+.f64 e #s(literal -1 binary64))
(* -1 (* e (- (/ 1 e) 1)))
(+.f64 e #s(literal -1 binary64))
(* -1 (* e (- (/ 1 e) 1)))
(+.f64 e #s(literal -1 binary64))

eval214.0ms (2.2%)

Memory: -7.4MiB live, 300.9MiB allocated
Compiler: Compiled 30 608 to 3 440 computations (88.8% saved)

prune232.0ms (2.4%)

Memory

-17.0MiB live, 392.0MiB allocated

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	1 499	20	1 519
Fresh	5	9	14
Picked	3	2	5
Done	0	4	4
Total	1 507	35	1 542

Accuracy

100.0%

Counts

1 542 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.7%	(fma.f64 (.f64 v #s(literal -1/6 binary64)) (.f64 (.f64 v v) e) (.f64 v e))
	45.7%	(fma.f64 v e (.f64 v (.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v v)))))
	10.2%	(/.f64 (-.f64 (.f64 v (.f64 e (.f64 v e))) (.f64 (.f64 e e) (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) #s(literal 1/36 binary64))))) (-.f64 (.f64 v e) (.f64 v (.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v v))))))
	60.9%	(/.f64 (.f64 (sin.f64 v) (.f64 (fma.f64 (neg.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)) (neg.f64 (.f64 e e)))) (neg.f64 (fma.f64 (cos.f64 v) (.f64 e e) e)))
✓	99.8%	(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
	41.1%	(/.f64 (.f64 e v) (/.f64 (.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)) e)) (+.f64 e #s(literal -1 binary64))))
▶	6.0%	(/.f64 (.f64 e v) (/.f64 (.f64 e e) (+.f64 e #s(literal -1 binary64))))
	46.4%	(/.f64 (*.f64 e v) (/.f64 #s(literal -1 binary64) (+.f64 e #s(literal -1 binary64))))
✓	46.7%	(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
▶	99.3%	(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (.f64 (.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))
	98.7%	(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
	46.6%	(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
	46.5%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 v v) e) (fma.f64 (.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
	47.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
	97.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
	46.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
	97.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))))
	45.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
✓	97.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
	2.4%	(-.f64 v (/.f64 v e))
▶	45.7%	(.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
	98.7%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) e)
	65.6%	(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
✓	99.5%	(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
▶	99.2%	(.f64 (sin.f64 v) (-.f64 e (.f64 e e)))
	45.7%	(.f64 v (fma.f64 (.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
	45.7%	(.f64 v (fma.f64 e (.f64 #s(literal -1/6 binary64) (*.f64 v v)) e))
	46.4%	(.f64 v (-.f64 e (.f64 e e)))
	45.7%	(.f64 v (+.f64 e (.f64 (.f64 #s(literal -1/6 binary64) (.f64 v v)) e)))
	46.5%	(.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))
▶	46.4%	(.f64 e (-.f64 v (.f64 e v)))
	41.0%	(.f64 e (.f64 (.f64 v (-.f64 v (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v v) #s(literal 1/36 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 v (.f64 (.f64 v (*.f64 v v)) #s(literal 1/6 binary64))))))
	24.2%	(.f64 e (.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64))))
✓	98.9%	(*.f64 e (sin.f64 v))
✓	46.0%	(*.f64 e v)

Compiler

Compiled 931 to 550 computations (40.9% saved)

simplify279.0ms (2.9%)

Memory

17.2MiB live, 364.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 e e)
✓	cost-diff	0	(-.f64 e (*.f64 e e))
✓	cost-diff	0	(sin.f64 v)
✓	cost-diff	0	(.f64 (sin.f64 v) (-.f64 e (.f64 e e)))
✓	cost-diff	0	(*.f64 e e)
✓	cost-diff	0	(/.f64 (*.f64 e e) (+.f64 e #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 e v)
✓	cost-diff	1344	(/.f64 (.f64 e v) (/.f64 (.f64 e e) (+.f64 e #s(literal -1 binary64))))
✓	cost-diff	0	(*.f64 v e)
✓	cost-diff	0	(*.f64 v #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
✓	cost-diff	0	(*.f64 e v)
✓	cost-diff	0	(-.f64 v (*.f64 e v))
✓	cost-diff	0	(.f64 e (-.f64 v (.f64 e v)))
✓	cost-diff	0	(sin.f64 v)
✓	cost-diff	192	(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (.f64 (.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))
✓	cost-diff	1344	(.f64 (.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))
✓	cost-diff	12416	(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (.f64 (.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))

