Metrics for Trigonometry A

analyze7.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB 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)

sample1.2s (12.9%)

Memory

17.8MiB live, 1 899.6MiB allocated

Samples

943.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 707.0ms

ival-cos: 209.0ms (29.6% of total)

ival-sin: 196.0ms (27.7% of total)

ival-mult: 109.0ms (15.4% of total)

ival-add: 61.0ms (8.6% of total)

ival-div: 59.0ms (8.4% of total)

ival-<=: 47.0ms (6.7% of total)

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

exact: 11.0ms (1.6% of total)

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

Bogosity

preprocess73.0ms (0.8%)

Memory

6.9MiB live, 45.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs v)

explain133.0ms (1.4%)

Memory

-39.4MiB live, 148.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

57.0ms

512×

valid

Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-cos: 10.0ms (30.7% of total)

ival-sin: 10.0ms (30.7% of total)

ival-mult: 6.0ms (18.4% of total)

ival-div: 3.0ms (9.2% of total)

ival-add: 3.0ms (9.2% 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

simplify5.0ms (0%)

Memory

7.4MiB live, 7.4MiB 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)

localize38.0ms (0.4%)

Memory

6.4MiB live, 46.5MiB 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	99.9%	(*.f64 e (cos.f64 v))
✓	accuracy	99.8%	(*.f64 e (sin.f64 v))

Samples

28.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 7.0ms (35.5% of total)

ival-sin: 5.0ms (25.3% of total)

ival-cos: 4.0ms (20.3% of total)

ival-div: 2.0ms (10.1% of total)

ival-add: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Memory

-18.7MiB live, 18.8MiB 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
2.0ms	v	@	0	(/ (* e (sin v)) (+ 1 (* e (cos v))))
2.0ms	v	@	inf	(* 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))

rewrite365.0ms (3.8%)

Memory

21.6MiB live, 531.3MiB 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))

simplify376.0ms (3.9%)

Memory

5.0MiB live, 509.6MiB 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)

eval59.0ms (0.6%)

Memory: 23.9MiB live, 109.4MiB allocated
Compiler: Compiled 13 512 to 1 267 computations (90.6% saved)

prune57.0ms (0.6%)

Memory

-4.4MiB live, 113.2MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	456	9	465
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	457	9	466

Accuracy

99.9%

Counts

466 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.0%	(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)))
▶	58.8%	(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
	99.7%	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
▶	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
▶	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
	99.5%	(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
	59.3%	(.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))))
▶	98.5%	(*.f64 e (sin.f64 v))

Compiler

Compiled 242 to 150 computations (38% saved)

simplify724.0ms (7.5%)

Memory

-300.0MiB live, 633.2MiB 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	(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓	cost-diff	0	(sin.f64 v)
✓	cost-diff	0	(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
✓	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

22 618×	`lower-fma.f32`
22 614×	`lower-fma.f64`
4 408×	`lower-*.f32`
4 402×	`lower-*.f64`
2 008×	`lower-/.f32`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	16	118
0	31	116
1	50	116
2	66	116
3	86	116
4	117	116
5	146	116
6	171	116
7	214	116
8	268	116
9	338	116
10	441	112
11	578	112
12	837	112
13	1899	112
14	2011	112
15	2025	112
16	2025	112
17	2025	112
18	5612	112
19	5854	112
20	6591	112
21	6624	112
22	6656	112
23	6690	112
24	7082	112
25	7120	112
0	8084	112

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

localize75.0ms (0.8%)

Memory

-6.0MiB live, 151.4MiB 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	99.7%	(/.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%	(sin.f64 v)
✓	accuracy	100.0%	(cos.f64 v)
✓	accuracy	100.0%	(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
✓	accuracy	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) 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

44.0ms

256×

valid

Compiler

Compiled 128 to 20 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 8.0ms (27.2% of total)

ival-mult: 7.0ms (23.8% of total)

ival-sin: 6.0ms (20.4% of total)

ival-add: 4.0ms (13.6% of total)

ival-cos: 4.0ms (13.6% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.2%)

Memory

-0.8MiB live, 37.6MiB allocated

Counts

13 → 276

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

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

Calls

69 calls:

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

rewrite292.0ms (3%)

Memory

-2.0MiB live, 404.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 730×	`lower-*.f32`
3 724×	`lower-*.f64`
2 994×	`lower-/.f32`
2 984×	`lower-/.f64`
2 664×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	81
0	31	79
1	121	79
2	591	79
3	5317	79
0	8133	79

Stop Event

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

Counts

13 → 1 095

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

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

simplify369.0ms (3.8%)

Memory

17.2MiB live, 448.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 802×	`lower-fma.f64`
9 802×	`lower-fma.f32`
6 538×	`lower-*.f64`
6 538×	`lower-*.f32`
4 576×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	340	3830
1	1058	3734
2	3174	3587
0	8246	3376

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 271

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))))
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(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)

Outputs
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(.f64 e (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)))
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(.f64 v (fma.f64 v (.f64 v (fma.f64 (.f64 v v) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 e e) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))) (.f64 e (fma.f64 (/.f64 e (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))) (.f64 v (.f64 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 (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal 1/24 binary64) (.f64 (/.f64 (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 e e) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 e e) #s(literal -1/720 binary64)) (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))))) (fma.f64 e (-.f64 (/.f64 #s(literal 1/120 binary64) (+.f64 e #s(literal 1 binary64))) (.f64 (/.f64 (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64))))) (+.f64 e #s(literal 1 binary64))) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 e e) (*.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal -1/24 binary64))))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/ 1 (* e (sin v)))
(/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v)))
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/.f64 (fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) e)
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/.f64 (fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) e)
(/ (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v))) e)
(/.f64 (fma.f64 e (/.f64 (cos.f64 v) (sin.f64 v)) (/.f64 #s(literal 1 binary64) (sin.f64 v))) e)
(/ (cos v) (sin v))
(/.f64 (cos.f64 v) (sin.f64 v))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(/ (cos v) (sin v))
(/.f64 (cos.f64 v) (sin.f64 v))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(+ (/ 1 (* e (sin v))) (/ (cos v) (sin v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))) (/.f64 (cos.f64 v) (sin.f64 v)))
(/ (+ 1 e) (* e v))
(/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v))
(/ (+ 1 (+ (* -1 (* (pow v 2) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) #s(literal 1 binary64))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/ (+ 1 (+ (* (pow v 2) (- (* (pow v 2) (- (+ 1/24 (* -1 (* (pow v 2) (+ 1/720 (+ (* -1/6 (- 1/24 (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ (* -1/120 (+ 1/2 (* -1/6 (/ (+ 1 e) e)))) (* -1/5040 (/ (+ 1 e) e)))))))) (+ (* 1/120 (/ (+ 1 e) e)) (* 1/6 (+ 1/2 (* -1/6 (/ (+ 1 e) e))))))) (+ 1/2 (* -1/6 (/ (+ 1 e) e))))) (/ 1 e))) v)
(/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (+.f64 (+.f64 #s(literal -1/360 binary64) (.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal 1/840 binary64))) (fma.f64 #s(literal -1/6 binary64) (neg.f64 (+.f64 #s(literal 1/12 binary64) (.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) #s(literal -1/144 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))))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
(/ (+ 1 (* e (cos v))) (* e (sin v)))
(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 v (*.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)

eval193.0ms (2%)

