Metrics for Trigonometry A

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze16.0ms (0.2%)

Memory

-25.9MiB live, 17.7MiB allocated; 10ms collecting garbage

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)

sample1.7s (21.2%)

Memory

41.8MiB live, 2 517.2MiB allocated; 214ms collecting garbage

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 935.0ms

ival-sin: 267.0ms (28.6% of total)

ival-cos: 242.0ms (25.9% of total)

ival-mult: 187.0ms (20% of total)

ival-<=: 96.0ms (10.3% of total)

ival-add: 59.0ms (6.3% of total)

ival-div: 53.0ms (5.7% of total)

ival-and: 13.0ms (1.4% of total)

exact: 12.0ms (1.3% of total)

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

adjust: 2.0ms (0.2% of total)

Bogosity

explain198.0ms (2.5%)

Memory

-39.9MiB live, 168.7MiB allocated; 61ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

66.0ms

512×

valid

Compiler

Compiled 79 to 31 computations (60.8% saved)

Precisions

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

ival-cos: 27.0ms (53.1% of total)

ival-sin: 11.0ms (21.6% of total)

ival-mult: 7.0ms (13.8% of total)

ival-div: 3.0ms (5.9% of total)

ival-add: 2.0ms (3.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess187.0ms (2.4%)

Memory

29.0MiB live, 172.1MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	61
1	76	57
2	164	55
3	308	55
4	569	55
5	1146	55
6	2627	55
7	5352	55
0	9	11
0	15	11
1	32	11
2	49	11
3	84	11
4	172	11
5	435	11
6	1116	11
7	2483	11
8	4976	11
0	8061	10

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs v)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify113.0ms (1.4%)

Memory

-33.0MiB live, 108.2MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
0	15	32
1	32	32
2	49	32
3	84	32
4	172	32
5	435	32
6	1116	32
7	2483	32
8	4976	32
0	8061	30

Stop Event

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

Calls

Call 1

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

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

localize33.0ms (0.4%)

Memory

10.5MiB live, 56.4MiB allocated; 2ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 v)
accuracy	0.01953125	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
accuracy	0.1015625	(*.f64 e (sin.f64 v))
accuracy	0.12890625	(*.f64 e (cos.f64 v))

Samples

26.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sin: 6.0ms (34.7% of total)

ival-cos: 5.0ms (28.9% of total)

ival-mult: 3.0ms (17.3% of total)

ival-div: 1.0ms (5.8% of total)

ival-add: 1.0ms (5.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Counts

6 → 41

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

Calls

6 calls:

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

simplify148.0ms (1.9%)

Memory

9.4MiB live, 195.6MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	841
1	643	829
2	2192	788
3	7356	761
0	8175	705

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 39

Calls

Call 1

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

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

rewrite166.0ms (2.1%)

Memory

-7.6MiB live, 183.1MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	15	29
1	49	29
2	256	29
3	2195	29
0	9771	27

Stop Event

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

Counts

6 → 337

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

eval61.0ms (0.8%)

Memory: 21.7MiB live, 119.7MiB allocated; 11ms collecting garbage
Compiler: Compiled 11 071 to 1 375 computations (87.6% saved)

prune24.0ms (0.3%)

Memory

-12.2MiB live, 32.9MiB allocated; 7ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	364	9	373
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	365	9	374

Accuracy

99.9%

Counts

374 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) #s(literal 1 binary64) (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (.f64 (neg.f64 e) (cos.f64 v))))
	99.8%	(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
▶	98.5%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
▶	99.7%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))))
▶	99.8%	(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
	98.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (.f64 (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (sin.f64 v)) e (sin.f64 v)) e))
▶	47.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
	98.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
	97.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))

Compiler

Compiled 356 to 242 computations (32% saved)

simplify127.0ms (1.6%)

Memory

19.9MiB live, 110.7MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ 1 (* e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))))
cost-diff	0	(sin.f64 v)
cost-diff	0	(*.f64 e (sin.f64 v))
cost-diff	0	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))))
cost-diff	0	(cos.f64 v)
cost-diff	0	(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
cost-diff	0	(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
cost-diff	0	(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
cost-diff	0	#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
cost-diff	0	(sin.f64 v)
cost-diff	0	(*.f64 e (sin.f64 v))
cost-diff	0	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
cost-diff	0	(+.f64 #s(literal 1 binary64) e)
cost-diff	0	(/.f64 e (+.f64 #s(literal 1 binary64) e))
cost-diff	0	(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
cost-diff	0	(sin.f64 v)
cost-diff	0	(.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))))
cost-diff	1	(.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (.f64 (neg.f64 e) (cos.f64 v)))
cost-diff	14	(fma.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) #s(literal 1 binary64) (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (.f64 (neg.f64 e) (cos.f64 v))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	287
0	62	269
1	117	268
2	305	267
3	1021	267
4	2269	267
5	3943	267
6	6940	267
0	8003	266

Stop Event

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

Calls

Call 1

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

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

localize170.0ms (2.2%)

Memory

-8.4MiB live, 142.3MiB allocated; 9ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e))
accuracy	0.01953125	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))))
accuracy	0.1015625	(*.f64 e (sin.f64 v))
accuracy	0.16796875	(*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))
accuracy	0.0	(sin.f64 v)
accuracy	0.0	(cos.f64 v)
accuracy	0.03515625	(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy	0.12109375	(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
accuracy	0.0	(sin.f64 v)
accuracy	0.01953125	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
accuracy	0.1015625	(*.f64 e (sin.f64 v))
accuracy	0.8466532305282769	#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
accuracy	0.0	(+.f64 #s(literal 1 binary64) e)
accuracy	0.015625	(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
accuracy	0.0234375	(/.f64 e (+.f64 #s(literal 1 binary64) e))
accuracy	33.545754999529784	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
accuracy	0.12337875976844201	(.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (.f64 (neg.f64 e) (cos.f64 v)))
accuracy	0.12890625	(*.f64 (neg.f64 e) (cos.f64 v))
accuracy	0.12890625	(*.f64 (cos.f64 v) e)
accuracy	0.1484375	(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))

Samples

142.0ms

256×

valid

Compiler

Compiled 255 to 32 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-mult: 61.0ms (53.5% of total)

ival-neg: 25.0ms (21.9% of total)

ival-div: 7.0ms (6.1% of total)

ival-sin: 6.0ms (5.3% of total)

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

ival-add: 4.0ms (3.5% of total)

ival-sub: 2.0ms (1.8% of total)

ival-pow2: 2.0ms (1.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series104.0ms (1.3%)

Memory

-39.9MiB live, 55.4MiB allocated; 11ms collecting garbage

Counts

22 → 129

Calls

Call 1

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

Outputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (pow (cos v) 2) (sin v)))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v)))))))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (* -1 (* (pow e 2) (* (pow (cos v) 3) (sin v))))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (* (pow e 2) (+ (* -1 (* (pow e 2) (* (pow (cos v) 5) (sin v)))) (* -1 (* (pow (cos v) 3) (sin v)))))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (* (pow e 2) (+ (* -1 (* (pow (cos v) 3) (sin v))) (* (pow e 2) (+ (* -1 (* (pow e 2) (* (pow (cos v) 7) (sin v)))) (* -1 (* (pow (cos v) 5) (sin v)))))))))
(* e (+ (sin v) (* (pow e 2) (* (pow (cos v) 2) (sin v)))))
(* e (+ (sin v) (* (pow e 2) (- (* (pow e 2) (* (pow (cos v) 4) (sin v))) (* -1 (* (pow (cos v) 2) (sin v)))))))
(* e (+ (sin v) (* (pow e 2) (- (* (pow e 2) (- (* (pow e 2) (* (pow (cos v) 6) (sin v))) (* -1 (* (pow (cos v) 4) (sin v))))) (* -1 (* (pow (cos v) 2) (sin v)))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
1
(+ 1 e)
(+ 1 (* e (cos v)))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))
(* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))
(* (pow e 2) (pow (cos v) 2))
(* e (cos v))
(* -1 (* e (cos v)))
(/ -1 e)
(/ (- (* -1 (* e (cos v))) 1) e)
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))))
(+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))
(+ (/ (sin v) (cos v)) (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (* (pow e 4) (pow (cos v) 5)))))
(+ (/ (sin v) (cos v)) (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (+ (/ (sin v) (* (pow e 4) (pow (cos v) 5))) (/ (sin v) (* (pow e 6) (pow (cos v) 7))))))
(* -1 (/ (sin v) (* e (pow (cos v) 2))))
(/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 4) (pow (cos v) 6)))) (* -1 (/ (sin v) (pow (cos v) 2)))) (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 6) (pow (cos v) 8)))) (* -1 (/ (sin v) (pow (cos v) 2)))) (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (/ (sin v) (* (pow e 4) (pow (cos v) 6))))) e)
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(* e (+ 1 (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(/ 1 (cos v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))))
(* -1 (cos v))
(* -1 (+ (cos v) (/ 1 e)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(* -1 (/ (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (/ (sin v) (pow (cos v) 2))) e))
(* -1 (/ (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (+ (/ (sin v) (* (pow e 4) (pow (cos v) 6))) (/ (sin v) (pow (cos v) 2)))) e))
(* -1 (/ (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (+ (/ (sin v) (* (pow e 4) (pow (cos v) 6))) (+ (/ (sin v) (* (pow e 6) (pow (cos v) 8))) (/ (sin v) (pow (cos v) 2))))) e))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (/ e (- 1 (pow e 2)))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* (pow v 2) (- (+ (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (* -1/6 (/ e (- 1 (pow e 2))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* (pow v 2) (- (+ (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* -1 (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (* 1/120 (/ e (- 1 (pow e 2))))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* (pow v 2) (- (+ (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* -1 (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (+ (* 1/120 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* -1 (- (* -4/315 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))) (* -1/5040 (/ e (- 1 (pow e 2))))) (+ (* -1/3 (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))
(* -1 (/ (* (pow e 2) v) (- 1 (pow e 2))))
(* v (+ (* -1 (* (pow v 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2))))) (* -1 (/ (pow e 2) (- 1 (pow e 2))))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2))))))) (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2))))))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (* (pow v 2) (+ (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* -4/315 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2)))))))) (* -1 (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2))))))))))))
(/ (* e v) (- 1 (pow e 2)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* 1/120 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (* -1/5040 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2)))))))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2)))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* 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 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(/ e (+ 1 e))
(+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e)))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))
(+ 1 (* -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)))
(pow e 2)
(+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2))
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2))
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 2))
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* -1 e)
(+ (* -1 e) (* 1/2 (* e (pow v 2))))
(+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e))))
(+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2))))))))
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e))))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* -1 (+ 1 (/ 1 e)))
(- (* 1/2 (pow v 2)) (+ 1 (/ 1 e)))
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e)))
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e)))
(+ (* -1 (/ (* (pow e 2) (* (cos v) (sin v))) (- 1 (* (pow e 2) (pow (cos v) 2))))) (/ (* e (sin v)) (- 1 (* (pow e 2) (pow (cos v) 2)))))
(* -1 (/ (* (pow e 2) (* (cos v) (sin v))) (- 1 (* (pow e 2) (pow (cos v) 2)))))
(/ (* e (sin v)) (- 1 (* (pow e 2) (pow (cos v) 2))))
(sin v)
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(cos v)

