Metrics for Trigonometry A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze36.0ms (0.7%)

Memory

-23.6MiB live, 30.3MiB allocated; 27ms 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 (29.9%)

Memory

82.5MiB live, 2 788.0MiB allocated; 440ms collecting garbage

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 921.0ms

ival-sin: 277.0ms (30.1% of total)

ival-cos: 240.0ms (26.1% of total)

ival-mult: 131.0ms (14.2% of total)

ival-<=: 118.0ms (12.8% of total)

ival-add: 79.0ms (8.6% of total)

ival-div: 48.0ms (5.2% of total)

ival-and: 12.0ms (1.3% of total)

exact: 10.0ms (1.1% of total)

adjust: 3.0ms (0.3% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain154.0ms (2.8%)

Memory

24.2MiB live, 405.2MiB allocated; 20ms 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

84.0ms

512×

valid

Compiler

Compiled 79 to 31 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-sin: 12.0ms (28.8% of total)

ival-cos: 11.0ms (26.4% of total)

ival-mult: 10.0ms (24% of total)

ival-add: 5.0ms (12% of total)

ival-div: 3.0ms (7.2% 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)

preprocess282.0ms (5.1%)

Memory

-66.7MiB live, 297.9MiB allocated; 125ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	61
1	76	57
2	167	55
3	335	55
4	680	55
5	1664	55
6	6940	55
0	9	11
0	15	11
1	32	11
2	52	11
3	102	11
4	241	11
5	777	11
6	4461	11
0	8071	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

1.3MiB live, 1.3MiB 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)

simplify137.0ms (2.5%)

Memory

32.0MiB live, 214.9MiB allocated; 26ms 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	52	32
3	102	32
4	241	32
5	777	32
6	4461	32
0	8071	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)

localize51.0ms (0.9%)

Memory

-22.1MiB live, 69.5MiB allocated; 11ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(cos.f64 v)
accuracy	0.029628759768442016	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
accuracy	0.1328125	(*.f64 e (sin.f64 v))
accuracy	0.13671875	(*.f64 e (cos.f64 v))

Samples

41.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

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

ival-sin: 6.0ms (33% of total)

ival-cos: 5.0ms (27.5% of total)

ival-mult: 3.0ms (16.5% of total)

ival-div: 1.0ms (5.5% of total)

ival-add: 1.0ms (5.5% 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)

series12.0ms (0.2%)

Memory

33.2MiB live, 33.2MiB 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
3.0ms	e	@	-inf	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
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))

simplify140.0ms (2.5%)

Memory

-31.8MiB live, 256.7MiB allocated; 31ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	841
1	643	829
2	2224	786
0	8453	733

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

rewrite42.0ms (0.8%)

Memory

28.8MiB live, 121.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	15	29
1	49	29
0	282	27

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

6 → 47

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

eval36.0ms (0.7%)

Memory: -31.1MiB live, 77.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 1 833 to 361 computations (80.3% saved)

prune5.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	76	7	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	7	84

Accuracy

99.8%

Counts

84 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (-.f64 e #s(literal -1 binary64))))
	99.7%	(.f64 (/.f64 (.f64 (sin.f64 v) e) (+.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)))
▶	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
	99.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
▶	48.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
▶	98.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
▶	97.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))

Compiler

Compiled 260 to 186 computations (28.5% saved)

simplify103.0ms (1.9%)

Memory

20.8MiB live, 161.5MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	186
0	46	181
1	77	181
2	121	181
3	269	181
4	908	181
5	4247	181
0	8407	181

Stop Event

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

Calls

Call 1

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

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

localize79.0ms (1.4%)