Rules

6 356×	`lower-fma.f32`
6 352×	`lower-fma.f64`
5 288×	`lower-*.f32`
5 270×	`lower-*.f64`
1 974×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	152
0	50	152
1	90	144
2	182	126
3	455	122
4	1226	121
5	2919	121
6	4792	121
7	7752	121
0	8169	120

Stop Event

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

Calls

Call 1

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

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

localize104.0ms (1.1%)

Memory

25.2MiB live, 141.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 e (*.f64 e e))
✓	accuracy	100.0%	(*.f64 e e)
✓	accuracy	100.0%	(sin.f64 v)
✓	accuracy	99.8%	(.f64 (sin.f64 v) (-.f64 e (.f64 e e)))
✓	accuracy	100.0%	(+.f64 e #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 e v)
✓	accuracy	100.0%	(*.f64 e e)
✓	accuracy	67.7%	(/.f64 (.f64 e v) (/.f64 (.f64 e e) (+.f64 e #s(literal -1 binary64))))
✓	accuracy	100.0%	(*.f64 v e)
✓	accuracy	99.9%	(fma.f64 v (*.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓	accuracy	99.5%	(*.f64 v #s(literal -1/6 binary64))
✓	accuracy	97.7%	(.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
✓	accuracy	100.0%	(-.f64 v (*.f64 e v))
✓	accuracy	100.0%	(*.f64 e v)
✓	accuracy	100.0%	(.f64 e (-.f64 v (.f64 e v)))
✓	accuracy	99.8%	(*.f64 e (cos.f64 v))
✓	accuracy	99.7%	(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (.f64 (.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))
✓	accuracy	99.6%	(.f64 (.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))
✓	accuracy	99.1%	(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (.f64 (.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))

Samples

71.0ms

256×

valid

Compiler

Compiled 158 to 31 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 17.0ms (31.6% of total)

ival-sin: 8.0ms (14.9% of total)

ival-div: 6.0ms (11.1% of total)

ival-cos: 6.0ms (11.1% of total)

ival-pow: 6.0ms (11.1% of total)

const: 4.0ms (7.4% of total)

ival-add: 3.0ms (5.6% of total)

ival-sub: 2.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series78.0ms (0.8%)

Memory

-18.3MiB live, 59.0MiB allocated

Counts

18 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
27.0ms	v	@	-inf	(* e (cos v))
20.0ms	e	@	-inf	(/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (* (* e (cos v)) (/ 1 e))))
1.0ms	v	@	0	(/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (* (* e (cos v)) (/ 1 e))))
1.0ms	e	@	0	(* (+ (* v (* v -1/6)) 1) (* v e))
1.0ms	v	@	-inf	(* e (- v (* e v)))

rewrite544.0ms (5.6%)

Memory

-215.5MiB live, 529.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 834×	`lower-fma.f32`
5 830×	`lower-fma.f64`
4 084×	`lower-/.f32`
4 076×	`lower-/.f64`
4 076×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	121
0	50	109
1	184	109
2	1344	93
0	8718	93

Stop Event

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

Counts

18 → 720

Calls

Call 1

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

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

simplify381.0ms (3.9%)

Memory

54.3MiB live, 699.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 424×	`lower-fma.f64`
11 424×	`lower-fma.f32`
5 682×	`lower-*.f64`
5 682×	`lower-*.f32`
3 474×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	307	2545
1	913	2421
2	2593	2323
0	8088	2241

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 338

Calls

Call 1

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

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

eval172.0ms (1.8%)

Memory: -22.2MiB live, 309.9MiB allocated
Compiler: Compiled 19 387 to 2 188 computations (88.7% saved)

prune144.0ms (1.5%)

Memory

-2.8MiB live, 392.7MiB allocated

Pruning

41 alts after pruning (33 fresh and 8 done)

	Pruned	Kept	Total
New	1 118	20	1 138
Fresh	11	13	24
Picked	3	2	5
Done	0	6	6
Total	1 132	41	1 173