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	v	@	-inf	((+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v))) (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (pow (* (cos v) e) 2) (* (cos v) e) (* (neg e) (cos v)) (* (neg e) (- (neg (cos v)) (/ 1 e))) (- (neg (cos v)) (/ 1 e)))
38.0ms	e	@	0	((+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v))) (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (pow (* (cos v) e) 2) (* (cos v) e) (* (neg e) (cos v)) (* (neg e) (- (neg (cos v)) (/ 1 e))) (- (neg (cos v)) (/ 1 e)))
10.0ms	v	@	0	((+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v))) (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (pow (* (cos v) e) 2) (* (cos v) e) (* (neg e) (cos v)) (* (neg e) (- (neg (cos v)) (/ 1 e))) (- (neg (cos v)) (/ 1 e)))
5.0ms	v	@	inf	((+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v))) (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (pow (* (cos v) e) 2) (* (cos v) e) (* (neg e) (cos v)) (* (neg e) (- (neg (cos v)) (/ 1 e))) (- (neg (cos v)) (/ 1 e)))
5.0ms	e	@	inf	((+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v))) (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (* (/ e (+ (* (cos v) e) 1)) (sin v)) (/ e (+ (* (cos v) e) 1)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (pow (* (cos v) e) 2) (* (cos v) e) (* (neg e) (cos v)) (* (neg e) (- (neg (cos v)) (/ 1 e))) (- (neg (cos v)) (/ 1 e)))

simplify296.0ms (3.8%)

Memory

29.7MiB live, 223.0MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	602	3874
1	2022	3753
2	7186	3674
0	8693	3548

Stop Event

1×	iter limit
1×	node limit

Counts

129 → 127

Calls

Call 1

Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (pow (cos v) 2) (sin v)))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v)))))))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (* -1 (* (pow e 2) (* (pow (cos v) 3) (sin v))))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (* (pow e 2) (+ (* -1 (* (pow e 2) (* (pow (cos v) 5) (sin v)))) (* -1 (* (pow (cos v) 3) (sin v)))))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (* (pow e 2) (+ (* -1 (* (pow (cos v) 3) (sin v))) (* (pow e 2) (+ (* -1 (* (pow e 2) (* (pow (cos v) 7) (sin v)))) (* -1 (* (pow (cos v) 5) (sin v)))))))))
(* e (+ (sin v) (* (pow e 2) (* (pow (cos v) 2) (sin v)))))
(* e (+ (sin v) (* (pow e 2) (- (* (pow e 2) (* (pow (cos v) 4) (sin v))) (* -1 (* (pow (cos v) 2) (sin v)))))))
(* e (+ (sin v) (* (pow e 2) (- (* (pow e 2) (- (* (pow e 2) (* (pow (cos v) 6) (sin v))) (* -1 (* (pow (cos v) 4) (sin v))))) (* -1 (* (pow (cos v) 2) (sin v)))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
1
(+ 1 e)
(+ 1 (* e (cos v)))
(* e (+ 1 (* -1 (* e (cos v)))))
(* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))
(* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))
(* (pow e 2) (pow (cos v) 2))
(* e (cos v))
(* -1 (* e (cos v)))
(/ -1 e)
(/ (- (* -1 (* e (cos v))) 1) e)
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))))
(+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))
(+ (/ (sin v) (cos v)) (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (* (pow e 4) (pow (cos v) 5)))))
(+ (/ (sin v) (cos v)) (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (+ (/ (sin v) (* (pow e 4) (pow (cos v) 5))) (/ (sin v) (* (pow e 6) (pow (cos v) 7))))))
(* -1 (/ (sin v) (* e (pow (cos v) 2))))
(/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 4) (pow (cos v) 6)))) (* -1 (/ (sin v) (pow (cos v) 2)))) (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 6) (pow (cos v) 8)))) (* -1 (/ (sin v) (pow (cos v) 2)))) (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (/ (sin v) (* (pow e 4) (pow (cos v) 6))))) e)
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(* e (+ 1 (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(/ 1 (cos v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (/ 1 (* e (pow (cos v) 2))))
(- (+ (/ 1 (cos v)) (/ 1 (* (pow e 2) (pow (cos v) 3)))) (+ (/ 1 (* e (pow (cos v) 2))) (/ 1 (* (pow e 3) (pow (cos v) 4)))))
(* -1 (cos v))
(* -1 (+ (cos v) (/ 1 e)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(* -1 (/ (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (/ (sin v) (pow (cos v) 2))) e))
(* -1 (/ (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (+ (/ (sin v) (* (pow e 4) (pow (cos v) 6))) (/ (sin v) (pow (cos v) 2)))) e))
(* -1 (/ (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (+ (/ (sin v) (* (pow e 4) (pow (cos v) 6))) (+ (/ (sin v) (* (pow e 6) (pow (cos v) 8))) (/ (sin v) (pow (cos v) 2))))) e))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ (* -1 (/ (- (/ 1 (pow (cos v) 2)) (/ 1 (* e (pow (cos v) 3)))) e)) (/ 1 (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow (cos v) 3)) (/ 1 (* e (pow (cos v) 4)))) e)) (/ 1 (pow (cos v) 2))) e)) (/ 1 (cos v)))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (/ e (- 1 (pow e 2)))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* (pow v 2) (- (+ (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (* -1/6 (/ e (- 1 (pow e 2))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* (pow v 2) (- (+ (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* -1 (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (* 1/120 (/ e (- 1 (pow e 2))))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* (pow v 2) (- (+ (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* -1 (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (+ (* 1/120 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* -1 (- (* -4/315 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))) (* -1/5040 (/ e (- 1 (pow e 2))))) (+ (* -1/3 (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))
(* -1 (/ (* (pow e 2) v) (- 1 (pow e 2))))
(* v (+ (* -1 (* (pow v 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2))))) (* -1 (/ (pow e 2) (- 1 (pow e 2))))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2))))))) (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2))))))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (* (pow v 2) (+ (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (* (pow v 2) (+ (* -1 (* (pow v 2) (- (* -4/315 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2)))))))) (* -1 (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2))))))))))))
(/ (* e v) (- 1 (pow e 2)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* 1/120 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (* -1/5040 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2)))))))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2)))))
(* v (+ 1 (* -1/6 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* 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 (+ e (* -1/2 (* e (pow v 2)))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(/ e (+ 1 e))
(+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e)))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))
(+ 1 (* -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)))
(pow e 2)
(+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2))
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2))
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 2))
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* -1 e)
(+ (* -1 e) (* 1/2 (* e (pow v 2))))
(+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e))))
(+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2))))))))
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e))))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(* -1 (+ 1 (/ 1 e)))
(- (* 1/2 (pow v 2)) (+ 1 (/ 1 e)))
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e)))
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e)))
(+ (* -1 (/ (* (pow e 2) (* (cos v) (sin v))) (- 1 (* (pow e 2) (pow (cos v) 2))))) (/ (* e (sin v)) (- 1 (* (pow e 2) (pow (cos v) 2)))))
(* -1 (/ (* (pow e 2) (* (cos v) (sin v))) (- 1 (* (pow e 2) (pow (cos v) 2)))))
(/ (* e (sin v)) (- 1 (* (pow e 2) (pow (cos v) 2))))
(sin v)
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ e (+ 1 (* e (cos v))))
(cos v)