Memory

3.4MiB live, 144.8MiB allocated; 3ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.006191259768442017	(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
accuracy	0.03125	(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
accuracy	0.13671875	(.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)
accuracy	0.6371607489281721	#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))
accuracy	0.0	(sin.f64 v)
accuracy	0.029628759768442016	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (-.f64 e #s(literal -1 binary64))))
accuracy	0.1328125	(*.f64 e (sin.f64 v))
accuracy	0.7728433819206193	#s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64)))
accuracy	0.0	(sin.f64 v)
accuracy	0.1328125	(*.f64 (sin.f64 v) e)
accuracy	1.3468215663525875	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
accuracy	0.0	(-.f64 e #s(literal -1 binary64))
accuracy	0.0234375	(*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v)
accuracy	0.03125	(/.f64 e (-.f64 e #s(literal -1 binary64)))
accuracy	32.979855367099	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) v))
accuracy	0.0	(sin.f64 v)
accuracy	0.00390625	(cos.f64 v)
accuracy	0.02734375	(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy	0.1484375	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)

Samples

53.0ms

256×

valid

Compiler

Compiled 161 to 25 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 14.0ms (38.5% of total)

ival-sin: 6.0ms (16.5% of total)

ival-cos: 5.0ms (13.8% of total)

ival-div: 4.0ms (11% of total)

ival-add: 4.0ms (11% of total)

ival-sub: 1.0ms (2.8% of total)

ival-neg: 1.0ms (2.8% 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)

series35.0ms (0.6%)

Memory

-11.1MiB live, 38.6MiB allocated; 5ms collecting garbage

Counts

18 → 93

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	e	@	0	((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (cos v))
5.0ms	v	@	inf	((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (cos v))
4.0ms	v	@	0	((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (cos v))
3.0ms	e	@	-inf	((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (cos v))
3.0ms	v	@	-inf	((* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (/ e (- e -1)) (- e -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (+ (* (neg e) (cos v)) 1) (cos v))

simplify227.0ms (4.1%)

Memory

-28.9MiB live, 206.6MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	414	1947
1	1499	1841
2	6056	1781
0	8556	1680