Accuracy

100.0%

Counts

1 173 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.7%	(fma.f64 v e (.f64 (.f64 v (.f64 v #s(literal -1/6 binary64))) (.f64 e v)))
	10.2%	(/.f64 (-.f64 (.f64 v (.f64 e (.f64 v e))) (.f64 (.f64 e e) (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) #s(literal 1/36 binary64))))) (-.f64 (.f64 v e) (.f64 v (.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v v))))))
	36.5%	(/.f64 (.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) e) (fma.f64 e v v))
	60.6%	(/.f64 (.f64 (.f64 (-.f64 e (*.f64 e e)) (fma.f64 e e e)) (sin.f64 v)) (fma.f64 e e e))
✓	99.8%	(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
	46.4%	(/.f64 (*.f64 e v) (/.f64 #s(literal -1 binary64) (+.f64 e #s(literal -1 binary64))))
	26.2%	(/.f64 (.f64 e v) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) e)))
	26.4%	(/.f64 (*.f64 e v) (+.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
✓	46.7%	(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
	26.2%	(/.f64 (*.f64 e v) (neg.f64 (-.f64 (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (neg.f64 e)) e)))
	26.4%	(/.f64 (*.f64 e v) (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (neg.f64 e)) e)))
	99.5%	(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)))
	99.0%	(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) #s(literal 1 binary64)))
	98.7%	(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
	46.6%	(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
	46.6%	(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
	47.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
	44.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (.f64 e v))))
	97.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
	46.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
	45.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
✓	97.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
	98.7%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) e)
	45.1%	(.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 v e))
	42.1%	(.f64 (/.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) (+.f64 e #s(literal 1 binary64))) (/.f64 e v))
	35.7%	(.f64 (sin.f64 v) (fma.f64 (.f64 e (.f64 e e)) (/.f64 #s(literal 1 binary64) (fma.f64 e e (.f64 (.f64 e e) (fma.f64 e e e)))) (neg.f64 (/.f64 (.f64 (.f64 e e) (.f64 e (.f64 e (.f64 e e)))) (fma.f64 e e (.f64 (.f64 e e) (fma.f64 e e e)))))))
✓	99.5%	(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
✓	99.2%	(.f64 (sin.f64 v) (-.f64 e (.f64 e e)))
	45.7%	(.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
	46.4%	(.f64 v (-.f64 e (.f64 e e)))
	45.7%	(.f64 v (+.f64 e (.f64 (.f64 #s(literal -1/6 binary64) (.f64 v v)) e)))
	26.0%	(.f64 v (.f64 e (neg.f64 e)))
	46.5%	(.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))
	22.0%	(.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v (-.f64 (.f64 e (.f64 v (.f64 e v))) (.f64 v (.f64 v (neg.f64 e))))) (.f64 (fma.f64 (.f64 e v) (fma.f64 e v v) (.f64 v v)) (-.f64 v (.f64 e v))))))
✓	46.4%	(.f64 e (-.f64 v (.f64 e v)))
	41.8%	(.f64 e (.f64 (.f64 (-.f64 v (.f64 e v)) (fma.f64 e v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))
	24.2%	(.f64 e (.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64))))
✓	98.9%	(*.f64 e (sin.f64 v))
	26.1%	(.f64 e (neg.f64 (.f64 e v)))
✓	46.0%	(*.f64 e v)
	24.2%	(.f64 #s(literal -1/6 binary64) (.f64 e (.f64 v (.f64 v v))))

Compiler

Compiled 1 599 to 615 computations (61.5% saved)

regimes61.0ms (0.6%)