Outputs
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (fma.f64 (neg.f64 e) (.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e)
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (pow (cos v) 2) (sin v)))))))
(.f64 (fma.f64 (.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e (neg.f64 (cos.f64 v)))) e (sin.f64 v)) e)
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v)))))))))
(.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))) e (sin.f64 v)) e)
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(.f64 (.f64 (*.f64 (neg.f64 e) e) (cos.f64 v)) (sin.f64 v))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (* -1 (* (pow e 2) (* (pow (cos v) 3) (sin v))))))
(.f64 (.f64 (neg.f64 e) e) (.f64 (sin.f64 v) (+.f64 (cos.f64 v) (.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (* (pow e 2) (+ (* -1 (* (pow e 2) (* (pow (cos v) 5) (sin v)))) (* -1 (* (pow (cos v) 3) (sin v)))))))
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(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (* (pow e 2) (+ (* -1 (* (pow (cos v) 3) (sin v))) (* (pow e 2) (+ (* -1 (* (pow e 2) (* (pow (cos v) 7) (sin v)))) (* -1 (* (pow (cos v) 5) (sin v)))))))))
(.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (.f64 (fma.f64 (pow.f64 (neg.f64 (cos.f64 v)) #s(literal 3 binary64)) (sin.f64 v) (.f64 (.f64 (neg.f64 e) e) (.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 7 binary64)) (.f64 e e) (pow.f64 (cos.f64 v) #s(literal 5 binary64)))))) (.f64 e e))) (.f64 e e))
(* e (+ (sin v) (* (pow e 2) (* (pow (cos v) 2) (sin v)))))
(.f64 (.f64 (fma.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e #s(literal 1 binary64)) (sin.f64 v)) e)
(* e (+ (sin v) (* (pow e 2) (- (* (pow e 2) (* (pow (cos v) 4) (sin v))) (* -1 (* (pow (cos v) 2) (sin v)))))))
(.f64 (fma.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e) e) (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) (*.f64 e e) (sin.f64 v)) e)
(* e (+ (sin v) (* (pow e 2) (- (* (pow e 2) (- (* (pow e 2) (* (pow (cos v) 6) (sin v))) (* -1 (* (pow (cos v) 4) (sin v))))) (* -1 (* (pow (cos v) 2) (sin v)))))))
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(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(.f64 (fma.f64 (.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e (neg.f64 (cos.f64 v)))) e (sin.f64 v)) e)
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (.f64 (neg.f64 e) (*.f64 (sin.f64 v) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))))) e (sin.f64 v)) e)
(* e v)
(*.f64 e v)
(* e (+ v (* -1 (* e v))))
(*.f64 (fma.f64 (neg.f64 v) e v) e)
(* e (+ v (* e (- (* e v) v))))
(.f64 (fma.f64 (-.f64 (.f64 e v) v) e v) e)
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (neg.f64 v) e v) e) v) e v) e)
e
(* e (+ 1 (* -1 e)))
(*.f64 (-.f64 #s(literal 1 binary64) e) e)
(* e (+ 1 (* e (- e 1))))
(*.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e)
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(fma.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) #s(literal 1 binary64)) (.f64 e e) e)
1
#s(literal 1 binary64)
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* e (+ 1 (* -1 (* e (cos v)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e)) e)
(* e (+ 1 (* e (- (* e (pow (cos v) 2)) (cos v)))))
(fma.f64 (-.f64 (.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v)) (.f64 e e) e)
(* e (+ 1 (* e (- (* e (- (* -1 (* e (pow (cos v) 3))) (* -1 (pow (cos v) 2)))) (cos v)))))
(fma.f64 (-.f64 (.f64 (fma.f64 (neg.f64 e) (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) e) (cos.f64 v)) (.f64 e e) e)
(* (pow e 2) (pow (cos v) 2))
(.f64 (.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e)
(* e (cos v))
(*.f64 (cos.f64 v) e)
(* -1 (* e (cos v)))
(*.f64 (neg.f64 e) (cos.f64 v))
(/ -1 e)
(/.f64 #s(literal -1 binary64) e)
(/ (- (* -1 (* e (cos v))) 1) e)
(/.f64 (-.f64 (*.f64 (neg.f64 e) (cos.f64 v)) #s(literal 1 binary64)) e)
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))))
(+.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (cos.f64 v))) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 e #s(literal 3 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (+.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 v) e) #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (cos.f64 v))) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (cos.f64 v))))
(+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)) (cos.f64 v))
(+ (/ (sin v) (cos v)) (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (/ (sin v) (* (pow e 4) (pow (cos v) 5)))))
(+.f64 (+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 e #s(literal 4 binary64)) (pow.f64 (cos.f64 v) #s(literal 5 binary64)))) (/.f64 (sin.f64 v) (.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) e))) (/.f64 (sin.f64 v) (cos.f64 v)))
(+ (/ (sin v) (cos v)) (+ (/ (sin v) (* (pow e 2) (pow (cos v) 3))) (+ (/ (sin v) (* (pow e 4) (pow (cos v) 5))) (/ (sin v) (* (pow e 6) (pow (cos v) 7))))))
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(* -1 (/ (sin v) (* e (pow (cos v) 2))))
(/.f64 (/.f64 (sin.f64 v) e) (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
(/ (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)
(/.f64 (+.f64 (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) (.f64 (.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e) e))) (neg.f64 e))
(/ (- (+ (* -1 (/ (sin v) (* (pow e 4) (pow (cos v) 6)))) (* -1 (/ (sin v) (pow (cos v) 2)))) (/ (sin v) (* (pow e 2) (pow (cos v) 4)))) e)
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 v)) (pow.f64 e #s(literal 4 binary64))) (pow.f64 (cos.f64 v) #s(literal 6 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (/.f64 (sin.f64 v) (.f64 (.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e) e))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 6) (pow (cos v) 8)))) (* -1 (/ (sin v) (pow (cos v) 2)))) (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (/ (sin v) (* (pow e 4) (pow (cos v) 6))))) e)
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 v)) (pow.f64 (cos.f64 v) #s(literal 8 binary64))) (pow.f64 e #s(literal 6 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) (+.f64 (/.f64 (sin.f64 v) (.f64 (pow.f64 e #s(literal 4 binary64)) (pow.f64 (cos.f64 v) #s(literal 6 binary64)))) (/.f64 (sin.f64 v) (.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 4 binary64)) e) e)))) e)
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
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(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 e #s(literal 3 binary64))) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 4 binary64))) (-.f64 (/.f64 (sin.f64 v) (cos.f64 v)) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 3 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))) e)))
v
(+ v (* -1 (/ v e)))
(-.f64 v (/.f64 v e))
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(-.f64 (+.f64 (/.f64 (/.f64 v e) e) v) (/.f64 v e))
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(- 1 (/ 1 e))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) e) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
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(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(* e (+ (cos v) (/ 1 e)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(/ 1 (cos v))
(/.f64 #s(literal 1 binary64) (cos.f64 v))
(- (/ 1 (cos v)) (/ 1 (* e (pow (cos v) 2))))
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(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (-.f64 (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/120 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) e) (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/24 binary64) e) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e))) (.f64 v v) (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/5040 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) e (.f64 (.f64 #s(literal -1/2 binary64) e) (-.f64 (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/120 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) e) (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/24 binary64) e) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e))))) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v) (-.f64 (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/120 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) e) (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/24 binary64) e) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)))) (.f64 v v) (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(.f64 (fma.f64 (.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) e)) v) v (.f64 #s(literal -1/6 binary64) e)) (.f64 e v))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 (.f64 (.f64 v v) e) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) e) #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) e)) v) v (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) (+.f64 #s(literal 1 binary64) e))
(/ e (+ 1 e))
(/.f64 e (+.f64 #s(literal 1 binary64) e))
(+ (* 1/2 (/ (* (pow e 2) (pow v 2)) (pow (+ 1 e) 2))) (/ e (+ 1 e)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 v v) e) e) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) e)) e) (+.f64 #s(literal 1 binary64) e))
(+ (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))
(fma.f64 (fma.f64 (.f64 (neg.f64 v) v) (fma.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 #s(literal 1/24 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(+ (* (pow v 2) (- (* (pow v 2) (- (* -1 (* (pow v 2) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (+ (* 1/48 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/2 (/ (* e (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))))))) (+ (* -1/4 (/ (pow e 3) (pow (+ 1 e) 3))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))
(fma.f64 (fma.f64 (-.f64 (.f64 (.f64 (neg.f64 v) v) (fma.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) e) (fma.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 #s(literal 1/24 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 #s(literal -1/720 binary64) e) e) (+.f64 #s(literal 1 binary64) e))) (+.f64 #s(literal 1 binary64) e)))) (fma.f64 (pow.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 3 binary64)) #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 #s(literal 1/24 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (.f64 v v) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 e e)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (*.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e)))
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64)) v) v) #s(literal 1/2 binary64)) (.f64 v v) #s(literal 1 binary64))
(pow e 2)
(*.f64 e e)
(+ (* -1 (* (pow e 2) (pow v 2))) (pow e 2))
(fma.f64 (.f64 (.f64 (neg.f64 e) e) v) v (*.f64 e e))
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* 1/3 (* (pow e 2) (pow v 2))))) (pow e 2))
(fma.f64 (fma.f64 (.f64 (.f64 v v) #s(literal 1/3 binary64)) (.f64 e e) (.f64 (neg.f64 e) e)) (.f64 v v) (.f64 e e))
(+ (* (pow v 2) (+ (* -1 (pow e 2)) (* (pow v 2) (+ (* -2/45 (* (pow e 2) (pow v 2))) (* 1/3 (pow e 2)))))) (pow e 2))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 (.f64 (.f64 v v) e) e) (.f64 #s(literal 1/3 binary64) (.f64 e e))) v) v (.f64 (neg.f64 e) e)) (.f64 v v) (*.f64 e e))
(+ e (* -1/2 (* e (pow v 2))))
(fma.f64 (.f64 (.f64 v v) e) #s(literal -1/2 binary64) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) e)
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) e)) v) v (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) e)
(* -1 e)
(neg.f64 e)
(+ (* -1 e) (* 1/2 (* e (pow v 2))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 v v)) e (neg.f64 e))
(+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal 1/2 binary64) e)) v) v (neg.f64 e))
(+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2))))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal -1/24 binary64) e)) v) v (.f64 #s(literal 1/2 binary64) e)) (.f64 v v) (neg.f64 e))
(+ (* -1/2 (* e (pow v 2))) (* e (+ 1 (/ 1 e))))
(fma.f64 (.f64 (.f64 v v) e) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) e))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) e) #s(literal 1 binary64))
(+ (* e (+ 1 (/ 1 e))) (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/720 binary64) (.f64 #s(literal 1/24 binary64) e)) v) v (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) (+.f64 #s(literal 1 binary64) e))
(* -1 (+ 1 (/ 1 e)))
(+.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64))
(- (* 1/2 (pow v 2)) (+ 1 (/ 1 e)))
(-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 v v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))
(- (* (pow v 2) (+ 1/2 (* -1/24 (pow v 2)))) (+ 1 (/ 1 e)))
(-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 v v) #s(literal 1/2 binary64)) v) v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(- (* (pow v 2) (+ 1/2 (* (pow v 2) (- (* 1/720 (pow v 2)) 1/24)))) (+ 1 (/ 1 e)))
(-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 v v)) #s(literal 1/24 binary64)) (*.f64 v v) #s(literal 1/2 binary64)) v) v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)))
(+ (* -1 (/ (* (pow e 2) (* (cos v) (sin v))) (- 1 (* (pow e 2) (pow (cos v) 2))))) (/ (* e (sin v)) (- 1 (* (pow e 2) (pow (cos v) 2)))))
(/.f64 (.f64 (fma.f64 (neg.f64 e) (.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e)))
(* -1 (/ (* (pow e 2) (* (cos v) (sin v))) (- 1 (* (pow e 2) (pow (cos v) 2)))))
(.f64 (.f64 (neg.f64 e) e) (.f64 (cos.f64 v) (/.f64 (sin.f64 v) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e)))))
(/ (* e (sin v)) (- 1 (* (pow e 2) (pow (cos v) 2))))
(.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e))))
(sin v)
(sin.f64 v)
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/ e (+ 1 (* e (cos v))))
(/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(cos v)
(cos.f64 v)

rewrite775.0ms (9.8%)

Memory

-60.0MiB live, 432.9MiB allocated; 1.0s collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	226
0	62	219
1	220	197
2	1321	197
0	8332	197

Stop Event

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

Counts

22 → 701

Calls

Call 1

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

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

eval202.0ms (2.6%)

Memory: 26.1MiB live, 253.3MiB allocated; 36ms collecting garbage
Compiler: Compiled 39 812 to 3 391 computations (91.5% saved)

prune63.0ms (0.8%)

Memory

-18.1MiB live, 83.1MiB allocated; 50ms collecting garbage

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	865	18	883
Fresh	1	3	4
Picked	2	3	5
Done	0	0	0
Total	868	24	892

Accuracy

100.0%

Counts

892 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.6%	(fma.f64 (/.f64 (pow.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v))) (/.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (neg.f64 e)) (cos.f64 v)) (.f64 (.f64 (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) (cos.f64 v)) (neg.f64 e))) (.f64 (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
	68.7%	(fma.f64 (/.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v))) (/.f64 (.f64 (sin.f64 v) (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (neg.f64 e)) (cos.f64 v)) (.f64 (.f64 (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) (cos.f64 v)) (neg.f64 e))) (.f64 (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
	68.7%	(fma.f64 (/.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) (/.f64 (.f64 (sin.f64 v) (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v))) (/.f64 (-.f64 e (.f64 e (.f64 (neg.f64 e) (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (neg.f64 e)) (cos.f64 v)) (.f64 (.f64 (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) (cos.f64 v)) (neg.f64 e))) (.f64 (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
▶	99.8%	(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
	98.5%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
✓	98.5%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	66.8%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))))
✓	99.7%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))))
	97.2%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))))
	47.0%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	47.2%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
▶	98.5%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
✓	99.8%	(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
	98.4%	(.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e)) e)) (sin.f64 v))
	47.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
	98.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
	97.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
▶	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
	46.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e)) v))
	46.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
	46.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
▶	46.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
▶	98.5%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 (fma.f64 (neg.f64 e) (.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e))

Compiler

Compiled 1 555 to 795 computations (48.9% saved)

simplify120.0ms (1.5%)

Memory

12.1MiB live, 154.2MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	254
0	65	235
1	119	231
2	312	231
3	1021	231
4	2157	231
5	3600	231
6	5964	231
0	8102	230

Stop Event

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

Calls

Call 1

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

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

localize139.0ms (1.8%)

Memory

28.4MiB live, 299.3MiB allocated; 52ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (neg.f64 e) (*.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v))
accuracy	0.10546875	(.f64 (fma.f64 (neg.f64 e) (.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e)
accuracy	0.2265625	(*.f64 (cos.f64 v) (sin.f64 v))
accuracy	0.8900147091355313	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 (fma.f64 (neg.f64 e) (.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e))
accuracy	0.0	(sin.f64 v)
accuracy	0.02734375	(/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
accuracy	0.11328125	(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
accuracy	0.8466532305282769	#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
accuracy	0.0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
accuracy	0.015625	(*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v)
accuracy	33.545754999529784	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
accuracy	62.99849229380903	#s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)))
accuracy	0.0	(*.f64 e v)
accuracy	1.6786231437029229	#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
accuracy	33.545754999529784	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
accuracy	0.0	(sin.f64 v)
accuracy	0.0	(cos.f64 v)
accuracy	0.01953125	(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy	0.1015625	(*.f64 (sin.f64 v) e)

Samples

109.0ms

256×

valid

Compiler

Compiled 193 to 36 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 28.0ms (31.8% of total)

ival-sin: 21.0ms (23.9% of total)

ival-add: 16.0ms (18.2% of total)

ival-div: 11.0ms (12.5% of total)

ival-cos: 5.0ms (5.7% of total)

ival-sub: 2.0ms (2.3% of total)

ival-pow2: 2.0ms (2.3% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.6%)