Stop Event

1×	iter limit
1×	node limit

Counts

93 → 91

Calls

Call 1

Inputs
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(sin v)
(+ (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)))))
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)
(+ 1 (* -1 (* e (cos v))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))
(- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))))
(/ (sin v) (* 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)
(* 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))))
(* e (+ 1 (/ 1 e)))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (* (cos v) (sin v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (cos v)))
(* 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 (/ (+ (* -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 (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 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(* -1 (* e (- (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 (+ 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 (* -1/6 (pow v 2))))
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(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(+ 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 (+ 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 (* -1 e))))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))))))))))))
(+ 1 (* -1 e))
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(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))))
(+ 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) (+ 1 (* e (cos v))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* (sin v) (+ 1 (* -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 (.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
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(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(.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)
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(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
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1
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(* e (+ 1 (* -1 e)))
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(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) e) e #s(literal -1 binary64)) e #s(literal 1 binary64)) e)
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(/ (sin v) (* e (cos v)))
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(* e (cos v))
(*.f64 (cos.f64 v) e)
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v
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(- (+ 1 (/ 1 (pow e 2))) (+ (/ 1 e) (/ 1 (pow e 3))))
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(* e (+ 1 (/ 1 e)))
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(.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))
(* -1 (* e (* (cos v) (sin v))))
(.f64 (neg.f64 e) (.f64 (cos.f64 v) (sin.f64 v)))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) e)
(* -1 (* e (cos v)))
(*.f64 (neg.f64 e) (cos.f64 v))
(* e (+ (* -1 (cos v)) (/ 1 e)))
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(.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) e)
(* -1 (* e (- (cos v) (/ 1 e))))
(*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))
(/ (* e v) (+ 1 e))
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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))))
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(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) e) (fma.f64 (.f64 #s(literal 1/2 binary64) e) (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/24 binary64) e) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64)))) (.f64 v v) (fma.f64 (.f64 #s(literal 1/2 binary64) e) (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64)))) (.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))) (fma.f64 #s(literal -1/720 binary64) (.f64 e (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) e) (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64)))) e (.f64 (.f64 #s(literal -1/2 binary64) e) (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) e) (fma.f64 (.f64 #s(literal 1/2 binary64) e) (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/24 binary64) e) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64)))))) (-.f64 e #s(literal -1 binary64))))) (.f64 v v) (-.f64 (.f64 #s(literal 1/120 binary64) (/.f64 e (-.f64 e #s(literal -1 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) e) (fma.f64 (.f64 #s(literal 1/2 binary64) e) (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/24 binary64) e) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64))))) (.f64 v v) (fma.f64 (.f64 #s(literal 1/2 binary64) e) (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 e (-.f64 e #s(literal -1 binary64))) #s(literal -1/6 binary64)))) (.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e))
(/ v (+ 1 e))
(/.f64 v (-.f64 e #s(literal -1 binary64)))
(* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(fma.f64 (.f64 v (.f64 (neg.f64 v) v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64))) (/.f64 v (-.f64 e #s(literal -1 binary64))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (-.f64 e #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) e) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 1/24 binary64) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64)))) (.f64 v v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64)))) (/.f64 v (-.f64 e #s(literal -1 binary64))))
(* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (-.f64 (.f64 (fma.f64 (.f64 (neg.f64 v) v) (+.f64 (/.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) e) (-.f64 (/.f64 #s(literal 1/120 binary64) (-.f64 e #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) e) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 1/24 binary64) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64)))) (.f64 (.f64 #s(literal -1/24 binary64) e) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64))))) #s(literal 1/5040 binary64)) (-.f64 e #s(literal -1 binary64))) (.f64 (/.f64 e (pow.f64 (-.f64 e #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1/720 binary64))) (-.f64 (/.f64 #s(literal 1/120 binary64) (-.f64 e #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) e) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 1/24 binary64) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64))))) (.f64 v v)) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) e) (-.f64 e #s(literal -1 binary64)))) (-.f64 e #s(literal -1 binary64)))) (/.f64 v (-.f64 e #s(literal -1 binary64))))
(* v (+ 1 (* -1/6 (pow v 2))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 v v) #s(literal -1/6 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) v)
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 (.f64 (.f64 v v) e) #s(literal -1/2 binary64) (-.f64 e #s(literal -1 binary64)))
(+ 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 e #s(literal -1 binary64)))
(* 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))
(* e (* v (+ 1 (* -1 e))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(.f64 (.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) e) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) e (.f64 (pow.f64 v #s(literal 4 binary64)) (.f64 (fma.f64 (*.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) e))) v)
(* v (+ 1 (* -1 e)))
(*.f64 (-.f64 #s(literal 1 binary64) e) v)
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)
(+ 1 (* -1 e))
(-.f64 #s(literal 1 binary64) e)
(+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2)))))
(fma.f64 (.f64 (.f64 v v) e) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) e))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e)))))
(-.f64 #s(literal 1 binary64) (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))
(+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2)))))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal -1/24 binary64) e)) v) v (.f64 #s(literal 1/2 binary64) e)) (.f64 v v) (-.f64 #s(literal 1 binary64) e))
(+ 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))
(/ (* 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)))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(.f64 (.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
(cos v)
(cos.f64 v)

rewrite48.0ms (0.9%)

Memory

20.2MiB live, 67.3MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	159
0	46	154
1	139	154
0	743	154

Stop Event

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

Counts

18 → 147

Calls

Call 1

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

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

eval62.0ms (1.1%)

Memory: 14.5MiB live, 61.1MiB allocated; 2ms collecting garbage
Compiler: Compiled 7 065 to 1 056 computations (85.1% saved)

prune83.0ms (1.5%)

Memory

-35.5MiB live, 64.3MiB allocated; 10ms collecting garbage

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	240	21	261
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	243	25	268

Accuracy

99.9%

Counts

268 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (-.f64 (/.f64 (*.f64 e e) (+.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) e)))))
✓	98.6%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (-.f64 e #s(literal -1 binary64))))
▶	99.7%	(.f64 (/.f64 (.f64 e (sin.f64 v)) (-.f64 (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
	48.4%	(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (/.f64 v (-.f64 e #s(literal -1 binary64)))) e)
▶	48.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))))
	99.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
	98.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 e (sin.f64 v))))
	48.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 e v) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e)))
	48.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 (/.f64 e (-.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 e e (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))) v))
	98.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
	98.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) (sin.f64 v)) e))
✓	97.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
	48.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (- e -1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
	47.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
▶	47.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
	98.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) e)) e))
	48.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e))))
▶	47.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (*.f64 e v)))
	71.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
	47.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (.f64 e v) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)))))
	47.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (.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)))
	47.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (.f64 (fma.f64 (.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))