Memory: 26.7MiB live, 332.5MiB allocated
Compiler: Compiled 34 302 to 2 599 computations (92.4% saved)

prune157.0ms (1.6%)

Memory

-2.5MiB live, 313.2MiB allocated

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	1 643	20	1 663
Fresh	2	2	4
Picked	1	4	5
Done	0	0	0
Total	1 646	26	1 672

Accuracy

100.0%

Counts

1 672 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.1%	(pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) #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)))
	58.8%	(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
✓	58.8%	(/.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))
▶	99.7%	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
▶	58.7%	(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
	74.1%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	59.5%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) e) (sin.f64 v)))
	59.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) #s(literal 1 binary64))) v))
	57.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
▶	97.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e (sin.f64 v))))
	2.7%	(-.f64 v (/.f64 v e))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
	99.5%	(.f64 (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)) e)
▶	58.5%	(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))
	59.3%	(.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))))
	58.3%	(.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))
	59.3%	(.f64 v (fma.f64 v (.f64 v (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
	58.6%	(.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
	58.5%	(.f64 e (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))
	58.6%	(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
	58.7%	(.f64 e (-.f64 v (.f64 e v)))
✓	98.5%	(*.f64 e (sin.f64 v))
▶	58.1%	(*.f64 e v)

Compiler

Compiled 739 to 436 computations (41% saved)

simplify289.0ms (3%)

Memory

-15.5MiB live, 313.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 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	(*.f64 v v)
✓	cost-diff	0	(fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 e #s(literal -1/6 binary64))) e)
✓	cost-diff	0	(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))
✓	cost-diff	320	(fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64)))
✓	cost-diff	0	(+.f64 e #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 e #s(literal 1 binary64)) v)
✓	cost-diff	384	(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
✓	cost-diff	0	(*.f64 e v)
✓	cost-diff	0	(cos.f64 v)
✓	cost-diff	0	(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
✓	cost-diff	384	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))

Rules

11 316×	`lower-fma.f32`
11 308×	`lower-fma.f64`
3 376×	`lower-*.f32`
3 364×	`lower-*.f64`
2 040×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	155
0	48	151
1	96	148
2	265	148
3	794	147
4	1996	147
5	3450	147
6	4562	147
7	5183	147
8	5528	147
9	5537	147
10	5548	147
11	6694	147
12	7477	147
0	8198	143

Stop Event

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

Calls

Call 1

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

localize103.0ms (1.1%)

Memory

3.7MiB live, 159.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 v)
✓	accuracy	99.8%	(*.f64 e (sin.f64 v))
✓	accuracy	99.7%	(/.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	99.9%	(fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64)))
✓	accuracy	99.4%	(*.f64 e #s(literal -1/6 binary64))
✓	accuracy	90.1%	(.f64 e (.f64 v v))
✓	accuracy	100.0%	(+.f64 e #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 e #s(literal 1 binary64)) v)
✓	accuracy	99.6%	(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
✓	accuracy	100.0%	(*.f64 e v)
✓	accuracy	100.0%	(sin.f64 v)
✓	accuracy	100.0%	(cos.f64 v)
✓	accuracy	99.8%	(/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
✓	accuracy	99.7%	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))

Samples

67.0ms

256×

valid

Compiler

Compiled 169 to 31 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 14.0ms (27.3% of total)

const: 10.0ms (19.5% of total)

ival-div: 9.0ms (17.5% of total)

ival-add: 7.0ms (13.6% of total)

ival-cos: 6.0ms (11.7% of total)

ival-sin: 5.0ms (9.7% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

-2.4MiB live, 34.9MiB allocated

Counts

19 → 384

Calls

Call 1

Inputs
#<alt (/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))>
#<alt (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))>
#<alt (fma.f64 e (cos.f64 v) #s(literal 1 binary64))>
#<alt (cos.f64 v)>
#<alt (*.f64 e v)>
#<alt (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))>
#<alt (/.f64 (+.f64 e #s(literal 1 binary64)) v)>
#<alt (+.f64 e #s(literal 1 binary64))>
#<alt (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64)))>
#<alt (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))>
#<alt (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 e #s(literal -1/6 binary64))) e)>
#<alt (*.f64 v v)>
#<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 (sin.f64 v)>
#<alt (.f64 e (.f64 v v))>
#<alt (*.f64 e #s(literal -1/6 binary64))>
#<alt (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))>