Memory

-13.8MiB live, 89.0MiB allocated; 27ms collecting garbage

Counts

20 → 98

Calls

Call 1

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

Outputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
1
(+ 1 (* e (cos v)))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(/ -1 e)
(/ (- e 1) e)
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (pow (cos v) 2) (sin v)))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v)))))))))
(* -1 e)
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(/ (sin v) (* e (cos v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
(* -1 (* e (* (cos v) (sin v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin 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))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* v (+ 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))))
(+ 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)))))))
(/ v (+ 1 e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (* 2/3 e) 1/6)))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 2/3 e) (* (pow v 2) (+ 1/120 (* -2/15 e)))) 1/6)))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 2/3 e) (* (pow v 2) (+ 1/120 (+ (* -2/15 e) (* (pow v 2) (- (* 4/315 e) 1/5040)))))) 1/6)))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (/ e (- 1 (pow e 2)))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* (pow v 2) (- (+ (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (* -1/6 (/ e (- 1 (pow e 2))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* (pow v 2) (- (+ (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* -1 (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (* 1/120 (/ e (- 1 (pow e 2))))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* (pow v 2) (- (+ (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* -1 (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (+ (* 1/120 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* -1 (- (* -4/315 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))) (* -1/5040 (/ e (- 1 (pow e 2))))) (+ (* -1/3 (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))
(* e (* v (+ 1 (* -1 e))))
(* v (+ (* e (* (pow v 2) (- (* 2/3 e) 1/6))) (* e (+ 1 (* -1 e)))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ 1/120 (* -2/15 e)))) (* e (- (* 2/3 e) 1/6))))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (- (* 2/3 e) 1/6)) (* (pow v 2) (+ (* e (* (pow v 2) (- (* 4/315 e) 1/5040))) (* e (+ 1/120 (* -2/15 e)))))))))
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(* v (+ 1 (* -2/3 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 2/15 (* -4/315 (pow v 2)))) 2/3))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(+ (* -1 (/ (* (pow e 2) (* (cos v) (sin v))) (- 1 (* (pow e 2) (pow (cos v) 2))))) (/ (* e (sin v)) (- 1 (* (pow e 2) (pow (cos v) 2)))))
(cos v)
(* (cos v) (sin v))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	v	@	inf	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (- 1 (/ 1 e)) (* (/ (sin v) (+ 1 (* e (cos v)))) e) (/ (sin v) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (neg e) (cos v) (* (cos v) (sin v)))
7.0ms	v	@	0	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (- 1 (/ 1 e)) (* (/ (sin v) (+ 1 (* e (cos v)))) e) (/ (sin v) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (neg e) (cos v) (* (cos v) (sin v)))
4.0ms	v	@	-inf	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (- 1 (/ 1 e)) (* (/ (sin v) (+ 1 (* e (cos v)))) e) (/ (sin v) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (neg e) (cos v) (* (cos v) (sin v)))
3.0ms	e	@	-inf	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (- 1 (/ 1 e)) (* (/ (sin v) (+ 1 (* e (cos v)))) e) (/ (sin v) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (neg e) (cos v) (* (cos v) (sin v)))
2.0ms	e	@	inf	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (- 1 (/ 1 e)) (* (/ (sin v) (+ 1 (* e (cos v)))) e) (/ (sin v) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (+ (* (neg e) (* (cos v) (sin v))) (sin v)) (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (neg e) (cos v) (* (cos v) (sin v)))

simplify217.0ms (2.8%)

Memory

6.9MiB live, 291.7MiB allocated; 101ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	490	2699
1	1685	2590
2	5951	2499
0	8118	2400

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 96

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))))))
1
(+ 1 (* e (cos v)))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(/ -1 e)
(/ (- e 1) e)
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))
(+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (pow (cos v) 2) (sin v)))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v)))))))))
(* -1 e)
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
v
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(/ (sin v) (* e (cos v)))
(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
(/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) e)
(* -1 (* e (* (cos v) (sin v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (/ (sin v) (* e (pow (cos v) 2)))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 3))) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (/ (+ (* -1 (/ (sin v) (cos v))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* e (pow (cos v) 4))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e))) e))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin 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))))
(* v (+ e (* -1/6 (* e (pow v 2)))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2)))))))
(* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e)))))))
(* v (+ 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))))
(+ 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)))))))
(/ v (+ 1 e))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (* 2/3 e) 1/6)))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 2/3 e) (* (pow v 2) (+ 1/120 (* -2/15 e)))) 1/6)))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (- (+ (* 2/3 e) (* (pow v 2) (+ 1/120 (+ (* -2/15 e) (* (pow v 2) (- (* 4/315 e) 1/5040)))))) 1/6)))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (/ e (- 1 (pow e 2)))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* (pow v 2) (- (+ (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (* -1/6 (/ e (- 1 (pow e 2))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* (pow v 2) (- (+ (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* -1 (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (* 1/120 (/ e (- 1 (pow e 2))))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* (pow v 2) (- (+ (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* -1 (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (+ (* 1/120 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* -1 (- (* -4/315 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))) (* -1/5040 (/ e (- 1 (pow e 2))))) (+ (* -1/3 (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))
(* e (* v (+ 1 (* -1 e))))
(* v (+ (* e (* (pow v 2) (- (* 2/3 e) 1/6))) (* e (+ 1 (* -1 e)))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ 1/120 (* -2/15 e)))) (* e (- (* 2/3 e) 1/6))))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (- (* 2/3 e) 1/6)) (* (pow v 2) (+ (* e (* (pow v 2) (- (* 4/315 e) 1/5040))) (* e (+ 1/120 (* -2/15 e)))))))))
(+ 1 (* -1/2 (pow v 2)))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(* v (+ 1 (* -2/3 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 2/15 (* -4/315 (pow v 2)))) 2/3))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (sin v) (+ 1 (* e (cos v))))
(+ (* -1 (/ (* (pow e 2) (* (cos v) (sin v))) (- 1 (* (pow e 2) (pow (cos v) 2))))) (/ (* e (sin v)) (- 1 (* (pow e 2) (pow (cos v) 2)))))
(cos v)
(* (cos v) (sin v))

Outputs
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (fma.f64 (neg.f64 e) (.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e)
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
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(.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (.f64 (*.f64 (neg.f64 (sin.f64 v)) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) e)) e (sin.f64 v)) e)
1
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(* e v)
(*.f64 e v)
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(/ -1 e)
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(sin v)
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(fma.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v))
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(fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (.f64 (.f64 (neg.f64 (sin.f64 v)) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) e)) e (sin.f64 v))
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(* -1 e)
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(/ (sin v) (cos v))
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(* e (cos v))
(*.f64 (cos.f64 v) e)
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v
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(/ (sin v) (* e (cos v)))
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(/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) e)
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(/ (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) e)
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(.f64 (neg.f64 e) (.f64 (cos.f64 v) (sin.f64 v)))
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(/ (* e v) (+ 1 e))
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(.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 (-.f64 (/.f64 (.f64 #s(literal -4/315 binary64) (.f64 e e)) (-.f64 #s(literal 1 binary64) (.f64 e e))) (fma.f64 #s(literal 2/45 binary64) (/.f64 (pow.f64 e #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 2/15 binary64) e) e) (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -2/3 binary64) (.f64 e e)) (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 (pow.f64 e #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 2 binary64)))) (.f64 e e) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 e #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 e e)))) (-.f64 #s(literal 1 binary64) (.f64 e e)))) (.f64 e e) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 e e)) (-.f64 (/.f64 (.f64 #s(literal -2/3 binary64) (.f64 e e)) (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 (pow.f64 e #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 e e)))))) (/.f64 (fma.f64 #s(literal 1/5040 binary64) e (.f64 (.f64 #s(literal -1/3 binary64) (.f64 e e)) (-.f64 (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (.f64 e e))) #s(literal -1/6 binary64)) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 e e)))) (/.f64 (fma.f64 (-.f64 (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (.f64 e e))) #s(literal 1/120 binary64)) (/.f64 (fma.f64 (-.f64 (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (.f64 e e))) #s(literal -1/6 binary64)) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 2 binary64)))) (.f64 e e) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 e #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 e e)))) (-.f64 #s(literal 1 binary64) (.f64 e e)))) (.f64 e e) (/.f64 (.f64 #s(literal 2/45 binary64) (pow.f64 e #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 e e)))) (-.f64 #s(literal 1 binary64) (.f64 e e)))) (.f64 v v) (fma.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (.f64 e e))) #s(literal 1/120 binary64) (neg.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal 2/15 binary64) e) e) (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -2/3 binary64) (.f64 e e)) (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 (pow.f64 e #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 2 binary64)))) (.f64 e e) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 e #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 e e)))) (-.f64 #s(literal 1 binary64) (.f64 e e))))))) (/.f64 (fma.f64 (-.f64 (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (.f64 e e))) #s(literal -1/6 binary64)) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 2 binary64)))) (.f64 e e) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 e #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 e e)))) (-.f64 #s(literal 1 binary64) (.f64 e e)))) (.f64 v v) (fma.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (.f64 e e))) #s(literal -1/6 binary64) (neg.f64 (-.f64 (/.f64 (.f64 #s(literal -2/3 binary64) (.f64 e e)) (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 (pow.f64 e #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 2 binary64))))))) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 2 binary64)))) (.f64 v v) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) (-.f64 #s(literal 1 binary64) (*.f64 e e)))) v)
(* e (* v (+ 1 (* -1 e))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)
(* v (+ (* e (* (pow v 2) (- (* 2/3 e) 1/6))) (* e (+ 1 (* -1 e)))))
(.f64 (.f64 e v) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ 1/120 (* -2/15 e)))) (* e (- (* 2/3 e) 1/6))))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) e) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (- (* 2/3 e) 1/6)) (* (pow v 2) (+ (* e (* (pow v 2) (- (* 4/315 e) 1/5040))) (* e (+ 1/120 (* -2/15 e)))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 (-.f64 (*.f64 #s(literal 4/315 binary64) e) #s(literal 1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) e))) v)
(+ 1 (* -1/2 (pow v 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 v v)) #s(literal 1/2 binary64)) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2)))
(fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 v v) #s(literal 1/24 binary64)) v) v) #s(literal 1/2 binary64)) (.f64 v v) #s(literal 1 binary64))
(* v (+ 1 (* -2/3 (pow v 2))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -2/3 binary64) v)
(* v (+ 1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 v v)) #s(literal 2/3 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 2/15 (* -4/315 (pow v 2)))) 2/3))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -4/315 binary64) (*.f64 v v) #s(literal 2/15 binary64)) v) v) #s(literal 2/3 binary64)) v)
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/ (sin v) (+ 1 (* e (cos v))))
(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(+ (* -1 (/ (* (pow e 2) (* (cos v) (sin v))) (- 1 (* (pow e 2) (pow (cos v) 2))))) (/ (* e (sin v)) (- 1 (* (pow e 2) (pow (cos v) 2)))))
(/.f64 (.f64 (fma.f64 (neg.f64 e) (.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e)))
(cos v)
(cos.f64 v)
(* (cos v) (sin v))
(*.f64 (cos.f64 v) (sin.f64 v))

rewrite177.0ms (2.3%)

Memory

7.9MiB live, 437.5MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	229
0	65	210
1	230	196
2	1434	196
0	8120	196

Stop Event

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

Counts

20 → 388

Calls

Call 1

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

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

eval109.0ms (1.4%)

Memory: 11.9MiB live, 396.6MiB allocated; 19ms collecting garbage
Compiler: Compiled 27 498 to 2 070 computations (92.5% saved)

prune32.0ms (0.4%)

Memory

20.3MiB live, 117.6MiB allocated; 4ms collecting garbage

Pruning

31 alts after pruning (24 fresh and 7 done)

	Pruned	Kept	Total
New	502	12	514
Fresh	4	12	16
Picked	1	4	5
Done	0	3	3
Total	507	31	538

Accuracy

100.0%

Counts

538 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
▶	98.5%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
✓	98.5%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	66.8%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))))
✓	99.7%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))))
	97.2%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))))
▶	47.0%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	47.2%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
✓	98.5%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
✓	99.8%	(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
	97.3%	(.f64 #s(approx (/ (sin v) (+ 1 ( e (cos v)))) (sin.f64 v)) e)
	98.4%	(.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e)) e)) (sin.f64 v))
	47.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
	98.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
▶	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v))
	46.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e)) v))
	46.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
	46.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
▶	46.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
✓	46.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
	86.5%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64)) (pow.f64 (sin.f64 v) #s(literal 2 binary64))) e) (-.f64 (.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (sin.f64 v))))
	65.5%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) #s(literal 3 binary64))) e) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (.f64 (.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v))) (pow.f64 (.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64)))))
✓	98.5%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 (fma.f64 (neg.f64 e) (.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e))
	46.3%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 4/315 binary64) e) #s(literal 1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (.f64 v v) (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
	46.1%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
	46.3%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
	98.3%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) e)) e))
▶	67.1%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
	46.3%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (.f64 e v) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))

Compiler

Compiled 2 041 to 1 167 computations (42.8% saved)

simplify151.0ms (1.9%)