Compiler

Compiled 1 355 to 896 computations (33.9% saved)

simplify105.0ms (1.9%)

Memory

41.1MiB live, 132.1MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	401
0	85	401
1	158	384
2	415	384
3	1859	384
0	8466	372

Stop Event

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

Calls

Call 1

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

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

localize169.0ms (3%)

Memory

-21.1MiB live, 215.5MiB allocated; 21ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.025722509768442016	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (-.f64 (/.f64 (*.f64 e e) (+.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) e)))))
accuracy	0.02734375	(/.f64 (*.f64 e e) (+.f64 #s(literal -1 binary64) e))
accuracy	0.12890625	(*.f64 e (sin.f64 v))
accuracy	0.5908638934995581	#s(approx (+ 1 (* e (cos v))) (-.f64 (/.f64 (*.f64 e e) (+.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) e))))
accuracy	0.1328125	(.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)
accuracy	0.37109375	(*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v)
accuracy	0.42874457645084013	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
accuracy	32.933167110288515	#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v))
accuracy	0.0	(-.f64 e #s(literal -1 binary64))
accuracy	0.0	(*.f64 e v)
accuracy	0.033535009768442016	(/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))
accuracy	32.7435699186721	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))))
accuracy	0.0	(*.f64 e v)
accuracy	1.1889001995765867	#s(approx (* (/ e (- e -1)) v) (*.f64 e v))
accuracy	32.7435699186721	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (*.f64 e v)))
accuracy	0.03125	(.f64 (/.f64 (.f64 e (sin.f64 v)) (-.f64 (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))
accuracy	0.12890625	(*.f64 e (sin.f64 v))
accuracy	0.13318256837909415	(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))
accuracy	0.13671875	(*.f64 e (cos.f64 v))

Samples

135.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 303 to 47 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 23.0ms (27.7% of total)

ival-cos: 16.0ms (19.3% of total)

ival-div: 11.0ms (13.3% of total)

ival-add: 9.0ms (10.9% of total)

const: 6.0ms (7.2% of total)

ival-sin: 6.0ms (7.2% of total)

ival-sub: 5.0ms (6% of total)

ival-pow: 3.0ms (3.6% of total)

adjust: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

series60.0ms (1.1%)