Outputs
#<alt (* e (sin v))>
#<alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))>
#<alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))>
#<alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))>
#<alt (/ (sin v) (cos v))>
#<alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))>
#<alt (/ (* e v) (+ 1 e))>
#<alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ (* e (sin v)) (+ 1 (* e (cos v))))>
#<alt (/ 1 (sin v))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))>
#<alt (/ (* e (cos v)) (sin v))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt (/ (+ 1 (* e (cos v))) (sin v))>
#<alt 1>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (* e (cos v))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (+ (cos v) (/ 1 e)))>
#<alt (* e (cos v))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e))))>
#<alt (+ 1 e)>
#<alt (+ 1 (+ e (* -1/2 (* e (pow v 2)))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))>
#<alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt (+ 1 (* e (cos v)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (cos v)>
#<alt (* e 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 (* 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 (/ 1 v)>
#<alt (+ (/ 1 v) (/ e v))>
#<alt (+ (/ 1 v) (/ e v))>
#<alt (+ (/ 1 v) (/ e v))>
#<alt (/ e v)>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (/ e v)>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (* e (+ (/ 1 v) (/ 1 (* e v))))>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 e) v)>
#<alt (/ (+ 1 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 (* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))>
#<alt (* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))>
#<alt (* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))>
#<alt (* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))>
#<alt (* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))>
#<alt (* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))>
#<alt (* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))>
#<alt (* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))>
#<alt (* -1 (* e (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))))>
#<alt (* -1 (* e (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))))>
#<alt (* -1 (* e (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))))>
#<alt (* -1 (* e (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))))>
#<alt (* -1/6 e)>
#<alt (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))>
#<alt (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))>
#<alt (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))>
#<alt (* -1/5040 (* e (pow v 4)))>
#<alt (* (pow v 4) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))>
#<alt (* -1/5040 (* e (pow v 4)))>
#<alt (* (pow v 4) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))>
#<alt (* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))>
#<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 (* -1/5040 (* e (pow v 7)))>
#<alt (* (pow v 7) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))>
#<alt (* (pow v 7) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))>
#<alt (* (pow v 7) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (+ (* 1/120 (/ e (pow v 2))) (/ e (pow v 6))))))>
#<alt (* -1/5040 (* e (pow v 7)))>
#<alt (* -1 (* (pow v 7) (+ (* -1/120 (/ e (pow v 2))) (* 1/5040 e))))>
#<alt (* -1 (* (pow v 7) (+ (* -1/120 (/ e (pow v 2))) (+ (* 1/5040 e) (* 1/6 (/ e (pow v 4)))))))>
#<alt (* -1 (* (pow v 7) (+ (* -1 (/ e (pow v 6))) (+ (* -1/120 (/ e (pow v 2))) (+ (* 1/5040 e) (* 1/6 (/ e (pow v 4))))))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))>
#<alt (* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))>
#<alt (* -1 (* e (* v (- (* (pow v 2) (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))) 1))))>
#<alt (* -1 (* e (* v (- (* (pow v 2) (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))) 1))))>
#<alt (* -1 (* e (* v (- (* (pow v 2) (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))) 1))))>
#<alt (* -1 (* e (* v (- (* (pow v 2) (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))) 1))))>
#<alt e>
#<alt (+ e (* -1/6 (* e (pow v 2))))>
#<alt (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))>
#<alt (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))>
#<alt (* -1/5040 (* e (pow v 6)))>
#<alt (* (pow v 6) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))>
#<alt (* (pow v 6) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))>
#<alt (* (pow v 6) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (+ (* 1/120 (/ e (pow v 2))) (/ e (pow v 6))))))>
#<alt (* -1/5040 (* e (pow v 6)))>
#<alt (* (pow v 6) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))>
#<alt (* (pow v 6) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))>
#<alt (* (pow v 6) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (+ (* 1/120 (/ e (pow v 2))) (/ e (pow v 6))))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (* e (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))>
#<alt (* -1 (* e (- (* (pow v 2) (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))) 1)))>
#<alt (* -1 (* e (- (* (pow v 2) (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))) 1)))>
#<alt (* -1 (* e (- (* (pow v 2) (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))) 1)))>
#<alt (* -1 (* e (- (* (pow v 2) (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))) 1)))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 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 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 (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* e (pow v 2))>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt (* -1/6 e)>
#<alt 1/120>
#<alt (+ 1/120 (* -1/5040 (pow v 2)))>
#<alt (+ 1/120 (* -1/5040 (pow v 2)))>
#<alt (+ 1/120 (* -1/5040 (pow v 2)))>
#<alt (* -1/5040 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))>
#<alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))>
#<alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))>
#<alt (* -1/5040 (pow v 2))>
#<alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))>
#<alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))>
#<alt (* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))>

Calls

96 calls:

Time	Variable		Point	Expression
3.0ms	v	@	-inf	(/ 1 (* e (sin v)))
1.0ms	e	@	0	(+ (* (* e (* v v)) (+ (* (* v v) -1/5040) 1/120)) (* e -1/6))
1.0ms	e	@	inf	(+ (* (* e (* v v)) (+ (* (* v v) -1/5040) 1/120)) (* e -1/6))
1.0ms	e	@	-inf	(* v (+ (* (* v v) (+ (* (* e (* v v)) (+ (* (* v v) -1/5040) 1/120)) (* e -1/6))) e))
1.0ms	e	@	0	(* v (+ (* (* v v) (+ (* (* e (* v v)) (+ (* (* v v) -1/5040) 1/120)) (* e -1/6))) e))

rewrite307.0ms (3.2%)

Memory

11.8MiB live, 515.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 020×	`lower-*.f32`
5 008×	`lower-*.f64`
4 566×	`lower-/.f32`
4 554×	`lower-/.f64`
3 808×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	137
0	48	133
1	198	130
2	1429	130
0	8440	127

Stop Event

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

Counts

19 → 675

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (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 (sin.f64 v)))) (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(neg.f64 (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.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 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.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) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))))
(/.f64 (neg.f64 e) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(/.f64 (neg.f64 (.f64 e (sin.f64 v))) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v))))
(/.f64 (neg.f64 (.f64 e (sin.f64 v))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(/.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (*.f64 e #s(literal -1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))))
(/.f64 (neg.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1 binary64))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.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 (sin.f64 v) (/.f64 e (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 #s(literal -1 binary64) (.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (.f64 e (sin.f64 v))))))
(*.f64 (neg.f64 e) (neg.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(.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 e (/.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 e (/.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 e (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)))))
(.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))) (neg.f64 (sin.f64 v)))
(.f64 (/.f64 e (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 v))))
(.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 (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 (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 e (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(.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 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) (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)) (/.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 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 (.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 e (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 #s(literal 1 binary64) (/.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 (neg.f64 (.f64 e (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 #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 e (sin.f64 v))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(.f64 (/.f64 (pow.f64 (.f64 e (sin.f64 v)) #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 e (sin.f64 v)) #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 e (sin.f64 v)) #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 e (sin.f64 v)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))))
(.f64 (/.f64 (/.f64 e (+.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) (sin.f64 v))))
(.f64 (/.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))) #s(literal 1 binary64)) (/.f64 (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 v))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (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 (sin.f64 v))))
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simplify433.0ms (4.5%)

Memory

14.6MiB live, 617.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 378×	`lower-fma.f64`
14 378×	`lower-fma.f32`
6 238×	`lower-*.f64`
6 238×	`lower-*.f32`
5 362×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	366	3864
1	1126	3828
2	3364	3656
0	8354	3386