Memory

-19.2MiB live, 362.0MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (/.f64 (sin.f64 v) e) (*.f64 (cos.f64 v) (sin.f64 v)))
cost-diff	0	(.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))
cost-diff	0	#s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e)))
cost-diff	0	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
cost-diff	0	(.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v)
cost-diff	0	#s(approx (* e (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
cost-diff	0	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
cost-diff	2	(fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (*.f64 #s(literal -1/6 binary64) e))
cost-diff	0	(/.f64 (-.f64 e #s(literal 1 binary64)) e)
cost-diff	0	#s(approx (/ e (+ 1 e)) (/.f64 (-.f64 e #s(literal 1 binary64)) e))
cost-diff	0	(*.f64 #s(approx (/ e (+ 1 e)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v)
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v))
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) e) v)
cost-diff	0	(.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)
cost-diff	0	#s(approx (* (/ e (+ 1 e)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
cost-diff	0	(*.f64 e (sin.f64 v))
cost-diff	0	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
cost-diff	1	(-.f64 (*.f64 e e) #s(literal 1 binary64))
cost-diff	5	(/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	446
0	95	444
1	187	439
2	539	414
3	1924	404
4	4753	404
0	8040	391

Stop Event

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

Calls

Call 1

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

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

localize142.0ms (1.8%)

Memory

10.3MiB live, 442.9MiB allocated; 15ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(/.f64 (sin.f64 v) e)
accuracy	0.2265625	(*.f64 (cos.f64 v) (sin.f64 v))
accuracy	0.8900147091355313	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
accuracy	20.18819967176556	(.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))
accuracy	0.375	(*.f64 #s(literal -1/6 binary64) e)
accuracy	0.8466532305282769	#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
accuracy	7.845499245332956	(.f64 (.f64 v v) e)
accuracy	33.9087408697716	#s(approx (* e (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (*.f64 v v) e) v))
accuracy	0.0078125	(/.f64 (-.f64 e #s(literal 1 binary64)) e)
accuracy	0.015625	(*.f64 #s(approx (/ e (+ 1 e)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v)
accuracy	33.545754999529784	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v))
accuracy	62.99849229380903	#s(approx (/ e (+ 1 e)) (/.f64 (-.f64 e #s(literal 1 binary64)) e))
accuracy	0.00390625	(.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)
accuracy	0.015625	(*.f64 (-.f64 #s(literal 1 binary64) e) v)
accuracy	0.930064171730866	#s(approx (* (/ e (+ 1 e)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e))
accuracy	33.545754999529784	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
accuracy	0.01953125	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
accuracy	0.0234375	(/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))
accuracy	0.1015625	(*.f64 e (sin.f64 v))
accuracy	0.8466532305282769	#s(approx (+ 1 (* e (cos v))) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64))))

Samples

112.0ms

256×

valid

Compiler

Compiled 295 to 49 computations (83.4% saved)

Precisions

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

ival-mult: 37.0ms (41.4% of total)

ival-div: 12.0ms (13.4% of total)

ival-sub: 9.0ms (10.1% of total)

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

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

const: 7.0ms (7.8% of total)

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

ival-pow2: 3.0ms (3.4% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory

-19.8MiB live, 123.3MiB allocated; 6ms collecting garbage

Counts

26 → 111

Calls

Call 1

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

Outputs
1
(+ 1 e)
-1
(- (pow e 2) 1)
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(* e 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 (* e v)))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(/ -1 e)
(/ (- e 1) e)
(* e (- (* 1/120 (pow v 2)) 1/6))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (pow (cos v) 2) (sin v)))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v)))))))))
(/ (sin v) e)
(/ (+ (sin v) (* -1 (* e (* (cos v) (sin v))))) e)
(+ 1 (* e (cos v)))
(* e (pow v 2))
(* -1/6 e)
(* e (+ 1 (/ 1 e)))
(pow e 2)
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* -1 (* e v))
(* e (+ (* -1 v) (/ v e)))
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* (cos v) (sin v)))
(- (/ (sin v) e) (* (cos v) (sin v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(* -1 (* e (+ v (* -1 (/ v e)))))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(* -1 (* e (+ 1/6 (* -1/120 (pow v 2)))))
(* -1 (* e (* v (- (* (pow v 2) (+ 1/6 (* -1/120 (pow v 2)))) 1))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* 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 (* v (- 1 e)))
(* v (- 1 e))
(+ (* -1/6 e) (* 1/120 (* e (pow v 2))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (/ e (- 1 (pow e 2)))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* (pow v 2) (- (+ (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (* -1/6 (/ e (- 1 (pow e 2))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* (pow v 2) (- (+ (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* -1 (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (* 1/120 (/ e (- 1 (pow e 2))))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* (pow v 2) (- (+ (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* -1 (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (+ (* 1/120 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* -1 (- (* -4/315 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))) (* -1/5040 (/ e (- 1 (pow e 2))))) (+ (* -1/3 (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))
(* e (* v (+ 1 (* -1 e))))
(* v (+ (* e (* (pow v 2) (- (* 2/3 e) 1/6))) (* e (+ 1 (* -1 e)))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ 1/120 (* -2/15 e)))) (* e (- (* 2/3 e) 1/6))))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (- (* 2/3 e) 1/6)) (* (pow v 2) (+ (* e (* (pow v 2) (- (* 4/315 e) 1/5040))) (* e (+ 1/120 (* -2/15 e)))))))))
(* (pow e 2) (* v (- (/ 1 e) 1)))
(* v (+ (* (pow e 2) (* (pow v 2) (- 2/3 (* 1/6 (/ 1 e))))) (* (pow e 2) (- (/ 1 e) 1))))
(* v (+ (* (pow e 2) (- (/ 1 e) 1)) (* (pow v 2) (+ (* (pow e 2) (* (pow v 2) (- (* 1/120 (/ 1 e)) 2/15))) (* (pow e 2) (- 2/3 (* 1/6 (/ 1 e))))))))
(* v (+ (* (pow e 2) (- (/ 1 e) 1)) (* (pow v 2) (+ (* (pow e 2) (- 2/3 (* 1/6 (/ 1 e)))) (* (pow v 2) (+ (* (pow e 2) (* (pow v 2) (- 4/315 (* 1/5040 (/ 1 e))))) (* (pow e 2) (- (* 1/120 (/ 1 e)) 2/15))))))))
(* v (- (/ 1 e) 1))
(* v (- (+ (* (pow v 2) (- 2/3 (* 1/6 (/ 1 e)))) (/ 1 e)) 1))
(* v (- (+ (* (pow v 2) (- (+ 2/3 (* (pow v 2) (- (* 1/120 (/ 1 e)) 2/15))) (* 1/6 (/ 1 e)))) (/ 1 e)) 1))
(* v (- (+ (* (pow v 2) (- (+ 2/3 (* (pow v 2) (- (+ (* 1/120 (/ 1 e)) (* (pow v 2) (- 4/315 (* 1/5040 (/ 1 e))))) 2/15))) (* 1/6 (/ 1 e)))) (/ 1 e)) 1))
(+ 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)))))))
(* v (+ 1 (* -2/3 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 2/15 (* -4/315 (pow v 2)))) 2/3))))
(/ v e)
(* v (+ (* -1/6 (/ (pow v 2) e)) (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/120 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)))
(* v (+ (* (pow v 2) (- (* (pow v 2) (+ (* -1/5040 (/ (pow v 2) e)) (* 1/120 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* 1/120 (* e (pow v 2)))
(* (pow v 2) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(* 1/120 (* e (pow v 5)))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(+ (* -1 (/ (* (pow e 2) (* (cos v) (sin v))) (- 1 (* (pow e 2) (pow (cos v) 2))))) (/ (* e (sin v)) (- 1 (* (pow e 2) (pow (cos v) 2)))))
(* (pow e 2) (- (/ (sin v) e) (* (cos v) (sin v))))
(* (cos v) (sin v))
(* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))
(* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))

Calls

6 calls:

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

simplify174.0ms (2.2%)

Memory

39.0MiB live, 319.0MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	496	2534
1	1674	2441
2	6049	2374
0	8345	2270

Stop Event

1×	iter limit
1×	node limit

Counts

111 → 109

Calls

Call 1

Inputs
1
(+ 1 e)
-1
(- (pow e 2) 1)
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(* e 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 (* e v)))
e
(* e (+ 1 (* -1 e)))
(* e (+ 1 (* e (- e 1))))
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(/ -1 e)
(/ (- e 1) e)
(* e (- (* 1/120 (pow v 2)) 1/6))
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (pow (cos v) 2) (sin v)))))))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v)))))))))
(/ (sin v) e)
(/ (+ (sin v) (* -1 (* e (* (cos v) (sin v))))) e)
(+ 1 (* e (cos v)))
(* e (pow v 2))
(* -1/6 e)
(* e (+ 1 (/ 1 e)))
(pow e 2)
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(* -1 (* (pow e 2) v))
(* (pow e 2) (+ (* -1 v) (/ v e)))
(* -1 (* e v))
(* e (+ (* -1 v) (/ v e)))
(- 1 (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (/ 1 e))
(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3))))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* (cos v) (sin v)))
(- (/ (sin v) e) (* (cos v) (sin v)))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(* -1 (* e (+ v (* -1 (/ v e)))))
(+ 1 (* -1 (/ (- 1 (/ 1 e)) e)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e)))
(* -1 (* e (+ 1/6 (* -1/120 (pow v 2)))))
(* -1 (* e (* v (- (* (pow v 2) (+ 1/6 (* -1/120 (pow v 2)))) 1))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* 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 (* v (- 1 e)))
(* v (- 1 e))
(+ (* -1/6 e) (* 1/120 (* e (pow v 2))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (/ e (- 1 (pow e 2)))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* (pow v 2) (- (+ (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (* -1/6 (/ e (- 1 (pow e 2))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* (pow v 2) (- (+ (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* -1 (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (* 1/120 (/ e (- 1 (pow e 2))))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))
(* v (+ (* -1 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* (pow v 2) (- (+ (* -1 (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (+ (* -1/6 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* -1 (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (+ (* 1/120 (/ e (- 1 (pow e 2)))) (* (pow v 2) (- (+ (* -1 (- (* -4/315 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 2/15 (/ (pow e 2) (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 4) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -2/3 (/ (pow e 2) (- 1 (pow e 2)))) (/ (pow e 4) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))) (* -1/5040 (/ e (- 1 (pow e 2))))) (+ (* -1/3 (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))) (+ (* 2/45 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* 1/120 (/ e (- 1 (pow e 2)))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))) (- 1 (pow e 2))))))))) (+ (* -1/3 (/ (pow e 3) (pow (- 1 (pow e 2)) 2))) (/ (* (pow e 2) (- (* -1/6 (/ e (- 1 (pow e 2)))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (- 1 (pow e 2)))))))) (/ (pow e 3) (pow (- 1 (pow e 2)) 2)))) (/ e (- 1 (pow e 2))))))
(* e (* v (+ 1 (* -1 e))))
(* v (+ (* e (* (pow v 2) (- (* 2/3 e) 1/6))) (* e (+ 1 (* -1 e)))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ 1/120 (* -2/15 e)))) (* e (- (* 2/3 e) 1/6))))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (- (* 2/3 e) 1/6)) (* (pow v 2) (+ (* e (* (pow v 2) (- (* 4/315 e) 1/5040))) (* e (+ 1/120 (* -2/15 e)))))))))
(* (pow e 2) (* v (- (/ 1 e) 1)))
(* v (+ (* (pow e 2) (* (pow v 2) (- 2/3 (* 1/6 (/ 1 e))))) (* (pow e 2) (- (/ 1 e) 1))))
(* v (+ (* (pow e 2) (- (/ 1 e) 1)) (* (pow v 2) (+ (* (pow e 2) (* (pow v 2) (- (* 1/120 (/ 1 e)) 2/15))) (* (pow e 2) (- 2/3 (* 1/6 (/ 1 e))))))))
(* v (+ (* (pow e 2) (- (/ 1 e) 1)) (* (pow v 2) (+ (* (pow e 2) (- 2/3 (* 1/6 (/ 1 e)))) (* (pow v 2) (+ (* (pow e 2) (* (pow v 2) (- 4/315 (* 1/5040 (/ 1 e))))) (* (pow e 2) (- (* 1/120 (/ 1 e)) 2/15))))))))
(* v (- (/ 1 e) 1))
(* v (- (+ (* (pow v 2) (- 2/3 (* 1/6 (/ 1 e)))) (/ 1 e)) 1))
(* v (- (+ (* (pow v 2) (- (+ 2/3 (* (pow v 2) (- (* 1/120 (/ 1 e)) 2/15))) (* 1/6 (/ 1 e)))) (/ 1 e)) 1))
(* v (- (+ (* (pow v 2) (- (+ 2/3 (* (pow v 2) (- (+ (* 1/120 (/ 1 e)) (* (pow v 2) (- 4/315 (* 1/5040 (/ 1 e))))) 2/15))) (* 1/6 (/ 1 e)))) (/ 1 e)) 1))
(+ 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)))))))
(* v (+ 1 (* -2/3 (pow v 2))))
(* v (+ 1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))))
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 2/15 (* -4/315 (pow v 2)))) 2/3))))
(/ v e)
(* v (+ (* -1/6 (/ (pow v 2) e)) (/ 1 e)))
(* v (+ (* (pow v 2) (- (* 1/120 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)))
(* v (+ (* (pow v 2) (- (* (pow v 2) (+ (* -1/5040 (/ (pow v 2) e)) (* 1/120 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* 1/120 (* e (pow v 2)))
(* (pow v 2) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(* 1/120 (* e (pow v 5)))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(+ (* -1 (/ (* (pow e 2) (* (cos v) (sin v))) (- 1 (* (pow e 2) (pow (cos v) 2))))) (/ (* e (sin v)) (- 1 (* (pow e 2) (pow (cos v) 2)))))
(* (pow e 2) (- (/ (sin v) e) (* (cos v) (sin v))))
(* (cos v) (sin v))
(* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))
(* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))