Memory

3.8MiB live, 86.3MiB allocated; 26ms collecting garbage

Counts

20 → 109

Calls

Call 1

Inputs
(.f64 (/.f64 (.f64 e (sin.f64 v)) (-.f64 (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 e (sin.f64 v)) (-.f64 (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 e (sin.f64 v))
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (*.f64 e v)))
#s(approx (* (/ e (- e -1)) v) (*.f64 e v))
(*.f64 e v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))))
(/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64)))
(-.f64 e #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
(.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v) v (-.f64 #s(literal 1 binary64) e)) v))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (-.f64 (/.f64 (*.f64 e e) (+.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) e)))))
#s(approx (+ 1 (* e (cos v))) (-.f64 (/.f64 (*.f64 e e) (+.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) e))))
(*.f64 e (cos.f64 v))
(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 3 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v)
(/.f64 (*.f64 e e) (+.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)))) (* (pow (cos v) 2) (sin v))))))))
(* e (+ (sin v) (* -1 (* (pow e 3) (* (pow (cos v) 3) (sin v))))))
(* e (+ (sin v) (* (pow e 3) (- (* (pow e 3) (* (pow (cos v) 6) (sin v))) (* (pow (cos v) 3) (sin v))))))
(* e (+ (sin v) (* (pow e 3) (- (* (pow e 3) (- (* -1 (* (pow e 3) (* (pow (cos v) 9) (sin v)))) (* -1 (* (pow (cos v) 6) (sin v))))) (* (pow (cos v) 3) (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))))
1
(+ 1 e)
-1/6
(- (* 2/3 e) 1/6)
(sin v)
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
(+ 1 (* e (cos v)))
(* e (cos v))
(* (pow e 3) (pow (cos v) 3))
(* -1/6 v)
(+ (* -1/6 v) (* 2/3 (* e v)))
(* -1 (pow e 2))
(* (pow e 2) (- (* -1 e) 1))
(* (pow e 2) (- (* e (- (* -1 e) 1)) 1))
(* (pow e 2) (- (* e (- (* e (- (* -1 e) 1)) 1)) 1))
(/ (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) (* (pow e 2) (pow (cos v) 3)))
(/ (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 6)))) (/ (sin v) (pow (cos v) 3))) (pow e 2))
(/ (- (+ (/ (sin v) (* (pow e 6) (pow (cos v) 9))) (/ (sin v) (pow (cos v) 3))) (/ (sin v) (* (pow e 3) (pow (cos v) 6)))) (pow e 2))
(/ (- (+ (* -1 (/ (sin v) (* (pow e 9) (pow (cos v) 12)))) (/ (sin v) (pow (cos v) 3))) (+ (* -1 (/ (sin v) (* (pow e 6) (pow (cos v) 9)))) (/ (sin v) (* (pow e 3) (pow (cos v) 6))))) (pow e 2))
(- (+ (/ (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)))
e
(* e (+ 1 (/ 1 e)))
(* 2/3 e)
(* e (- 2/3 (* 1/6 (/ 1 e))))
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (* (cos v) (sin v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* e (+ (cos v) (/ 1 e)))
(* 2/3 (* e v))
(* e (+ (* -1/6 (/ v e)) (* 2/3 v)))
(* e (+ 1 (+ (/ 1 e) (/ 1 (pow e 2)))))
(* e (+ 1 (+ (/ 1 e) (+ (/ 1 (pow e 2)) (/ 1 (pow e 3))))))
(+ (* -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 (/ (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 9)))) (/ (sin v) (pow (cos v) 6))) (pow e 3))) (/ (sin v) (pow (cos v) 3))) (pow e 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 12)))) (/ (sin v) (pow (cos v) 9))) (pow e 3))) (/ (sin v) (pow (cos v) 6))) (pow e 3))) (/ (sin v) (pow (cos v) 3))) (pow e 2))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(* -1 (* e (- (* 1/6 (/ 1 e)) 2/3)))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (+ (* -2/3 v) (* 1/6 (/ v e)))))
(* -1 (* e (- (* -1 (/ (+ 1 (/ 1 e)) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ 1 (+ (/ 1 e) (/ 1 (pow e 2)))) e)) 1)))