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 378

Calls

Call 1

Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ 1 (sin v))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(+ (/ 1 (sin v)) (/ (* e (cos v)) (sin v)))
(/ (* e (cos v)) (sin v))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(* e (+ (/ 1 (* e (sin v))) (/ (cos v) (sin v))))
(/ (* e (cos v)) (sin v))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(* -1 (* e (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v))))))
(/ (+ 1 e) v)
(/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v)
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
(/ (+ 1 (* e (cos v))) (sin v))
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ 1 e)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(* e 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 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ 1 v)
(+ (/ 1 v) (/ e v))
(+ (/ 1 v) (/ e v))
(+ (/ 1 v) (/ e v))
(/ e v)
(* e (+ (/ 1 v) (/ 1 (* e v))))
(* e (+ (/ 1 v) (/ 1 (* e v))))
(* e (+ (/ 1 v) (/ 1 (* e v))))
(/ e v)
(* e (+ (/ 1 v) (/ 1 (* e v))))
(* e (+ (/ 1 v) (/ 1 (* e v))))
(* e (+ (/ 1 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 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) v)
(/ (+ 1 e) 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 (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))
(* -1 (* e (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))))
(* -1 (* e (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))))
(* -1 (* e (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))))
(* -1 (* e (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))))
(* -1/6 e)
(+ (* -1/6 e) (* 1/120 (* e (pow v 2))))
(+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))
(+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))
(* -1/5040 (* e (pow v 4)))
(* (pow v 4) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(* -1/5040 (* e (pow v 4)))
(* (pow v 4) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(* (pow v 4) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(* 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)))))))
(* -1/5040 (* e (pow v 7)))
(* (pow v 7) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))
(* (pow v 7) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(* (pow v 7) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (+ (* 1/120 (/ e (pow v 2))) (/ e (pow v 6))))))
(* -1/5040 (* e (pow v 7)))
(* -1 (* (pow v 7) (+ (* -1/120 (/ e (pow v 2))) (* 1/5040 e))))
(* -1 (* (pow v 7) (+ (* -1/120 (/ e (pow v 2))) (+ (* 1/5040 e) (* 1/6 (/ e (pow v 4)))))))
(* -1 (* (pow v 7) (+ (* -1 (/ e (pow v 6))) (+ (* -1/120 (/ e (pow v 2))) (+ (* 1/5040 e) (* 1/6 (/ e (pow v 4))))))))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* e (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))
(* -1 (* e (* v (- (* (pow v 2) (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))) 1))))
(* -1 (* e (* v (- (* (pow v 2) (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))) 1))))
(* -1 (* e (* v (- (* (pow v 2) (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))) 1))))
(* -1 (* e (* v (- (* (pow v 2) (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))) 1))))
e
(+ e (* -1/6 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))
(* -1/5040 (* e (pow v 6)))
(* (pow v 6) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))
(* (pow v 6) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(* (pow v 6) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (+ (* 1/120 (/ e (pow v 2))) (/ e (pow v 6))))))
(* -1/5040 (* e (pow v 6)))
(* (pow v 6) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2)))))
(* (pow v 6) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (* 1/120 (/ e (pow v 2))))))
(* (pow v 6) (+ (* -1/6 (/ e (pow v 4))) (+ (* -1/5040 e) (+ (* 1/120 (/ e (pow v 2))) (/ e (pow v 6))))))
(* e (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* e (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* e (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* e (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* e (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* e (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* e (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* e (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(* -1 (* e (- (* (pow v 2) (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))) 1)))
(* -1 (* e (- (* (pow v 2) (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))) 1)))
(* -1 (* e (- (* (pow v 2) (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))) 1)))
(* -1 (* e (- (* (pow v 2) (+ 1/6 (* -1 (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2))))))) 1)))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 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))
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 (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* e (pow v 2))
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
(* -1/6 e)
1/120
(+ 1/120 (* -1/5040 (pow v 2)))
(+ 1/120 (* -1/5040 (pow v 2)))
(+ 1/120 (* -1/5040 (pow v 2)))
(* -1/5040 (pow v 2))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* -1/5040 (pow v 2))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))
(* (pow v 2) (- (* 1/120 (/ 1 (pow v 2))) 1/5040))

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

eval133.0ms (1.4%)

Memory: 17.6MiB live, 209.8MiB allocated
Compiler: Compiled 28 270 to 2 629 computations (90.7% saved)

prune139.0ms (1.4%)

Memory

-15.2MiB live, 264.9MiB allocated

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	1 091	18	1 109
Fresh	10	7	17
Picked	4	1	5
Done	0	4	4
Total	1 105	30	1 135

Accuracy

100.0%

Counts

1 135 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.1%	(pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) #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)))
	58.8%	(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
✓	58.8%	(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
▶	98.3%	(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
	58.7%	(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
	60.3%	(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
	98.3%	(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
	58.0%	(/.f64 e (/.f64 #s(literal 1 binary64) v))
	73.0%	(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64))))
	73.3%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	58.8%	(/.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))
▶	57.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
	97.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
	58.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 v (.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
	57.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
▶	57.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
	97.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
	2.7%	(-.f64 v (/.f64 v e))
	58.5%	(.f64 (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) e) v)
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
	58.8%	(*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)))
▶	99.5%	(.f64 (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)) e)
	58.3%	(.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) e))
	58.6%	(.f64 v (fma.f64 (.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
	59.3%	(.f64 v (fma.f64 v (.f64 v (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
	58.6%	(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
▶	58.7%	(.f64 e (-.f64 v (.f64 e v)))
✓	98.5%	(*.f64 e (sin.f64 v))
✓	58.1%	(*.f64 e v)

Compiler

Compiled 718 to 453 computations (36.9% saved)

simplify195.0ms (2%)

Memory

7.4MiB live, 205.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) e)
✓	cost-diff	0	(sin.f64 v)
✓	cost-diff	1088	(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
✓	cost-diff	0	(/.f64 e (+.f64 e #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) v)
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
✓	cost-diff	1088	(/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e (+.f64 e #s(literal 1 binary64))))
✓	cost-diff	0	(*.f64 e v)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 e v))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
✓	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	(cos.f64 v)
✓	cost-diff	0	(fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))
✓	cost-diff	0	(.f64 (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)) e)

Rules

3 584×	`lower-fma.f32`
3 582×	`lower-fma.f64`
2 630×	`lower-*.f32`
2 622×	`lower-*.f64`
2 054×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	118
0	40	114
1	71	108
2	152	108
3	387	106
4	938	106
5	1988	106
6	3439	106
7	5359	106
8	6956	106
0	8056	106

Stop Event

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

Calls

Call 1

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

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

localize92.0ms (1%)

Memory

-7.2MiB live, 149.6MiB allocated

Localize:

Found 17 expressions of interest:

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

Samples

58.0ms

256×

valid

Compiler

Compiled 123 to 24 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 12.0ms (32.3% of total)

ival-sin: 8.0ms (21.5% of total)

ival-mult: 7.0ms (18.8% of total)

ival-cos: 5.0ms (13.4% of total)

ival-add: 2.0ms (5.4% of total)

ival-sub: 1.0ms (2.7% of total)

ival-neg: 1.0ms (2.7% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory

37.3MiB live, 37.3MiB allocated

Counts

18 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
6.0ms	e	@	inf	(* (* (+ (* (cos v) (neg e)) 1) (sin v)) e)
2.0ms	v	@	0	(* (* (+ (* (cos v) (neg e)) 1) (sin v)) e)
1.0ms	v	@	inf	(* (* (+ (* (cos v) (neg e)) 1) (sin v)) e)
1.0ms	v	@	-inf	(* (* (+ (* (cos v) (neg e)) 1) (sin v)) e)
1.0ms	e	@	0	(* (* (+ (* (cos v) (neg e)) 1) (sin v)) e)

rewrite381.0ms (4%)

Memory

-0.4MiB live, 475.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 778×	`lower-fma.f32`
6 776×	`lower-fma.f64`
5 392×	`lower-*.f32`
5 384×	`lower-*.f64`
4 286×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	99
0	40	95
1	155	87
2	971	87
0	8469	87

Stop Event

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

Counts

18 → 1 195

Calls

Call 1

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

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

simplify734.0ms (7.6%)

Memory

15.3MiB live, 835.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 416×	`lower-fma.f64`
16 416×	`lower-fma.f32`
7 188×	`lower-+.f64`
7 188×	`lower-+.f32`
5 110×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	249	2298
1	830	2211
2	2543	2155
0	8075	2103