Outputs
1
#s(literal 1 binary64)
(+ 1 e)
(+.f64 #s(literal 1 binary64) e)
-1
#s(literal -1 binary64)
(- (pow e 2) 1)
(fma.f64 e e #s(literal -1 binary64))
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (fma.f64 (neg.f64 e) (.f64 (sin.f64 v) (cos.f64 v)) (sin.f64 v)) e)
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(.f64 (fma.f64 (.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v)) e)
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (.f64 (*.f64 (neg.f64 (sin.f64 v)) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) e)) e (sin.f64 v)) e)
(* e v)
(*.f64 v e)
(* e (+ v (* -1 (* e v))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)
(* e (+ v (* e (- (* e v) v))))
(.f64 (fma.f64 (-.f64 (.f64 v e) v) e v) e)
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
(.f64 (fma.f64 (-.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) e) v) e) v) e v) e)
v
(+ v (* -1 (* e v)))
(*.f64 (-.f64 #s(literal 1 binary64) e) v)
e
(* e (+ 1 (* -1 e)))
(*.f64 (-.f64 #s(literal 1 binary64) e) e)
(* e (+ 1 (* e (- e 1))))
(*.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e)
(* e (+ 1 (* e (- (* e (+ 1 (* -1 e))) 1))))
(.f64 (fma.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) #s(literal 1 binary64)) e #s(literal 1 binary64)) e)
(/ -1 e)
(/.f64 #s(literal -1 binary64) e)
(/ (- e 1) e)
(/.f64 (-.f64 e #s(literal 1 binary64)) e)
(* e (- (* 1/120 (pow v 2)) 1/6))
(.f64 (-.f64 (.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) e)
(* e (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))))
(.f64 (fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (.f64 (*.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) v) e)
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (pow (cos v) 2) (sin v)))))))
(.f64 (fma.f64 (.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) (cos.f64 v))) e (sin.f64 v)) e)
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v)))))))))
(.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (.f64 (*.f64 (neg.f64 (sin.f64 v)) (fma.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e (neg.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64))))) e)) e (sin.f64 v)) e)
(/ (sin v) e)
(/.f64 (sin.f64 v) e)
(/ (+ (sin v) (* -1 (* e (* (cos v) (sin v))))) e)
(/.f64 (fma.f64 (neg.f64 e) (*.f64 (sin.f64 v) (cos.f64 v)) (sin.f64 v)) e)
(+ 1 (* e (cos v)))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(* e (pow v 2))
(.f64 (.f64 v v) e)
(* -1/6 e)
(*.f64 #s(literal -1/6 binary64) e)
(* e (+ 1 (/ 1 e)))
(+.f64 #s(literal 1 binary64) e)
(pow e 2)
(*.f64 e e)
(* (pow e 2) (- 1 (/ 1 (pow e 2))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) e)) e) e)
(/ (sin v) (cos v))
(/.f64 (sin.f64 v) (cos.f64 v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (/.f64 (sin.f64 v) e) (/.f64 (sin.f64 v) (cos.f64 v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(-.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 v) e) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))) (sin.f64 v)) (cos.f64 v)) (/.f64 (/.f64 (sin.f64 v) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64))))
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(.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (neg.f64 (-.f64 (/.f64 (.f64 #s(literal -4/315 binary64) (.f64 e e)) (-.f64 #s(literal 1 binary64) (.f64 e e))) (fma.f64 #s(literal 2/45 binary64) (/.f64 (pow.f64 e #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 2/15 binary64) (.f64 e e)) (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -2/3 binary64) (.f64 e e)) (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 (pow.f64 e #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 2 binary64)))) (.f64 e e) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 e #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 e e)))) (-.f64 #s(literal 1 binary64) (.f64 e e)))) (.f64 e e) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 e e)) (-.f64 (/.f64 (.f64 #s(literal -2/3 binary64) (.f64 e e)) (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 (pow.f64 e #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 e e)))))) (/.f64 (fma.f64 #s(literal 1/5040 binary64) e (.f64 (.f64 #s(literal -1/3 binary64) (.f64 e e)) (-.f64 (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (.f64 e e))) #s(literal -1/6 binary64)) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 e e)))) (/.f64 (fma.f64 (-.f64 (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (.f64 e e))) #s(literal 1/120 binary64)) (/.f64 (fma.f64 (-.f64 (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (.f64 e e))) #s(literal -1/6 binary64)) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 2 binary64)))) (.f64 e e) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 e #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 e e)))) (-.f64 #s(literal 1 binary64) (.f64 e e)))) (.f64 e e) (/.f64 (.f64 #s(literal 2/45 binary64) (pow.f64 e #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 e e)))) (-.f64 #s(literal 1 binary64) (.f64 e e)))) (.f64 v v) (fma.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (.f64 e e))) #s(literal 1/120 binary64) (neg.f64 (-.f64 (/.f64 (.f64 #s(literal 2/15 binary64) (.f64 e e)) (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -2/3 binary64) (.f64 e e)) (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 (pow.f64 e #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 2 binary64)))) (.f64 e e) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 e #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 e e)))) (-.f64 #s(literal 1 binary64) (.f64 e e))))))) (/.f64 (fma.f64 (-.f64 (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (.f64 e e))) #s(literal -1/6 binary64)) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 2 binary64)))) (.f64 e e) (/.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 e #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 e e)))) (-.f64 #s(literal 1 binary64) (.f64 e e)))) (.f64 v v) (fma.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (.f64 e e))) #s(literal -1/6 binary64) (neg.f64 (-.f64 (/.f64 (.f64 #s(literal -2/3 binary64) (.f64 e e)) (-.f64 #s(literal 1 binary64) (.f64 e e))) (/.f64 (pow.f64 e #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 2 binary64))))))) (/.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(literal 2 binary64)))) (.f64 v v) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) (-.f64 #s(literal 1 binary64) (*.f64 e e)))) v)
(* e (* v (+ 1 (* -1 e))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)
(* v (+ (* e (* (pow v 2) (- (* 2/3 e) 1/6))) (* e (+ 1 (* -1 e)))))
(.f64 (.f64 v e) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ 1/120 (* -2/15 e)))) (* e (- (* 2/3 e) 1/6))))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) e) (.f64 v v) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (- (* 2/3 e) 1/6)) (* (pow v 2) (+ (* e (* (pow v 2) (- (* 4/315 e) 1/5040))) (* e (+ 1/120 (* -2/15 e)))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) e (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 (-.f64 (*.f64 #s(literal 4/315 binary64) e) #s(literal 1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) e))) v)
(* (pow e 2) (* v (- (/ 1 e) 1)))
(.f64 (.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v) e) e)
(* v (+ (* (pow e 2) (* (pow v 2) (- 2/3 (* 1/6 (/ 1 e))))) (* (pow e 2) (- (/ 1 e) 1))))
(.f64 (.f64 (.f64 v e) e) (fma.f64 (.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))))
(* v (+ (* (pow e 2) (- (/ 1 e) 1)) (* (pow v 2) (+ (* (pow e 2) (* (pow v 2) (- (* 1/120 (/ 1 e)) 2/15))) (* (pow e 2) (- 2/3 (* 1/6 (/ 1 e))))))))
(.f64 (fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e (.f64 (.f64 (.f64 (.f64 v e) e) v) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) e) #s(literal 2/15 binary64)) v) v (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))))) v)
(* v (+ (* (pow e 2) (- (/ 1 e) 1)) (* (pow v 2) (+ (* (pow e 2) (- 2/3 (* 1/6 (/ 1 e)))) (* (pow v 2) (+ (* (pow e 2) (* (pow v 2) (- 4/315 (* 1/5040 (/ 1 e))))) (* (pow e 2) (- (* 1/120 (/ 1 e)) 2/15))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) (.f64 e e) (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 4/315 binary64) (/.f64 #s(literal 1/5040 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1/120 binary64) e) #s(literal 2/15 binary64))) (*.f64 e e)))) v)
(* v (- (/ 1 e) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)
(* v (- (+ (* (pow v 2) (- 2/3 (* 1/6 (/ 1 e)))) (/ 1 e)) 1))
(.f64 (fma.f64 (.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)
(* v (- (+ (* (pow v 2) (- (+ 2/3 (* (pow v 2) (- (* 1/120 (/ 1 e)) 2/15))) (* 1/6 (/ 1 e)))) (/ 1 e)) 1))
(.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) e) #s(literal 2/15 binary64)) v) v (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) (*.f64 v v) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)
(* v (- (+ (* (pow v 2) (- (+ 2/3 (* (pow v 2) (- (+ (* 1/120 (/ 1 e)) (* (pow v 2) (- 4/315 (* 1/5040 (/ 1 e))))) 2/15))) (* 1/6 (/ 1 e)))) (/ 1 e)) 1))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 4/315 binary64) (/.f64 #s(literal 1/5040 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1/120 binary64) e) #s(literal 2/15 binary64))) (.f64 v v) (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) (.f64 v v) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 v v) e) (+.f64 #s(literal 1 binary64) e))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) e) #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal 1/24 binary64) e)) v) v (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) (+.f64 #s(literal 1 binary64) e))
(* v (+ 1 (* -2/3 (pow v 2))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -2/3 binary64) v)
(* v (+ 1 (* (pow v 2) (- (* 2/15 (pow v 2)) 2/3))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 2/15 binary64) (.f64 v v)) #s(literal 2/3 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 2/15 (* -4/315 (pow v 2)))) 2/3))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -4/315 binary64) (*.f64 v v) #s(literal 2/15 binary64)) v) v) #s(literal 2/3 binary64)) v)
(/ v e)
(/.f64 v e)
(* v (+ (* -1/6 (/ (pow v 2) e)) (/ 1 e)))
(.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v v) #s(literal 1 binary64)) e) v)
(* v (+ (* (pow v 2) (- (* 1/120 (/ (pow v 2) e)) (* 1/6 (/ 1 e)))) (/ 1 e)))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)) e) (/.f64 v e))
(* v (+ (* (pow v 2) (- (* (pow v 2) (+ (* -1/5040 (/ (pow v 2) e)) (* 1/120 (/ 1 e)))) (* 1/6 (/ 1 e)))) (/ 1 e)))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) e) (.f64 v v) (/.f64 #s(literal -1/6 binary64) e)) (/.f64 v e))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(* 1/120 (* e (pow v 2)))
(.f64 (.f64 (*.f64 v v) e) #s(literal 1/120 binary64))
(* (pow v 2) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(.f64 (.f64 (fma.f64 (/.f64 e (.f64 v v)) #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) e)) v) v)
(* 1/120 (* e (pow v 5)))
(.f64 (.f64 (pow.f64 v #s(literal 5 binary64)) e) #s(literal 1/120 binary64))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (* 1/120 e)))
(.f64 (pow.f64 v #s(literal 5 binary64)) (fma.f64 (/.f64 e (.f64 v v)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) e)))
(* (pow v 5) (+ (* -1/6 (/ e (pow v 2))) (+ (* 1/120 e) (/ e (pow v 4)))))
(*.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) v) (/.f64 e v) (fma.f64 #s(literal 1/120 binary64) e (/.f64 e (pow.f64 v #s(literal 4 binary64))))) (pow.f64 v #s(literal 5 binary64)))
(+ (* -1 (/ (* (pow e 2) (* (cos v) (sin v))) (- 1 (* (pow e 2) (pow (cos v) 2))))) (/ (* e (sin v)) (- 1 (* (pow e 2) (pow (cos v) 2)))))
(/.f64 (.f64 (fma.f64 (neg.f64 e) (.f64 (sin.f64 v) (cos.f64 v)) (sin.f64 v)) e) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) e) e)))
(* (pow e 2) (- (/ (sin v) e) (* (cos v) (sin v))))
(.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (cos.f64 v))) (*.f64 e e))
(* (cos v) (sin v))
(*.f64 (sin.f64 v) (cos.f64 v))
(* -1 (* (pow v 5) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2))))))
(.f64 (pow.f64 v #s(literal 5 binary64)) (fma.f64 (/.f64 e (.f64 v v)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) e)))
(* -1 (* (pow v 5) (+ (* -1 (/ e (pow v 4))) (+ (* -1/120 e) (* 1/6 (/ e (pow v 2)))))))
(*.f64 (neg.f64 (pow.f64 v #s(literal 5 binary64))) (fma.f64 #s(literal -1/120 binary64) e (fma.f64 (/.f64 e v) (/.f64 #s(literal 1/6 binary64) v) (/.f64 (neg.f64 e) (pow.f64 v #s(literal 4 binary64))))))