Memory

-9.6MiB live, 120.3MiB allocated

Counts

69 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(.f64 e (neg.f64 (.f64 e v)))
(.f64 v (.f64 e (neg.f64 e)))
(.f64 e (-.f64 v (.f64 e v)))
(.f64 v (-.f64 e (.f64 e e)))
(-.f64 v (/.f64 v e))
(.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(.f64 #s(literal -1/6 binary64) (.f64 e (.f64 v (.f64 v v))))
(.f64 e (.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64))))
(.f64 e (fma.f64 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(.f64 v (fma.f64 e (.f64 #s(literal -1/6 binary64) (*.f64 v v)) e))
(.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(.f64 v (fma.f64 (.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
(.f64 v (+.f64 e (.f64 (.f64 #s(literal -1/6 binary64) (.f64 v v)) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(fma.f64 v e (.f64 v (.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v v)))))
(fma.f64 v e (.f64 (.f64 v (.f64 v #s(literal -1/6 binary64))) (.f64 e v)))
(fma.f64 (.f64 v #s(literal -1/6 binary64)) (.f64 (.f64 v v) e) (.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 (*.f64 e v) (/.f64 #s(literal -1 binary64) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (+.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (.f64 e v) (/.f64 (.f64 e e) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (neg.f64 e)) e)))
(/.f64 (.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) e) (fma.f64 e v v))
(.f64 e (.f64 (.f64 (-.f64 v (.f64 e v)) (fma.f64 e v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))
(.f64 (/.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) (+.f64 e #s(literal 1 binary64))) (/.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 (*.f64 e v) (neg.f64 (-.f64 (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (neg.f64 e)) e)))
(/.f64 (.f64 e v) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) e)))
(.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 v e))
(/.f64 (.f64 e v) (/.f64 (.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)) e)) (+.f64 e #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (.f64 e v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 v v) e) (fma.f64 (.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(.f64 e (.f64 (.f64 v (-.f64 v (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v v) #s(literal 1/36 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 v (.f64 (.f64 v (*.f64 v v)) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (.f64 v (.f64 e (.f64 v e))) (.f64 (.f64 e e) (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) #s(literal 1/36 binary64))))) (-.f64 (.f64 v e) (.f64 v (.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v v))))))
(.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v (-.f64 (.f64 e (.f64 v (.f64 e v))) (.f64 v (.f64 v (neg.f64 e))))) (.f64 (fma.f64 (.f64 e v) (fma.f64 e v v) (.f64 v v)) (-.f64 v (.f64 e v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (-.f64 (fma.f64 v (.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))
(*.f64 e (sin.f64 v))
(.f64 (sin.f64 v) (-.f64 e (.f64 e e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 (.f64 (.f64 (-.f64 e (*.f64 e e)) (fma.f64 e e e)) (sin.f64 v)) (fma.f64 e e e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (.f64 e e)) (/.f64 #s(literal 1 binary64) (fma.f64 e e (.f64 (.f64 e e) (fma.f64 e e e)))) (neg.f64 (/.f64 (.f64 (.f64 e e) (.f64 e (.f64 e (.f64 e e)))) (fma.f64 e e (.f64 (.f64 e e) (fma.f64 e e e)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) e)
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.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))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (.f64 (sin.f64 v) (.f64 (fma.f64 (neg.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)) (neg.f64 (.f64 e e)))) (neg.f64 (fma.f64 (cos.f64 v) (.f64 e e) e)))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)))
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (.f64 (.f64 e (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))
(.f64 (sin.f64 v) (.f64 (fma.f64 (cos.f64 v) (neg.f64 (.f64 e e)) e) (.f64 (neg.f64 (fma.f64 (cos.f64 v) (.f64 e e) e)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 v) (.f64 e e) e))))))

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

Calls

3 calls:

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

regimes47.0ms (0.5%)