(/ (* e (* v (+ 1 (* e (- e 1))))) (+ 1 (pow e 3)))
(* v (+ (* (pow v 2) (- (/ (* e (+ (* -1/6 (+ 1 (* e (- e 1)))) (* e (+ (* -1/2 e) (* -1/2 (- e 1)))))) (+ 1 (pow e 3))) (* -3/2 (/ (* (pow e 4) (+ 1 (* e (- e 1)))) (pow (+ 1 (pow e 3)) 2))))) (/ (* e (+ 1 (* e (- e 1)))) (+ 1 (pow e 3)))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/6 (* e (+ (* -1/2 e) (* -1/2 (- e 1))))) (+ (* 1/120 (+ 1 (* e (- e 1)))) (* e (+ (* 1/24 e) (+ (* 1/24 (- e 1)) (* 1/4 e))))))) (+ 1 (pow e 3))) (+ (* -3/2 (/ (* (pow e 3) (- (/ (* e (+ (* -1/6 (+ 1 (* e (- e 1)))) (* e (+ (* -1/2 e) (* -1/2 (- e 1)))))) (+ 1 (pow e 3))) (* -3/2 (/ (* (pow e 4) (+ 1 (* e (- e 1)))) (pow (+ 1 (pow e 3)) 2))))) (+ 1 (pow e 3)))) (* 7/8 (/ (* (pow e 4) (+ 1 (* e (- e 1)))) (pow (+ 1 (pow e 3)) 2)))))) (/ (* e (+ (* -1/6 (+ 1 (* e (- e 1)))) (* e (+ (* -1/2 e) (* -1/2 (- e 1)))))) (+ 1 (pow e 3)))) (* -3/2 (/ (* (pow e 4) (+ 1 (* e (- e 1)))) (pow (+ 1 (pow e 3)) 2))))) (/ (* e (+ 1 (* e (- e 1)))) (+ 1 (pow e 3)))))
(* v (+ (* (pow v 2) (- (+ (* (pow v 2) (- (+ (* (pow v 2) (- (/ (* e (+ (* -1/6 (* e (+ (* 1/24 e) (+ (* 1/24 (- e 1)) (* 1/4 e))))) (+ (* -1/5040 (+ 1 (* e (- e 1)))) (+ (* 1/120 (* e (+ (* -1/2 e) (* -1/2 (- e 1))))) (* e (+ (* -1/24 e) (+ (* -1/720 e) (* -1/720 (- e 1))))))))) (+ 1 (pow e 3))) (+ (* -3/2 (/ (* (pow e 3) (- (/ (* e (+ (* -1/6 (* e (+ (* -1/2 e) (* -1/2 (- e 1))))) (+ (* 1/120 (+ 1 (* e (- e 1)))) (* e (+ (* 1/24 e) (+ (* 1/24 (- e 1)) (* 1/4 e))))))) (+ 1 (pow e 3))) (+ (* -3/2 (/ (* (pow e 3) (- (/ (* e (+ (* -1/6 (+ 1 (* e (- e 1)))) (* e (+ (* -1/2 e) (* -1/2 (- e 1)))))) (+ 1 (pow e 3))) (* -3/2 (/ (* (pow e 4) (+ 1 (* e (- e 1)))) (pow (+ 1 (pow e 3)) 2))))) (+ 1 (pow e 3)))) (* 7/8 (/ (* (pow e 4) (+ 1 (* e (- e 1)))) (pow (+ 1 (pow e 3)) 2)))))) (+ 1 (pow e 3)))) (+ (* -61/240 (/ (* (pow e 4) (+ 1 (* e (- e 1)))) (pow (+ 1 (pow e 3)) 2))) (* 7/8 (/ (* (pow e 3) (- (/ (* e (+ (* -1/6 (+ 1 (* e (- e 1)))) (* e (+ (* -1/2 e) (* -1/2 (- e 1)))))) (+ 1 (pow e 3))) (* -3/2 (/ (* (pow e 4) (+ 1 (* e (- e 1)))) (pow (+ 1 (pow e 3)) 2))))) (+ 1 (pow e 3)))))))) (/ (* e (+ (* -1/6 (* e (+ (* -1/2 e) (* -1/2 (- e 1))))) (+ (* 1/120 (+ 1 (* e (- e 1)))) (* e (+ (* 1/24 e) (+ (* 1/24 (- e 1)) (* 1/4 e))))))) (+ 1 (pow e 3)))) (+ (* -3/2 (/ (* (pow e 3) (- (/ (* e (+ (* -1/6 (+ 1 (* e (- e 1)))) (* e (+ (* -1/2 e) (* -1/2 (- e 1)))))) (+ 1 (pow e 3))) (* -3/2 (/ (* (pow e 4) (+ 1 (* e (- e 1)))) (pow (+ 1 (pow e 3)) 2))))) (+ 1 (pow e 3)))) (* 7/8 (/ (* (pow e 4) (+ 1 (* e (- e 1)))) (pow (+ 1 (pow e 3)) 2)))))) (/ (* e (+ (* -1/6 (+ 1 (* e (- e 1)))) (* e (+ (* -1/2 e) (* -1/2 (- e 1)))))) (+ 1 (pow e 3)))) (* -3/2 (/ (* (pow e 4) (+ 1 (* e (- e 1)))) (pow (+ 1 (pow e 3)) 2))))) (/ (* e (+ 1 (* e (- e 1)))) (+ 1 (pow e 3)))))
(/ (* e v) (+ 1 (pow e 3)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 (pow e 3)))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (/ e (+ 1 (pow e 3)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 (pow e 3)))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 (pow e 3)))) (+ (* -3/2 (/ (* (pow e 3) (- (* -1/6 (/ e (+ 1 (pow e 3)))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (+ 1 (pow e 3)))) (* 7/8 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (/ e (+ 1 (pow e 3)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 (pow e 3)))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 (pow e 3)))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 (pow e 3)))) (+ (* -3/2 (/ (* (pow e 3) (- (* 1/120 (/ e (+ 1 (pow e 3)))) (+ (* -3/2 (/ (* (pow e 3) (- (* -1/6 (/ e (+ 1 (pow e 