rewrite178.0ms (2.3%)

Memory

-27.7MiB live, 355.1MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	388
0	95	380
1	333	342
2	2318	342
0	8511	334

Stop Event

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

Counts

26 → 358

Calls

Call 1

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

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

eval64.0ms (0.8%)

Memory: 35.3MiB live, 130.6MiB allocated; 10ms collecting garbage
Compiler: Compiled 21 278 to 2 475 computations (88.4% saved)

prune76.0ms (1%)

Memory

-22.3MiB live, 67.5MiB allocated; 10ms collecting garbage

Pruning

34 alts after pruning (27 fresh and 7 done)

	Pruned	Kept	Total
New	444	14	458
Fresh	6	13	19
Picked	5	0	5
Done	0	7	7
Total	455	34	489

Accuracy

100.0%

Counts

489 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
	98.5%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))))
	98.5%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) (fma.f64 e e #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (-.f64 e #s(literal 1 binary64)))))
	98.5%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) e)) (-.f64 e #s(literal 1 binary64)))))
✓	98.5%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	66.8%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))))
✓	99.7%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))))
	97.2%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))))
	47.0%	(/.f64 #s(approx (* e (sin v)) (fma.f64 v e (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal -1/6 binary64) e)) v) v) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	47.0%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 #s(approx (+ ( (* (* v v) e) 1/120) (* -1/6 e)) (.f64 (-.f64 (.f64 (.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) e)) (.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
✓	98.5%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
✓	99.8%	(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
	97.3%	(.f64 #s(approx (/ (sin v) (+ 1 ( e (cos v)))) (sin.f64 v)) e)
	98.4%	(.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e)) e)) (sin.f64 v))
	47.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
	98.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
	46.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e)) v))
	46.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
	46.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 (-.f64 #s(literal 1 binary64) e) (.f64 v e))))
	46.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 #s(approx ( (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
	25.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 #s(approx ( (- 1 e) v) (*.f64 (neg.f64 e) v)) e)))
✓	46.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
	36.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (.f64 (-.f64 (/.f64 v e) v) (.f64 e e)))))
	86.5%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64)) (pow.f64 (sin.f64 v) #s(literal 2 binary64))) e) (-.f64 (.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (sin.f64 v))))
	65.5%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) #s(literal 3 binary64))) e) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (.f64 (.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v))) (pow.f64 (.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64)))))
✓	98.5%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 (fma.f64 (neg.f64 e) (.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e))
	46.3%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 4/315 binary64) e) #s(literal 1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (.f64 v v) (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
	46.3%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
	98.3%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) e)) e))
	46.3%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
	65.9%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e))))
	36.6%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 4/315 binary64) (/.f64 #s(literal 1/5040 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1/120 binary64) e) #s(literal 2/15 binary64))) (.f64 v v) (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) (.f64 v v) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)) (*.f64 e e))))
	36.8%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)) (*.f64 e e))))
	36.9%	#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) (.f64 e e))))

Compiler

Compiled 3 574 to 1 108 computations (69% saved)

regimes48.0ms (0.6%)

Memory

23.3MiB live, 72.4MiB allocated; 12ms collecting garbage

Counts

54 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 #s(approx ( (- 1 e) v) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 (-.f64 #s(literal 1 binary64) e) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (.f64 (-.f64 (/.f64 v e) v) (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 #s(approx ( (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) (.f64 e e))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (.f64 e v) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 #s(approx (+ ( (* (* v v) e) 1/120) (* -1/6 e)) (.f64 (-.f64 (.f64 (.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) e)) (.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)) (*.f64 e e))))
(/.f64 #s(approx (* e (sin v)) (fma.f64 v e (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal -1/6 binary64) e)) v) v) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 4/315 binary64) e) #s(literal 1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (.f64 v v) (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 4/315 binary64) (/.f64 #s(literal 1/5040 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1/120 binary64) e) #s(literal 2/15 binary64))) (.f64 v v) (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) (.f64 v v) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)) (*.f64 e e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(.f64 #s(approx (/ (sin v) (+ 1 ( e (cos v)))) (sin.f64 v)) e)
(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) e)) (-.f64 e #s(literal 1 binary64)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) (fma.f64 e e #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (-.f64 e #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e)) e)) (sin.f64 v))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(/.f64 (*.f64 (sin.f64 v) e) (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 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 (fma.f64 (neg.f64 e) (.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (.f64 (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (sin.f64 v)) e (sin.f64 v)) e))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))))
(fma.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) #s(literal 1 binary64) (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (.f64 (neg.f64 e) (cos.f64 v))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64)) (pow.f64 (sin.f64 v) #s(literal 2 binary64))) e) (-.f64 (.f64 (*.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (sin.f64 v))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (/.f64 (.f64 (+.f64 (pow.f64 (sin.f64 v) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) #s(literal 3 binary64))) e) (fma.f64 (sin.f64 v) (-.f64 (sin.f64 v) (.f64 (.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v))) (pow.f64 (.f64 (*.f64 (cos.f64 v) e) (sin.f64 v)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v))) (/.f64 (pow.f64 (sin.f64 v) #s(literal 2 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (neg.f64 e)) (cos.f64 v)) (.f64 (.f64 (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) (cos.f64 v)) (neg.f64 e))) (.f64 (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(fma.f64 (/.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v))) (/.f64 (.f64 (sin.f64 v) (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (neg.f64 e)) (cos.f64 v)) (.f64 (.f64 (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) (cos.f64 v)) (neg.f64 e))) (.f64 (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))
(fma.f64 (/.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) (/.f64 (.f64 (sin.f64 v) (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v))) (/.f64 (-.f64 e (.f64 e (.f64 (neg.f64 e) (cos.f64 v)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (/.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 (neg.f64 e) (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (neg.f64 e)) (cos.f64 v)) (.f64 (.f64 (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) (cos.f64 v)) (neg.f64 e))) (.f64 (.f64 (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))))

Outputs

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

Calls

3 calls:

19.0ms	e
13.0ms	v
13.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes46.0ms (0.6%)

Memory

-17.3MiB live, 69.5MiB allocated; 13ms collecting garbage

Counts

48 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 #s(approx ( (- 1 e) v) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 (-.f64 #s(literal 1 binary64) e) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (.f64 (-.f64 (/.f64 v e) v) (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 #s(approx ( (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) (.f64 e e))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (.f64 e v) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 #s(approx (+ ( (* (* v v) e) 1/120) (* -1/6 e)) (.f64 (-.f64 (.f64 (.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) e)) (.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)) (*.f64 e e))))
(/.f64 #s(approx (* e (sin v)) (fma.f64 v e (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal -1/6 binary64) e)) v) v) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 4/315 binary64) e) #s(literal 1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (.f64 v v) (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 4/315 binary64) (/.f64 #s(literal 1/5040 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1/120 binary64) e) #s(literal 2/15 binary64))) (.f64 v v) (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) (.f64 v v) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)) (*.f64 e e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(.f64 #s(approx (/ (sin v) (+ 1 ( e (cos v)))) (sin.f64 v)) e)
(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) e)) (-.f64 e #s(literal 1 binary64)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) (fma.f64 e e #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (-.f64 e #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e)) e)) (sin.f64 v))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(/.f64 (*.f64 (sin.f64 v) e) (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 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 (fma.f64 (neg.f64 e) (.f64 (cos.f64 v) (sin.f64 v)) (sin.f64 v)) e))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) e)) e))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (.f64 (*.f64 (cos.f64 v) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (sin.f64 v)) e (sin.f64 v)) e))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) (/.f64 (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64))) (+.f64 (pow.f64 e #s(literal -1 binary64)) (neg.f64 (cos.f64 v)))))))

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

Calls

3 calls:

17.0ms	v
15.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
11.0ms	e

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes36.0ms (0.5%)

Memory

5.1MiB live, 49.7MiB allocated; 5ms collecting garbage

Counts

40 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 #s(approx ( (- 1 e) v) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 (-.f64 #s(literal 1 binary64) e) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (.f64 (-.f64 (/.f64 v e) v) (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 #s(approx ( (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) (.f64 e e))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (.f64 e v) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 #s(approx (+ ( (* (* v v) e) 1/120) (* -1/6 e)) (.f64 (-.f64 (.f64 (.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) e)) (.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)) (*.f64 e e))))
(/.f64 #s(approx (* e (sin v)) (fma.f64 v e (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal -1/6 binary64) e)) v) v) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 4/315 binary64) e) #s(literal 1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (.f64 v v) (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 4/315 binary64) (/.f64 #s(literal 1/5040 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1/120 binary64) e) #s(literal 2/15 binary64))) (.f64 v v) (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) (.f64 v v) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)) (*.f64 e e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(.f64 #s(approx (/ (sin v) (+ 1 ( e (cos v)))) (sin.f64 v)) e)
(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) e)) (-.f64 e #s(literal 1 binary64)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) (fma.f64 e e #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (-.f64 e #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e)) e)) (sin.f64 v))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))

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

Calls

3 calls:

13.0ms	(/.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
99.8%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
99.8%	1	`e`
99.8%	1	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes78.0ms (1%)