Memory

8.7MiB live, 86.3MiB allocated

Counts

55 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(.f64 e (neg.f64 (.f64 e v)))
(.f64 v (.f64 e (neg.f64 e)))
(.f64 e (-.f64 v (.f64 e v)))
(.f64 v (-.f64 e (.f64 e e)))
(-.f64 v (/.f64 v e))
(.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(.f64 #s(literal -1/6 binary64) (.f64 e (.f64 v (.f64 v v))))
(.f64 e (.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64))))
(.f64 e (fma.f64 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(.f64 v (fma.f64 e (.f64 #s(literal -1/6 binary64) (*.f64 v v)) e))
(.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(.f64 v (fma.f64 (.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
(.f64 v (+.f64 e (.f64 (.f64 #s(literal -1/6 binary64) (.f64 v v)) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(fma.f64 v e (.f64 v (.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v v)))))
(fma.f64 v e (.f64 (.f64 v (.f64 v #s(literal -1/6 binary64))) (.f64 e v)))
(fma.f64 (.f64 v #s(literal -1/6 binary64)) (.f64 (.f64 v v) e) (.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 (*.f64 e v) (/.f64 #s(literal -1 binary64) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (+.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (.f64 e v) (/.f64 (.f64 e e) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (neg.f64 e)) e)))
(/.f64 (.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) e) (fma.f64 e v v))
(.f64 e (.f64 (.f64 (-.f64 v (.f64 e v)) (fma.f64 e v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))
(.f64 (/.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) (+.f64 e #s(literal 1 binary64))) (/.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 (*.f64 e v) (neg.f64 (-.f64 (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (neg.f64 e)) e)))
(/.f64 (.f64 e v) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) e)))
(.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 v e))
(/.f64 (.f64 e v) (/.f64 (.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)) e)) (+.f64 e #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (.f64 e v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 v v) e) (fma.f64 (.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(.f64 e (.f64 (.f64 v (-.f64 v (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v v) #s(literal 1/36 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 v (.f64 (.f64 v (*.f64 v v)) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (.f64 v (.f64 e (.f64 v e))) (.f64 (.f64 e e) (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) #s(literal 1/36 binary64))))) (-.f64 (.f64 v e) (.f64 v (.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v v))))))
(.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v (-.f64 (.f64 e (.f64 v (.f64 e v))) (.f64 v (.f64 v (neg.f64 e))))) (.f64 (fma.f64 (.f64 e v) (fma.f64 e v v) (.f64 v v)) (-.f64 v (.f64 e v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (-.f64 (fma.f64 v (.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))
(*.f64 e (sin.f64 v))
(.f64 (sin.f64 v) (-.f64 e (.f64 e e)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) e))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
(/.f64 (.f64 (.f64 (-.f64 e (*.f64 e e)) (fma.f64 e e e)) (sin.f64 v)) (fma.f64 e e e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))))
(.f64 (sin.f64 v) (fma.f64 (.f64 e (.f64 e e)) (/.f64 #s(literal 1 binary64) (fma.f64 e e (.f64 (.f64 e e) (fma.f64 e e e)))) (neg.f64 (/.f64 (.f64 (.f64 e e) (.f64 e (.f64 e (.f64 e e)))) (fma.f64 e e (.f64 (.f64 e e) (fma.f64 e e e)))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) e)
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`e`
99.5%	1	`v`
99.5%	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)

regimes42.0ms (0.4%)

Memory

-11.5MiB live, 67.3MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(.f64 e (neg.f64 (.f64 e v)))
(.f64 v (.f64 e (neg.f64 e)))
(.f64 e (-.f64 v (.f64 e v)))
(.f64 v (-.f64 e (.f64 e e)))
(-.f64 v (/.f64 v e))
(.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(.f64 #s(literal -1/6 binary64) (.f64 e (.f64 v (.f64 v v))))
(.f64 e (.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64))))
(.f64 e (fma.f64 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(.f64 v (fma.f64 e (.f64 #s(literal -1/6 binary64) (*.f64 v v)) e))
(.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(.f64 v (fma.f64 (.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
(.f64 v (+.f64 e (.f64 (.f64 #s(literal -1/6 binary64) (.f64 v v)) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(fma.f64 v e (.f64 v (.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v v)))))
(fma.f64 v e (.f64 (.f64 v (.f64 v #s(literal -1/6 binary64))) (.f64 e v)))
(fma.f64 (.f64 v #s(literal -1/6 binary64)) (.f64 (.f64 v v) e) (.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 (*.f64 e v) (/.f64 #s(literal -1 binary64) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (+.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (.f64 e v) (/.f64 (.f64 e e) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (neg.f64 e)) e)))
(/.f64 (.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) e) (fma.f64 e v v))
(.f64 e (.f64 (.f64 (-.f64 v (.f64 e v)) (fma.f64 e v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))
(.f64 (/.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) (+.f64 e #s(literal 1 binary64))) (/.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 (*.f64 e v) (neg.f64 (-.f64 (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (neg.f64 e)) e)))
(/.f64 (.f64 e v) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) e)))
(.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 v e))
(/.f64 (.f64 e v) (/.f64 (.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)) e)) (+.f64 e #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (.f64 e v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 v v) e) (fma.f64 (.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(.f64 e (.f64 (.f64 v (-.f64 v (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v v) #s(literal 1/36 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 v (.f64 (.f64 v (*.f64 v v)) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (.f64 v (.f64 e (.f64 v e))) (.f64 (.f64 e e) (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) #s(literal 1/36 binary64))))) (-.f64 (.f64 v e) (.f64 v (.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v v))))))
(.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v (-.f64 (.f64 e (.f64 v (.f64 e v))) (.f64 v (.f64 v (neg.f64 e))))) (.f64 (fma.f64 (.f64 e v) (fma.f64 e v v) (.f64 v v)) (-.f64 v (.f64 e v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (-.f64 (fma.f64 v (.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))
(*.f64 e (sin.f64 v))
(.f64 (sin.f64 v) (-.f64 e (.f64 e e)))