3)))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (+ 1 (pow e 3)))) (* 7/8 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2)))))) (+ 1 (pow e 3)))) (+ (* -61/240 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))) (* 7/8 (/ (* (pow e 3) (- (* -1/6 (/ e (+ 1 (pow e 3)))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (+ 1 (pow e 3))))))))) (+ (* -3/2 (/ (* (pow e 3) (- (* -1/6 (/ e (+ 1 (pow e 3)))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (+ 1 (pow e 3)))) (* 7/8 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (/ e (+ 1 (pow e 3)))))
(* 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))))
(/ (* e v) (+ 1 e))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(* e (* v (+ 1 (* -1 e))))
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* v (+ 1 (* -1 e)))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))))))))))))
(+ 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 (* -1/2 (* 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))))))
(pow e 3)
(+ (* -3/2 (* (pow e 3) (pow v 2))) (pow e 3))
(+ (* (pow v 2) (+ (* -3/2 (pow e 3)) (* 7/8 (* (pow e 3) (pow v 2))))) (pow e 3))
(+ (* (pow v 2) (+ (* -3/2 (pow e 3)) (* (pow v 2) (+ (* -61/240 (* (pow e 3) (pow v 2))) (* 7/8 (pow e 3)))))) (pow e 3))
(* v (- (+ (* 1/6 e) (* 1/2 e)) 1/6))
(/ (* e (* (sin v) (+ 1 (* e (* (cos v) (- (* e (cos v)) 1)))))) (+ 1 (* (pow e 3) (pow (cos v) 3))))
(/ (* e (sin v)) (+ 1 (* (pow e 3) (pow (cos v) 3))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	e	@	-inf	((* (/ (* e (sin v)) (- (pow (* e (cos v)) 3) -1)) (+ (* (* e (cos v)) (+ (* e (cos v)) -1)) 1)) (/ (* e (sin v)) (- (pow (* e (cos v)) 3) -1)) (* e (sin v)) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (- e -1)) (- e -1) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (* e (cos v)) (pow (* e (cos v)) 3) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (/ (* e e) (+ -1 e)))
15.0ms	v	@	-inf	((* (/ (* e (sin v)) (- (pow (* e (cos v)) 3) -1)) (+ (* (* e (cos v)) (+ (* e (cos v)) -1)) 1)) (/ (* e (sin v)) (- (pow (* e (cos v)) 3) -1)) (* e (sin v)) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (- e -1)) (- e -1) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (* e (cos v)) (pow (* e (cos v)) 3) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (/ (* e e) (+ -1 e)))
11.0ms	v	@	inf	((* (/ (* e (sin v)) (- (pow (* e (cos v)) 3) -1)) (+ (* (* e (cos v)) (+ (* e (cos v)) -1)) 1)) (/ (* e (sin v)) (- (pow (* e (cos v)) 3) -1)) (* e (sin v)) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (- e -1)) (- e -1) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (* e (cos v)) (pow (* e (cos v)) 3) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (/ (* e e) (+ -1 e)))
7.0ms	v	@	0	((* (/ (* e (sin v)) (- (pow (* e (cos v)) 3) -1)) (+ (* (* e (cos v)) (+ (* e (cos v)) -1)) 1)) (/ (* e (sin v)) (- (pow (* e (cos v)) 3) -1)) (* e (sin v)) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (- e -1)) (- e -1) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (* e (cos v)) (pow (* e (cos v)) 3) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (/ (* e e) (+ -1 e)))
5.0ms	e	@	inf	((* (/ (* e (sin v)) (- (pow (* e (cos v)) 3) -1)) (+ (* (* e (cos v)) (+ (* e (cos v)) -1)) 1)) (/ (* e (sin v)) (- (pow (* e (cos v)) 3) -1)) (* e (sin v)) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (- e -1)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* e v) (- e -1)) (- e -1) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 (* e (cos v))) (* e (cos v)) (pow (* e (cos v)) 3) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (/ (* e e) (+ -1 e)))