Memory

-7.7MiB live, 55.6MiB allocated; 55ms collecting garbage

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 #s(approx ( (- 1 e) v) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 (-.f64 #s(literal 1 binary64) e) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (.f64 (-.f64 (/.f64 v e) v) (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 #s(approx ( (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) (.f64 e e))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (.f64 e v) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 #s(approx (+ ( (* (* v v) e) 1/120) (* -1/6 e)) (.f64 (-.f64 (.f64 (.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) e)) (.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)) (*.f64 e e))))
(/.f64 #s(approx (* e (sin v)) (fma.f64 v e (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal -1/6 binary64) e)) v) v) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 4/315 binary64) e) #s(literal 1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (.f64 v v) (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 4/315 binary64) (/.f64 #s(literal 1/5040 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1/120 binary64) e) #s(literal 2/15 binary64))) (.f64 v v) (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) (.f64 v v) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)) (*.f64 e e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(.f64 #s(approx (/ (sin v) (+ 1 ( e (cos v)))) (sin.f64 v)) e)
(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (/.f64 (sin.f64 v) e)) (*.f64 e e))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) #s(approx (- (neg (cos v)) (/ 1 e)) (/.f64 #s(literal -1 binary64) e)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (fma.f64 e e #s(literal -1 binary64)) (-.f64 e #s(literal 1 binary64)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (-.f64 (*.f64 e e) #s(literal 1 binary64)) (-.f64 e #s(literal 1 binary64)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) e) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) e)) (-.f64 e #s(literal 1 binary64)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) (fma.f64 e e #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) e) (+.f64 #s(literal 1 binary64) e))) (-.f64 e #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(.f64 #s(approx (/ e (+ ( (cos v) e) 1)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e)) e)) (sin.f64 v))

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

Calls

3 calls:

43.0ms	e
23.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
10.0ms	v

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes30.0ms (0.4%)

Memory

-7.7MiB live, 38.6MiB allocated; 8ms collecting garbage

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 #s(approx ( (- 1 e) v) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 (-.f64 #s(literal 1 binary64) e) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (.f64 (-.f64 (/.f64 v e) v) (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 #s(approx ( (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) (.f64 e e))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (.f64 e v) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 #s(approx (+ ( (* (* v v) e) 1/120) (* -1/6 e)) (.f64 (-.f64 (.f64 (.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) e)) (.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)) (*.f64 e e))))
(/.f64 #s(approx (* e (sin v)) (fma.f64 v e (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal -1/6 binary64) e)) v) v) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 4/315 binary64) e) #s(literal 1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (.f64 v v) (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 4/315 binary64) (/.f64 #s(literal 1/5040 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1/120 binary64) e) #s(literal 2/15 binary64))) (.f64 v v) (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) (.f64 v v) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)) (*.f64 e e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(.f64 #s(approx (/ (sin v) (+ 1 ( e (cos v)))) (sin.f64 v)) e)
(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)

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

Calls

3 calls:

13.0ms	e
8.0ms	v
7.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes27.0ms (0.3%)

Memory

-7.7MiB live, 37.7MiB allocated; 4ms collecting garbage

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 #s(approx ( (- 1 e) v) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 (-.f64 #s(literal 1 binary64) e) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (.f64 (-.f64 (/.f64 v e) v) (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 #s(approx ( (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) (.f64 e e))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (.f64 e v) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 #s(approx (+ ( (* (* v v) e) 1/120) (* -1/6 e)) (.f64 (-.f64 (.f64 (.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) e)) (.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)) (*.f64 e e))))
(/.f64 #s(approx (* e (sin v)) (fma.f64 v e (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal -1/6 binary64) e)) v) v) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 4/315 binary64) e) #s(literal 1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (.f64 v v) (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 4/315 binary64) (/.f64 #s(literal 1/5040 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1/120 binary64) e) #s(literal 2/15 binary64))) (.f64 v v) (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) (.f64 v v) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)) (*.f64 e e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(.f64 #s(approx (/ (sin v) (+ 1 ( e (cos v)))) (sin.f64 v)) e)

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

Calls

3 calls:

10.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
8.0ms	v
7.0ms	e

Results

Accuracy	Segments	Branch
97.3%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
97.3%	1	`e`
97.3%	1	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes23.0ms (0.3%)

Memory

35.6MiB live, 35.6MiB allocated; 0ms collecting garbage

Counts

27 → 2

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 #s(approx ( (- 1 e) v) (*.f64 (neg.f64 e) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 (-.f64 #s(literal 1 binary64) e) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 (fma.f64 (neg.f64 v) e v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) #s(approx (- 1 (/ 1 e)) (/.f64 #s(literal -1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (/.f64 (-.f64 e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) #s(approx (* (* (- 1 e) v) e) (.f64 (-.f64 (/.f64 v e) v) (.f64 e e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 #s(approx ( (- 1 e) v) (*.f64 (-.f64 (/.f64 v e) v) e)) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) v)) (.f64 e e))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (.f64 e v) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 #s(approx (+ ( (* (* v v) e) 1/120) (* -1/6 e)) (.f64 (-.f64 (.f64 (.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) e)) (.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64)) v) v (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (fma.f64 (.f64 (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)) (*.f64 e e))))
(/.f64 #s(approx (* e (sin v)) (fma.f64 v e (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal -1/6 binary64) e)) v) v) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) (.f64 #s(approx (+ ( (neg e) (* (cos v) (sin v))) (sin v)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal 4/315 binary64) e) #s(literal 1/5040 binary64)) v) v (fma.f64 #s(literal -2/15 binary64) e #s(literal 1/120 binary64))) (.f64 v v) (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
#s(approx (+ (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) 1) (* (* (sin v) (/ e (- 1 (pow (* (cos v) e) 2)))) (* (neg e) (cos v)))) #s(approx (* (+ (* (neg e) (* (cos v) (sin v))) (sin v)) e) (.f64 #s(approx (- (/ (sin v) e) ( (cos v) (sin v))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 4/315 binary64) (/.f64 #s(literal 1/5040 binary64) e)) v) v (-.f64 (/.f64 #s(literal 1/120 binary64) e) #s(literal 2/15 binary64))) (.f64 v v) (-.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1/6 binary64) e))) (.f64 v v) (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)) (*.f64 e e))))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
47.6%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
47.6%	1	`e`
49.2%	2	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes11.0ms (0.1%)

Memory

-32.0MiB live, 13.4MiB allocated; 5ms collecting garbage

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
49.2%	2	`v`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	v
5.0ms	e

Results

Accuracy	Segments	Branch
47.6%	1	`e`
47.6%	1	`v`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes11.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
47.6%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
47.6%	1	`e`
47.6%	1	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes15.0ms (0.2%)

Memory

-33.3MiB live, 18.3MiB allocated; 8ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	v
3.0ms	e
3.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
46.9%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
46.9%	1	`e`
46.9%	1	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes8.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Accuracy

Total -14.4b remaining (-42.1%)

Threshold costs -14.4b (-42.1%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

1.0ms	(/.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
46.4%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
46.4%	1	`e`
46.4%	1	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch21.0ms (0.3%)

Memory

-22.0MiB live, 23.7MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.16001839096500053	5.815406597145511

Samples

15.0ms

112×

valid

Compiler

Compiled 483 to 329 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sin: 4.0ms (43.5% of total)

ival-cos: 3.0ms (32.6% of total)

ival-mult: 2.0ms (21.7% of total)

ival-div: 1.0ms (10.9% of total)

ival-add: 1.0ms (10.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.16001839096500053	5.815406597145511

Compiler

Compiled 546 to 371 computations (32.1% saved)

simplify71.0ms (0.9%)

Memory

20.9MiB live, 66.0MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	92	367
1	141	367
2	237	365
3	489	365
4	922	365
5	1408	365
6	2140	364
7	3584	364
8	6104	364

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) #s(literal 1 binary64) (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (.f64 (neg.f64 e) (cos.f64 v))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(if (<=.f64 v #s(literal 3602879701896397/1125899906842624 binary64)) (/.f64 #s(approx (* e (sin v)) (fma.f64 v e (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal -1/6 binary64) e)) v) v) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 #s(approx ( (- 1 e) v) (*.f64 (neg.f64 e) v)) e))))
(if (<=.f64 v #s(literal 3602879701896397/1125899906842624 binary64)) (/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 #s(approx (+ ( (* (* v v) e) 1/120) (* -1/6 e)) (.f64 (-.f64 (.f64 (.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) e)) (.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 #s(approx ( (- 1 e) v) (*.f64 (neg.f64 e) v)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))

Outputs
(fma.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) #s(literal 1 binary64) (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (.f64 (neg.f64 e) (cos.f64 v))))
(fma.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) #s(literal 1 binary64) (.f64 (.f64 (sin.f64 v) (/.f64 e (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))) (.f64 e (cos.f64 v))))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(if (<=.f64 v #s(literal 3602879701896397/1125899906842624 binary64)) (/.f64 #s(approx (* e (sin v)) (fma.f64 v e (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal -1/6 binary64) e)) v) v) v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 #s(approx ( (- 1 e) v) (*.f64 (neg.f64 e) v)) e))))
(if (<=.f64 v #s(literal 3602879701896397/1125899906842624 binary64)) (/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 #s(approx (+ ( (* (* v v) e) 1/120) (* -1/6 e)) (.f64 (-.f64 (.f64 (.f64 v v) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) e)) (.f64 v v) e) v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 #s(approx ( (- 1 e) v) (*.f64 (neg.f64 e) v)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))

derivations1.3s (16.1%)

Memory

29.7MiB live, 1 311.7MiB allocated; 120ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	388
0	95	380
1	333	342
2	2318	342
0	8511	334
0	602	3874
1	2022	3753
2	7186	3674
0	8693	3548
0	195	841
1	643	829
2	2192	788
3	7356	761
0	8175	705
0	490	2699
1	1685	2590
2	5951	2499
0	8118	2400
0	37	226
0	62	219
1	220	197
2	1321	197
0	8332	197
0	9	29
0	15	29
1	49	29
2	256	29
3	2195	29
0	9771	27
0	496	2534
1	1674	2441
2	6049	2374
0	8345	2270

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

Compiler

Compiled 366 to 99 computations (73% saved)

preprocess132.0ms (1.7%)

Memory: -32.7MiB live, 149.2MiB allocated; 18ms collecting garbage
Remove: (negabs v)
Compiler: Compiled 886 to 288 computations (67.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze16.0ms (0.2%)

sample1.7s (21.2%)

explain198.0ms (2.5%)

preprocess187.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify113.0ms (1.4%)

localize33.0ms (0.4%)

series11.0ms (0.1%)

simplify148.0ms (1.9%)

rewrite166.0ms (2.1%)

eval61.0ms (0.8%)

prune24.0ms (0.3%)

simplify127.0ms (1.6%)

localize170.0ms (2.2%)

series104.0ms (1.3%)

simplify296.0ms (3.8%)

rewrite775.0ms (9.8%)

eval202.0ms (2.6%)

prune63.0ms (0.8%)

simplify120.0ms (1.5%)

localize139.0ms (1.8%)

series49.0ms (0.6%)

simplify217.0ms (2.8%)

rewrite177.0ms (2.3%)

eval109.0ms (1.4%)

prune32.0ms (0.4%)

simplify151.0ms (1.9%)

localize142.0ms (1.8%)

series38.0ms (0.5%)

simplify174.0ms (2.2%)

rewrite178.0ms (2.3%)

eval64.0ms (0.8%)

prune76.0ms (1%)

regimes48.0ms (0.6%)

regimes46.0ms (0.6%)

regimes36.0ms (0.5%)

regimes78.0ms (1%)

regimes30.0ms (0.4%)

regimes27.0ms (0.3%)

regimes23.0ms (0.3%)

regimes11.0ms (0.1%)

regimes12.0ms (0.2%)

regimes11.0ms (0.1%)

regimes15.0ms (0.2%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch21.0ms (0.3%)

bsearch1.0ms (0%)

simplify71.0ms (0.9%)

derivations1.3s (16.1%)

preprocess132.0ms (1.7%)

end0.0ms (0%)

Profiling