Outputs
(.f64 (sin.f64 v) (-.f64 e (.f64 e e)))

Calls

3 calls:

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

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes40.0ms (0.4%)

Memory

13.2MiB live, 50.5MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(.f64 e (neg.f64 (.f64 e v)))
(.f64 v (.f64 e (neg.f64 e)))
(.f64 e (-.f64 v (.f64 e v)))
(.f64 v (-.f64 e (.f64 e e)))
(-.f64 v (/.f64 v e))
(.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(.f64 #s(literal -1/6 binary64) (.f64 e (.f64 v (.f64 v v))))
(.f64 e (.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64))))
(.f64 e (fma.f64 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(.f64 v (fma.f64 e (.f64 #s(literal -1/6 binary64) (*.f64 v v)) e))
(.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(.f64 v (fma.f64 (.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
(.f64 v (+.f64 e (.f64 (.f64 #s(literal -1/6 binary64) (.f64 v v)) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(fma.f64 v e (.f64 v (.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v v)))))
(fma.f64 v e (.f64 (.f64 v (.f64 v #s(literal -1/6 binary64))) (.f64 e v)))
(fma.f64 (.f64 v #s(literal -1/6 binary64)) (.f64 (.f64 v v) e) (.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 (*.f64 e v) (/.f64 #s(literal -1 binary64) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (+.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (.f64 e v) (/.f64 (.f64 e e) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (neg.f64 e)) e)))
(/.f64 (.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) e) (fma.f64 e v v))
(.f64 e (.f64 (.f64 (-.f64 v (.f64 e v)) (fma.f64 e v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))
(.f64 (/.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) (+.f64 e #s(literal 1 binary64))) (/.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 (*.f64 e v) (neg.f64 (-.f64 (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (neg.f64 e)) e)))
(/.f64 (.f64 e v) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) e)))
(.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 v e))
(/.f64 (.f64 e v) (/.f64 (.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)) e)) (+.f64 e #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (.f64 e v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 v v) e) (fma.f64 (.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(.f64 e (.f64 (.f64 v (-.f64 v (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v v) #s(literal 1/36 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 v (.f64 (.f64 v (*.f64 v v)) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (.f64 v (.f64 e (.f64 v e))) (.f64 (.f64 e e) (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) #s(literal 1/36 binary64))))) (-.f64 (.f64 v e) (.f64 v (.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v v))))))
(.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v (-.f64 (.f64 e (.f64 v (.f64 e v))) (.f64 v (.f64 v (neg.f64 e))))) (.f64 (fma.f64 (.f64 e v) (fma.f64 e v v) (.f64 v v)) (-.f64 v (.f64 e v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (-.f64 (fma.f64 v (.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))
(*.f64 e (sin.f64 v))

Outputs
(*.f64 e (sin.f64 v))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.9%	1	`e`
98.9%	1	`v`
98.9%	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)

regimes43.0ms (0.4%)

Memory

-14.6MiB live, 64.0MiB allocated

Counts

44 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(.f64 e (neg.f64 (.f64 e v)))
(.f64 v (.f64 e (neg.f64 e)))
(.f64 e (-.f64 v (.f64 e v)))
(.f64 v (-.f64 e (.f64 e e)))
(-.f64 v (/.f64 v e))
(.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(.f64 #s(literal -1/6 binary64) (.f64 e (.f64 v (.f64 v v))))
(.f64 e (.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64))))
(.f64 e (fma.f64 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(.f64 v (fma.f64 e (.f64 #s(literal -1/6 binary64) (*.f64 v v)) e))
(.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(.f64 v (fma.f64 (.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
(.f64 v (+.f64 e (.f64 (.f64 #s(literal -1/6 binary64) (.f64 v v)) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(fma.f64 v e (.f64 v (.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v v)))))
(fma.f64 v e (.f64 (.f64 v (.f64 v #s(literal -1/6 binary64))) (.f64 e v)))
(fma.f64 (.f64 v #s(literal -1/6 binary64)) (.f64 (.f64 v v) e) (.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 (*.f64 e v) (/.f64 #s(literal -1 binary64) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (+.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (.f64 e v) (/.f64 (.f64 e e) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (neg.f64 e)) e)))
(/.f64 (.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) e) (fma.f64 e v v))
(.f64 e (.f64 (.f64 (-.f64 v (.f64 e v)) (fma.f64 e v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))
(.f64 (/.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) (+.f64 e #s(literal 1 binary64))) (/.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 (*.f64 e v) (neg.f64 (-.f64 (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (neg.f64 e)) e)))
(/.f64 (.f64 e v) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) e)))
(.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 v e))
(/.f64 (.f64 e v) (/.f64 (.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)) e)) (+.f64 e #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (.f64 e v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 v v) e) (fma.f64 (.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))))
(.f64 e (.f64 (.f64 v (-.f64 v (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v v) #s(literal 1/36 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 v (.f64 (.f64 v (*.f64 v v)) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (.f64 v (.f64 e (.f64 v e))) (.f64 (.f64 e e) (.f64 (.f64 v (.f64 v (.f64 v v))) (.f64 (.f64 v v) #s(literal 1/36 binary64))))) (-.f64 (.f64 v e) (.f64 v (.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v v))))))
(.f64 e (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v v (-.f64 (.f64 e (.f64 v (.f64 e v))) (.f64 v (.f64 v (neg.f64 e))))) (.f64 (fma.f64 (.f64 e v) (fma.f64 e v v) (.f64 v v)) (-.f64 v (.f64 e v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (-.f64 (fma.f64 v (.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))