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 341

Calls

Call 1

Inputs
(* e (* v (+ 1 (* -1 e))))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))))))))))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(* -1 (* e (* (cos v) (sin v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (* (cos v) (sin v))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(+ 1 (* -1 e))
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2)))))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
1
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(+ 1 (* -1 (* e (cos v))))
(* -1 (* e (cos v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(* -1 (* e (cos v)))
(* -1 (* e (- (cos v) (/ 1 e))))
(* -1 (* e (- (cos v) (/ 1 e))))
(* -1 (* e (- (cos v) (/ 1 e))))
1
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(cos v)
(* e 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)
(* 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 (* 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 (* 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 (* e v))
(/ 1 (* e v))
(/ 1 (* e v))
(/ 1 (* e v))
(/ 1 (* e v))
(/ 1 (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ (+ 1 e) (* e v))
(/ 1 (* e v))
(/ (+ (/ 1 v) (/ e v)) e)
(/ (+ (/ 1 v) (/ e v)) e)
(/ (+ (/ 1 v) (/ e v)) e)
(/ 1 v)
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(/ 1 v)
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(+ (/ 1 v) (/ 1 (* e v)))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
v
(+ v (* -1 (/ v e)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
1
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
1
(- 1 (/ 1 e))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(* e 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))
(* 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))
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)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(/ 1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
(* -1 e)
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)))

Outputs
(* e (* v (+ 1 (* -1 e))))
(*.f64 v (fma.f64 e (neg.f64 e) e))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(.f64 v (.f64 e (fma.f64 v (.f64 v (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64)))) (-.f64 #s(literal 1 binary64) e))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(.f64 v (.f64 e (fma.f64 (.f64 v v) (+.f64 (fma.f64 v (.f64 v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal 1/120 binary64)))) #s(literal -1/6 binary64)) (*.f64 e #s(literal 2/3 binary64))) (-.f64 #s(literal 1 binary64) e))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(.f64 v (-.f64 (fma.f64 v (.f64 v (.f64 e (+.f64 (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (+.f64 #s(literal -1/5040 binary64) (.f64 e #s(literal 4/315 binary64)))) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal 1/120 binary64)))) #s(literal -1/6 binary64)) (.f64 e #s(literal 2/3 binary64))))) e) (.f64 e e)))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))
(* e (sin v))
(*.f64 e (sin.f64 v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (sin.f64 v) (fma.f64 (neg.f64 e) (.f64 e (cos.f64 v)) e))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(.f64 (neg.f64 e) (.f64 (sin.f64 v) (*.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(.f64 (neg.f64 e) (.f64 (sin.f64 v) (*.f64 e (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (.f64 e e) (-.f64 (/.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (cos.f64 v))))
(* v (+ 1 (* -1 e)))
(-.f64 v (*.f64 e v))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))
(.f64 v (fma.f64 v (.f64 v (+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))) (-.f64 #s(literal 1 binary64) e)))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(fma.f64 v (fma.f64 (.f64 v v) (+.f64 (fma.f64 v (.f64 v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal 1/120 binary64)))) #s(literal -1/6 binary64)) (*.f64 e #s(literal 2/3 binary64))) (neg.f64 e)) v)
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))))))))))))
(fma.f64 v (fma.f64 (.f64 v v) (+.f64 (fma.f64 (.f64 v v) (fma.f64 v (.f64 v (+.f64 #s(literal -1/5040 binary64) (.f64 e #s(literal 4/315 binary64)))) (fma.f64 e #s(literal -1/8 binary64) (fma.f64 e #s(literal -1/120 binary64) #s(literal 1/120 binary64)))) #s(literal -1/6 binary64)) (*.f64 e #s(literal 2/3 binary64))) (neg.f64 e)) v)
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(sin v)
(sin.f64 v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(* -1 (* e (* (cos v) (sin v))))
(.f64 (neg.f64 e) (.f64 (sin.f64 v) (cos.f64 v)))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 e (-.f64 (/.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (cos.f64 v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 e (-.f64 (/.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (cos.f64 v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 e (-.f64 (/.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (cos.f64 v))))
(* -1 (* e (* (cos v) (sin v))))
(.f64 (neg.f64 e) (.f64 (sin.f64 v) (cos.f64 v)))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(.f64 e (-.f64 (/.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (cos.f64 v))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(.f64 e (-.f64 (/.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (cos.f64 v))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(.f64 e (-.f64 (/.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (cos.f64 v))))
(+ 1 (* -1 e))
(-.f64 #s(literal 1 binary64) e)
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2)))))
(fma.f64 e (fma.f64 (*.f64 v v) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))))
(-.f64 (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) e)
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))))
(fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 #s(literal 1/720 binary64) (.f64 v v) #s(literal -1/24 binary64)) (*.f64 e #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) e))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+ 1 (* -1 (* e (cos v))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (cos v)))
(neg.f64 (*.f64 e (cos.f64 v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (cos v)))
(neg.f64 (*.f64 e (cos.f64 v)))
(* -1 (* e (- (cos v) (/ 1 e))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (- (cos v) (/ 1 e))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(* -1 (* e (- (cos v) (/ 1 e))))
(-.f64 #s(literal 1 binary64) (*.f64 e (cos.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 (.f64 v 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 v (.f64 v (fma.f64 (.f64 v v) (fma.f64 (*.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(cos v)
(cos.f64 v)
(* e v)
(*.f64 e v)
(* e (+ v (* -1 (* e v))))
(*.f64 v (fma.f64 e (neg.f64 e) e))
(* e (+ v (* -1 (* e v))))
(*.f64 v (fma.f64 e (neg.f64 e) e))
(* e (+ v (* -1 (* e v))))
(*.f64 v (fma.f64 e (neg.f64 e) e))
(* -1 (* (pow e 2) v))
(.f64 e (.f64 e (neg.f64 v)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(.f64 e (.f64 e (-.f64 (/.f64 v e) v)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(.f64 e (.f64 e (-.f64 (/.f64 v e) v)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(.f64 e (.f64 e (-.f64 (/.f64 v e) v)))
(* -1 (* (pow e 2) v))
(.f64 e (.f64 e (neg.f64 v)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(.f64 e (.f64 e (-.f64 (/.f64 v e) v)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(.f64 e (.f64 e (-.f64 (/.f64 v e) v)))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(.f64 e (.f64 e (-.f64 (/.f64 v e) v)))
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(+ v (* -1 (/ v e)))
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e
(* e (+ 1 (* -1 e)))
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(* e (+ 1 (* e (- e 1))))
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(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(fma.f64 (*.f64 e e) (fma.f64 e (-.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) e)
1
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1
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(* e v)
(*.f64 e v)
(* v (+ e (* -1/6 (* e (pow v 2)))))
(.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 e (*.f64 v v)) e))
(* 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 v (.f64 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))
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v
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(fma.f64 (.f64 v v) (.f64 (fma.f64 v (*.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 v (.f64 v v)) v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(sin v)
(sin.f64 v)
(/ 1 e)
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(neg.f64 e)
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1
#s(literal 1 binary64)
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e
(* e (+ 1 (/ 1 e)))
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e
(* e (+ 1 (/ 1 e)))
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(* e (+ 1 (/ 1 e)))
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(* e (+ 1 (/ 1 e)))
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eval205.0ms (2.1%)