Outputs

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

Calls

3 calls:

16.0ms	e
13.0ms	v
11.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
47.2%	1	`e`
47.2%	1	`v`
47.2%	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)

regimes36.0ms (0.4%)

Memory

20.1MiB live, 57.3MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(.f64 e (neg.f64 (.f64 e v)))
(.f64 v (.f64 e (neg.f64 e)))
(.f64 e (-.f64 v (.f64 e v)))
(.f64 v (-.f64 e (.f64 e e)))
(-.f64 v (/.f64 v e))
(.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(.f64 #s(literal -1/6 binary64) (.f64 e (.f64 v (.f64 v v))))
(.f64 e (.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64))))
(.f64 e (fma.f64 v (.f64 v (*.f64 v #s(literal -1/6 binary64))) v))
(.f64 v (fma.f64 e (.f64 #s(literal -1/6 binary64) (*.f64 v v)) e))
(.f64 v (fma.f64 e (.f64 v (*.f64 v #s(literal -1/6 binary64))) e))
(.f64 v (fma.f64 (.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 v e))
(.f64 v (+.f64 e (.f64 (.f64 #s(literal -1/6 binary64) (.f64 v v)) e)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
(fma.f64 v e (.f64 v (.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v v)))))
(fma.f64 v e (.f64 (.f64 v (.f64 v #s(literal -1/6 binary64))) (.f64 e v)))
(fma.f64 (.f64 v #s(literal -1/6 binary64)) (.f64 (.f64 v v) e) (.f64 v e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v e)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 (*.f64 e v) (/.f64 #s(literal -1 binary64) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (+.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (.f64 e v) (/.f64 (.f64 e e) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) (neg.f64 e)) e)))
(/.f64 (.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) e) (fma.f64 e v v))
(.f64 e (.f64 (.f64 (-.f64 v (.f64 e v)) (fma.f64 e v v)) (/.f64 #s(literal 1 binary64) (fma.f64 e v v))))
(.f64 (/.f64 (.f64 (-.f64 v (*.f64 e v)) (fma.f64 e v v)) (+.f64 e #s(literal 1 binary64))) (/.f64 e v))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 v v) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 (*.f64 e v) (neg.f64 (-.f64 (/.f64 (+.f64 e (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) (neg.f64 e)) e)))
(/.f64 (.f64 e v) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 e e)) e)))
(.f64 (/.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 v e))
(/.f64 (.f64 e v) (/.f64 (.f64 e (fma.f64 e (/.f64 #s(literal -1 binary64) (*.f64 e e)) e)) (+.f64 e #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 v v) (.f64 (.f64 v v) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (.f64 e v))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 v v) e) (fma.f64 (.f64 v v) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) e)) v))

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

Calls

3 calls:

13.0ms	e
10.0ms	v
10.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
46.7%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
46.7%	1	`e`
46.7%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes27.0ms (0.3%)

Memory

10.6MiB live, 48.4MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	v
7.0ms	e
7.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
46.7%	1	`e`
46.7%	1	`v`
46.7%	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)

regimes12.0ms (0.1%)

Memory

-22.9MiB live, 14.8MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(.f64 e (neg.f64 (.f64 e v)))
(.f64 v (.f64 e (neg.f64 e)))
(.f64 e (-.f64 v (.f64 e v)))
(.f64 v (-.f64 e (.f64 e e)))
(-.f64 v (/.f64 v e))
(.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))

Outputs
(.f64 e (fma.f64 e (-.f64 (.f64 e v) v) v))

Calls

3 calls:

6.0ms	e
3.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
3.0ms	v

Results

Accuracy	Segments	Branch
46.5%	1	`e`
46.5%	1	`v`
46.5%	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)

regimes8.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(.f64 e (neg.f64 (.f64 e v)))
(.f64 v (.f64 e (neg.f64 e)))
(.f64 e (-.f64 v (.f64 e v)))
(.f64 v (-.f64 e (.f64 e e)))
(-.f64 v (/.f64 v e))

Outputs
(.f64 v (-.f64 e (.f64 e e)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
46.4%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
46.4%	1	`e`
46.4%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes7.0ms (0.1%)

Memory

18.0MiB live, 18.0MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(.f64 e (neg.f64 (.f64 e v)))
(.f64 v (.f64 e (neg.f64 e)))
(.f64 e (-.f64 v (.f64 e v)))

Outputs
(.f64 e (-.f64 v (.f64 e v)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
46.4%	1	`e`
46.4%	1	`v`
46.4%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes10.0ms (0.1%)

Memory

-35.8MiB live, 10.5MiB allocated

Accuracy

Total -13.8b remaining (-40%)

Threshold costs -13.8b (-40%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(.f64 e (neg.f64 (.f64 e v)))
(.f64 v (.f64 e (neg.f64 e)))

Outputs
(*.f64 e v)

Calls

3 calls:

6.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
2.0ms	v
2.0ms	e

Results

Accuracy	Segments	Branch
46.0%	1	`e`
46.0%	1	`v`
46.0%	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)

simplify7.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
20×	`+-commutative_binary64`
14×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	97
1	60	97
2	76	97
3	84	97
4	88	97

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.3s (12.9%)

Memory

15.7MiB live, 765.2MiB allocated

Rules

14 218×	`lower-fma.f64`
14 218×	`lower-fma.f32`
14 120×	`lower-fma.f64`
14 120×	`lower-fma.f32`
11 142×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	1209
1	584	1194
2	1652	1162
3	4907	1089
0	8039	1013
0	297	2512
1	900	2471
2	2559	2431
3	7261	2419
0	8256	2273
0	18	84
0	36	82
1	143	82
2	773	82
3	7544	82
0	8647	82
0	350	3281
1	1114	3148
2	3384	3046
0	8663	2879
0	9	29
0	15	29
1	42	29
2	241	29
3	2097	29
0	8370	27

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

Compiler

Compiled 282 to 147 computations (47.9% saved)

preprocess215.0ms (2.2%)

Memory: -17.0MiB live, 171.4MiB allocated
Remove: (negabs v)
Compiler: Compiled 296 to 138 computations (53.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze7.0ms (0.1%)

sample1.4s (14.3%)

preprocess73.0ms (0.7%)

explain152.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize35.0ms (0.4%)

series16.0ms (0.2%)

rewrite387.0ms (4%)

simplify464.0ms (4.8%)

eval60.0ms (0.6%)

prune58.0ms (0.6%)

simplify512.0ms (5.2%)

localize87.0ms (0.9%)

series34.0ms (0.4%)

rewrite347.0ms (3.6%)

simplify443.0ms (4.5%)

eval208.0ms (2.1%)

prune181.0ms (1.9%)

simplify438.0ms (4.5%)

localize97.0ms (1%)

series39.0ms (0.4%)

rewrite365.0ms (3.7%)

simplify384.0ms (3.9%)

eval214.0ms (2.2%)

prune232.0ms (2.4%)

simplify279.0ms (2.9%)

localize104.0ms (1.1%)

series78.0ms (0.8%)

rewrite544.0ms (5.6%)

simplify381.0ms (3.9%)

eval172.0ms (1.8%)

prune144.0ms (1.5%)

regimes61.0ms (0.6%)

regimes47.0ms (0.5%)

regimes42.0ms (0.4%)

regimes40.0ms (0.4%)

regimes43.0ms (0.4%)

regimes36.0ms (0.4%)

regimes27.0ms (0.3%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

simplify7.0ms (0.1%)

soundness1.3s (12.9%)

preprocess215.0ms (2.2%)

end0.0ms (0%)

Profiling