Memory: -49.9MiB live, 461.6MiB allocated
Compiler: Compiled 26 564 to 3 609 computations (86.4% saved)

prune234.0ms (2.4%)

Memory

-12.7MiB live, 440.8MiB allocated

Pruning

41 alts after pruning (34 fresh and 7 done)

	Pruned	Kept	Total
New	1 602	21	1 623
Fresh	7	13	20
Picked	3	2	5
Done	0	5	5
Total	1 612	41	1 653

Accuracy

100.0%

Counts

1 653 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.1%	(pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	58.6%	(/.f64 (-.f64 v (*.f64 v e)) (/.f64 #s(literal 1 binary64) e))
	45.0%	(/.f64 (.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) e) (fma.f64 v e v))
	66.3%	(/.f64 (.f64 (neg.f64 (sin.f64 v)) (neg.f64 (.f64 e e))) e)
✓	99.8%	(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
✓	58.8%	(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
	98.0%	(/.f64 (sin.f64 v) (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	98.3%	(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
	38.2%	(/.f64 (sin.f64 v) (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 e (*.f64 e e)))) (fma.f64 e e #s(literal 0 binary64))))
	70.8%	(/.f64 (sin.f64 v) (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 e e))) e))
	26.3%	(/.f64 (neg.f64 (.f64 e (.f64 e e))) (*.f64 (neg.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v)) (fma.f64 e e #s(literal 0 binary64))))
	58.7%	(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
	58.0%	(/.f64 v (/.f64 #s(literal 1 binary64) e))
	60.3%	(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
	98.3%	(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
	58.0%	(/.f64 e (/.f64 #s(literal 1 binary64) v))
	73.0%	(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64))))
	73.3%	(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	57.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
	97.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)))
	57.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
	58.7%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 v (.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
	45.8%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (.f64 e e))) e))
	97.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
	58.5%	(.f64 (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) e) v)
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
	99.5%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e)) (*.f64 e (sin.f64 v)))
	58.7%	(.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) (.f64 v e))
	49.6%	(.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v e v)) e))
	58.3%	(.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) e))
	58.6%	(.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 e (*.f64 v v)) e))
	59.1%	(.f64 v (.f64 e (fma.f64 v (.f64 v (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64)))) (-.f64 #s(literal 1 binary64) e))))
	58.6%	(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
	58.6%	(*.f64 e (/.f64 (-.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)))
	49.9%	(.f64 e (/.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) (fma.f64 v e v)))
✓	58.7%	(.f64 e (-.f64 v (.f64 e v)))
	58.6%	(.f64 e (.f64 (fma.f64 v e v) (.f64 (-.f64 v (.f64 v e)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))))
	58.2%	(.f64 e (.f64 e (-.f64 (/.f64 v e) v)))
	33.3%	(.f64 e (.f64 e (neg.f64 v)))
✓	98.5%	(*.f64 e (sin.f64 v))
✓	58.1%	(*.f64 e v)

Compiler

Compiled 1 348 to 571 computations (57.6% saved)

regimes74.0ms (0.8%)

Memory

26.8MiB live, 102.8MiB allocated

Counts

69 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(.f64 e (.f64 e (neg.f64 v)))
(.f64 e (-.f64 v (.f64 e v)))
(-.f64 v (/.f64 v e))
(.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) (.f64 v e))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 e (*.f64 v v)) e))
(.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(.f64 v (fma.f64 (.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(.f64 e (.f64 e (-.f64 (/.f64 v e) v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(*.f64 e (/.f64 (-.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 (-.f64 v (*.f64 v e)) (/.f64 #s(literal 1 binary64) e))
(.f64 v (.f64 e (fma.f64 v (.f64 v (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64)))) (-.f64 #s(literal 1 binary64) e))))
(.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))
(.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(.f64 e (/.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) (fma.f64 v e v)))
(/.f64 (.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) e) (fma.f64 v e v))
(*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)))
(.f64 e (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))
(.f64 (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) e) v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
(.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v e v)) e))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (.f64 e e))) e))
(.f64 e (.f64 (fma.f64 v e v) (.f64 (-.f64 v (.f64 v e)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 v (.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 (neg.f64 (.f64 e (.f64 e e))) (*.f64 (neg.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v)) (fma.f64 e e #s(literal 0 binary64))))
(/.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 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) #s(literal 1 binary64))) v))
(.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 v (fma.f64 v (.f64 v (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 (.f64 (neg.f64 (sin.f64 v)) (neg.f64 (.f64 e e))) 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 (sin.f64 v) (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 e e))) e))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (sin.f64 v) (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 e (*.f64 e e)))) (fma.f64 e e #s(literal 0 binary64))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(.f64 (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)) e)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e)) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) 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)) e) (sin.f64 v)))
(pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (sin.f64 v) (pow.f64 (pow.f64 e #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 e (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(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 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))

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

Calls

3 calls:

34.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
19.0ms	e
18.0ms	v

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes51.0ms (0.5%)

Memory

4.6MiB live, 84.9MiB allocated

Counts

57 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(.f64 e (.f64 e (neg.f64 v)))
(.f64 e (-.f64 v (.f64 e v)))
(-.f64 v (/.f64 v e))
(.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) (.f64 v e))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 e (*.f64 v v)) e))
(.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(.f64 v (fma.f64 (.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(.f64 e (.f64 e (-.f64 (/.f64 v e) v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(*.f64 e (/.f64 (-.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 (-.f64 v (*.f64 v e)) (/.f64 #s(literal 1 binary64) e))
(.f64 v (.f64 e (fma.f64 v (.f64 v (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64)))) (-.f64 #s(literal 1 binary64) e))))
(.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))
(.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(.f64 e (/.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) (fma.f64 v e v)))
(/.f64 (.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) e) (fma.f64 v e v))
(*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)))
(.f64 e (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))
(.f64 (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) e) v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
(.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v e v)) e))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (.f64 e e))) e))
(.f64 e (.f64 (fma.f64 v e v) (.f64 (-.f64 v (.f64 v e)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 v (.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 (neg.f64 (.f64 e (.f64 e e))) (*.f64 (neg.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v)) (fma.f64 e e #s(literal 0 binary64))))
(/.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 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) #s(literal 1 binary64))) v))
(.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 v (fma.f64 v (.f64 v (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 (.f64 (neg.f64 (sin.f64 v)) (neg.f64 (.f64 e e))) 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 (sin.f64 v) (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 e e))) e))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (sin.f64 v) (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 e (*.f64 e e)))) (fma.f64 e e #s(literal 0 binary64))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(.f64 (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)) e)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e)) (*.f64 e (sin.f64 v)))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)

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

Calls

3 calls:

18.0ms	v
16.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
15.0ms	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)

regimes50.0ms (0.5%)

Memory

-8.3MiB live, 105.9MiB allocated

Counts

56 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(.f64 e (.f64 e (neg.f64 v)))
(.f64 e (-.f64 v (.f64 e v)))
(-.f64 v (/.f64 v e))
(.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) (.f64 v e))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 e (*.f64 v v)) e))
(.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(.f64 v (fma.f64 (.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(.f64 e (.f64 e (-.f64 (/.f64 v e) v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(*.f64 e (/.f64 (-.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 (-.f64 v (*.f64 v e)) (/.f64 #s(literal 1 binary64) e))
(.f64 v (.f64 e (fma.f64 v (.f64 v (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64)))) (-.f64 #s(literal 1 binary64) e))))
(.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))
(.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(.f64 e (/.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) (fma.f64 v e v)))
(/.f64 (.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) e) (fma.f64 v e v))
(*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)))
(.f64 e (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))
(.f64 (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) e) v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
(.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v e v)) e))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (.f64 e e))) e))
(.f64 e (.f64 (fma.f64 v e v) (.f64 (-.f64 v (.f64 v e)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 v (.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 (neg.f64 (.f64 e (.f64 e e))) (*.f64 (neg.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v)) (fma.f64 e e #s(literal 0 binary64))))
(/.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 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) #s(literal 1 binary64))) v))
(.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 v (fma.f64 v (.f64 v (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 (.f64 (neg.f64 (sin.f64 v)) (neg.f64 (.f64 e e))) 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 (sin.f64 v) (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 e e))) e))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (sin.f64 v) (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 e (*.f64 e e)))) (fma.f64 e e #s(literal 0 binary64))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(.f64 (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)) e)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e)) (*.f64 e (sin.f64 v)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes49.0ms (0.5%)

Memory

12.0MiB live, 93.8MiB allocated

Counts

55 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(.f64 e (.f64 e (neg.f64 v)))
(.f64 e (-.f64 v (.f64 e v)))
(-.f64 v (/.f64 v e))
(.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) (.f64 v e))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 e (*.f64 v v)) e))
(.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(.f64 v (fma.f64 (.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(.f64 e (.f64 e (-.f64 (/.f64 v e) v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(*.f64 e (/.f64 (-.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 (-.f64 v (*.f64 v e)) (/.f64 #s(literal 1 binary64) e))
(.f64 v (.f64 e (fma.f64 v (.f64 v (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64)))) (-.f64 #s(literal 1 binary64) e))))
(.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))
(.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(.f64 e (/.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) (fma.f64 v e v)))
(/.f64 (.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) e) (fma.f64 v e v))
(*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)))
(.f64 e (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))
(.f64 (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) e) v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
(.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v e v)) e))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (.f64 e e))) e))
(.f64 e (.f64 (fma.f64 v e v) (.f64 (-.f64 v (.f64 v e)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 v (.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 (neg.f64 (.f64 e (.f64 e e))) (*.f64 (neg.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v)) (fma.f64 e e #s(literal 0 binary64))))
(/.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 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) #s(literal 1 binary64))) v))
(.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 v (fma.f64 v (.f64 v (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 (.f64 (neg.f64 (sin.f64 v)) (neg.f64 (.f64 e e))) 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 (sin.f64 v) (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 e e))) e))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (sin.f64 v) (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 e (*.f64 e e)))) (fma.f64 e e #s(literal 0 binary64))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))
(.f64 (.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v)) e)

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

Calls

3 calls:

17.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
15.0ms	v
14.0ms	e

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)

regimes49.0ms (0.5%)

Memory

-34.6MiB live, 92.8MiB allocated

Counts

54 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(.f64 e (.f64 e (neg.f64 v)))
(.f64 e (-.f64 v (.f64 e v)))
(-.f64 v (/.f64 v e))
(.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) (.f64 v e))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 e (*.f64 v v)) e))
(.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(.f64 v (fma.f64 (.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(.f64 e (.f64 e (-.f64 (/.f64 v e) v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(*.f64 e (/.f64 (-.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 (-.f64 v (*.f64 v e)) (/.f64 #s(literal 1 binary64) e))
(.f64 v (.f64 e (fma.f64 v (.f64 v (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64)))) (-.f64 #s(literal 1 binary64) e))))
(.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))
(.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(.f64 e (/.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) (fma.f64 v e v)))
(/.f64 (.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) e) (fma.f64 v e v))
(*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)))
(.f64 e (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))
(.f64 (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) e) v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
(.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v e v)) e))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (.f64 e e))) e))
(.f64 e (.f64 (fma.f64 v e v) (.f64 (-.f64 v (.f64 v e)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 v (.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 (neg.f64 (.f64 e (.f64 e e))) (*.f64 (neg.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v)) (fma.f64 e e #s(literal 0 binary64))))
(/.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 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) #s(literal 1 binary64))) v))
(.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 v (fma.f64 v (.f64 v (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 (.f64 (neg.f64 (sin.f64 v)) (neg.f64 (.f64 e e))) 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 (sin.f64 v) (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 e e))) e))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (sin.f64 v) (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 e (*.f64 e e)))) (fma.f64 e e #s(literal 0 binary64))))
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))

Outputs
(.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e))

Calls

3 calls:

17.0ms	e
15.0ms	v
13.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 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)

regimes66.0ms (0.7%)

Memory

27.1MiB live, 65.7MiB allocated

Counts

53 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(.f64 e (.f64 e (neg.f64 v)))
(.f64 e (-.f64 v (.f64 e v)))
(-.f64 v (/.f64 v e))
(.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) (.f64 v e))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 e (*.f64 v v)) e))
(.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(.f64 v (fma.f64 (.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(.f64 e (.f64 e (-.f64 (/.f64 v e) v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(*.f64 e (/.f64 (-.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 (-.f64 v (*.f64 v e)) (/.f64 #s(literal 1 binary64) e))
(.f64 v (.f64 e (fma.f64 v (.f64 v (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64)))) (-.f64 #s(literal 1 binary64) e))))
(.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))
(.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(.f64 e (/.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) (fma.f64 v e v)))
(/.f64 (.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) e) (fma.f64 v e v))
(*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)))
(.f64 e (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))
(.f64 (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) e) v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
(.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v e v)) e))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (.f64 e e))) e))
(.f64 e (.f64 (fma.f64 v e v) (.f64 (-.f64 v (.f64 v e)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 v (.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 (neg.f64 (.f64 e (.f64 e e))) (*.f64 (neg.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v)) (fma.f64 e e #s(literal 0 binary64))))
(/.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 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) #s(literal 1 binary64))) v))
(.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 v (fma.f64 v (.f64 v (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
(*.f64 e (sin.f64 v))
(/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e))
(/.f64 (.f64 (neg.f64 (sin.f64 v)) (neg.f64 (.f64 e e))) 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 (sin.f64 v) (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 e e))) e))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (sin.f64 v) (.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (.f64 e (*.f64 e e)))) (fma.f64 e e #s(literal 0 binary64))))

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

Calls

3 calls:

36.0ms	v
14.0ms	e
13.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes55.0ms (0.6%)

Memory

-1.2MiB live, 76.5MiB allocated

Counts

44 → 1

Calls

Call 1

Inputs
(*.f64 e v)
(.f64 e (.f64 e (neg.f64 v)))
(.f64 e (-.f64 v (.f64 e v)))
(-.f64 v (/.f64 v e))
(.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) (.f64 v e))
(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
(.f64 e (fma.f64 v (.f64 (*.f64 v v) #s(literal -1/6 binary64)) v))
(.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 e (*.f64 v v)) e))
(.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
(.f64 v (fma.f64 (.f64 v v) (*.f64 e #s(literal -1/6 binary64)) e))
(/.f64 e (/.f64 #s(literal 1 binary64) v))
(/.f64 v (/.f64 #s(literal 1 binary64) e))
(.f64 e (.f64 e (-.f64 (/.f64 v e) v)))
(/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v))
(/.f64 v (/.f64 (+.f64 e #s(literal 1 binary64)) e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 e v)))
(*.f64 e (/.f64 (-.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 e v)))
(/.f64 (-.f64 v (*.f64 v e)) (/.f64 #s(literal 1 binary64) e))
(.f64 v (.f64 e (fma.f64 v (.f64 v (+.f64 #s(literal -1/6 binary64) (.f64 e #s(literal 2/3 binary64)))) (-.f64 #s(literal 1 binary64) e))))
(.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))
(.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) e))
(/.f64 (*.f64 e v) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (+.f64 e #s(literal -1 binary64))))
(.f64 e (/.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) (fma.f64 v e v)))
(/.f64 (.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) e) (fma.f64 v e v))
(*.f64 (/.f64 e (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)))
(.f64 e (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))
(.f64 (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (*.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) e) v)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))))
(.f64 (.f64 v (-.f64 v (.f64 v (.f64 e e)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v e v)) e))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 (.f64 e e))) e))
(.f64 e (.f64 (fma.f64 v e v) (.f64 (-.f64 v (.f64 v e)) (/.f64 #s(literal 1 binary64) (fma.f64 v e v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))
(/.f64 e (/.f64 (+.f64 e (fma.f64 (*.f64 v v) (fma.f64 e #s(literal -1/2 binary64) (fma.f64 e #s(literal 1/6 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 v (.f64 v #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) v))
(/.f64 (neg.f64 (.f64 e (.f64 e e))) (*.f64 (neg.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v)) (fma.f64 e e #s(literal 0 binary64))))
(/.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 (+.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) #s(literal 1 binary64))) v))
(.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 v (fma.f64 v (.f64 v (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/24 binary64) (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -7/360 binary64)))) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))

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

Calls

3 calls:

28.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
13.0ms	e
12.0ms	v

Results

Accuracy	Segments	Branch
60.3%	1	`v`
60.3%	1	`e`
60.3%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes33.0ms (0.3%)

Memory

2.6MiB live, 44.4MiB allocated

Counts

36 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
10.0ms	v
10.0ms	e

Results

Accuracy	Segments	Branch
59.1%	1	`e`
59.1%	1	`v`
59.1%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes49.0ms (0.5%)

Memory

-8.5MiB live, 30.4MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	e
6.0ms	v
5.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
58.8%	1	`v`
58.8%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
58.8%	1	`e`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes30.0ms (0.3%)

Memory

-24.4MiB live, 14.1MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	(/.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
58.7%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
58.7%	1	`v`
58.7%	1	`e`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes7.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

4 → 1

Calls

Call 1

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

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
58.7%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
58.7%	1	`v`
58.7%	1	`e`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated

Accuracy

Total -16.7b remaining (-62.4%)

Threshold costs -16.7b (-62.4%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 e v)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
58.1%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
58.1%	1	`v`
58.1%	1	`e`

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify9.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative_binary64`
24×	`+-commutative_binary64`
18×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	115
1	84	115
2	105	115
3	116	115
4	122	115
5	123	115

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

soundness1.4s (14.7%)

Memory

-28.8MiB live, 807.2MiB allocated

Rules

16 416×	`lower-fma.f64`
16 416×	`lower-fma.f32`
14 378×	`lower-fma.f64`
14 378×	`lower-fma.f32`
14 120×	`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	340	3830
1	1058	3734
2	3174	3587
0	8246	3376
0	9	29
0	15	29
1	42	29
2	241	29
3	2097	29
0	8370	27
0	249	2298
1	830	2211
2	2543	2155
0	8075	2103
0	21	99
0	40	95
1	155	87
2	971	87
0	8469	87
0	366	3864
1	1126	3828
2	3364	3656
0	8354	3386

Stop Event

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

Compiler

Compiled 400 to 214 computations (46.5% saved)

preprocess193.0ms (2%)

Memory: -1.7MiB live, 241.2MiB allocated
Remove: (negabs v)
Compiler: Compiled 428 to 222 computations (48.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze7.0ms (0.1%)

sample1.2s (12.9%)

preprocess73.0ms (0.8%)

explain133.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize38.0ms (0.4%)

series12.0ms (0.1%)

rewrite365.0ms (3.8%)

simplify376.0ms (3.9%)

eval59.0ms (0.6%)

prune57.0ms (0.6%)

simplify724.0ms (7.5%)

localize75.0ms (0.8%)

series21.0ms (0.2%)

rewrite292.0ms (3%)

simplify369.0ms (3.8%)

eval193.0ms (2%)

prune157.0ms (1.6%)

simplify289.0ms (3%)

localize103.0ms (1.1%)

series23.0ms (0.2%)

rewrite307.0ms (3.2%)

simplify433.0ms (4.5%)

eval133.0ms (1.4%)

prune139.0ms (1.4%)

simplify195.0ms (2%)

localize92.0ms (1%)

series22.0ms (0.2%)

rewrite381.0ms (4%)

simplify734.0ms (7.6%)

eval205.0ms (2.1%)

prune234.0ms (2.4%)

regimes74.0ms (0.8%)

regimes51.0ms (0.5%)

regimes50.0ms (0.5%)

regimes49.0ms (0.5%)

regimes49.0ms (0.5%)

regimes66.0ms (0.7%)

regimes55.0ms (0.6%)

regimes33.0ms (0.3%)

regimes49.0ms (0.5%)

regimes30.0ms (0.3%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

simplify9.0ms (0.1%)

soundness1.4s (14.7%)

preprocess193.0ms (2%)

end0.0ms (0%)

Profiling