simplify156.0ms (2.8%)

Memory

5.0MiB live, 147.8MiB allocated; 31ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	577	3145
1	2039	3007
0	8345	2826

Stop Event

1×	iter limit
1×	node limit

Counts

109 → 107

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)))) (* (pow (cos v) 2) (sin v))))))))
(* e (+ (sin v) (* -1 (* (pow e 3) (* (pow (cos v) 3) (sin v))))))
(* e (+ (sin v) (* (pow e 3) (- (* (pow e 3) (* (pow (cos v) 6) (sin v))) (* (pow (cos v) 3) (sin v))))))
(* e (+ (sin v) (* (pow e 3) (- (* (pow e 3) (- (* -1 (* (pow e 3) (* (pow (cos v) 9) (sin v)))) (* -1 (* (pow (cos v) 6) (sin v))))) (* (pow (cos v) 3) (sin v))))))
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(pow e 3)
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(* v (- (+ (* 1/6 e) (* 1/2 e)) 1/6))
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(/ (* e (sin v)) (+ 1 (* e (cos v))))
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(* (sin v) (+ 1 (* -1 (* e (cos v)))))

Outputs
(* e (sin v))
(*.f64 (sin.f64 v) e)
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(.f64 (.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(* e (+ (sin v) (* e (+ (* -1 (* (cos v) (sin v))) (* e (* (pow (cos v) 2) (sin v)))))))
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(.f64 (fma.f64 (fma.f64 (neg.f64 (sin.f64 v)) (cos.f64 v) (.f64 (neg.f64 e) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) e) (pow.f64 (cos.f64 v) #s(literal 2 binary64)))))) e (sin.f64 v)) e)
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(* e (+ (sin v) (* (pow e 3) (- (* (pow e 3) (- (* -1 (* (pow e 3) (* (pow (cos v) 9) (sin v)))) (* -1 (* (pow (cos v) 6) (sin v))))) (* (pow (cos v) 3) (sin v))))))
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(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 (pow e 3)))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (/ e (+ 1 (pow e 3)))))
(.f64 (fma.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 e #s(literal 4 binary64)) (pow.f64 (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 e (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1/6 binary64))) (*.f64 v v) (/.f64 e (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))) v)
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 (pow e 3)))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 (pow e 3)))) (+ (* -3/2 (/ (* (pow e 3) (- (* -1/6 (/ e (+ 1 (pow e 3)))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (+ 1 (pow e 3)))) (* 7/8 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (/ e (+ 1 (pow e 3)))))
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(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 (pow e 3)))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 (pow e 3)))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 (pow e 3)))) (+ (* -3/2 (/ (* (pow e 3) (- (* 1/120 (/ e (+ 1 (pow e 3)))) (+ (* -3/2 (/ (* (pow e 3) (- (* -1/6 (/ e (+ 1 (pow e 3)))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (+ 1 (pow e 3)))) (* 7/8 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2)))))) (+ 1 (pow e 3)))) (+ (* -61/240 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))) (* 7/8 (/ (* (pow e 3) (- (* -1/6 (/ e (+ 1 (pow e 3)))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (+ 1 (pow e 3))))))))) (+ (* -3/2 (/ (* (pow e 3) (- (* -1/6 (/ e (+ 1 (pow e 3)))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (+ 1 (pow e 3)))) (* 7/8 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (/ e (+ 1 (pow e 3)))))
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(* 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)))))))
(.f64 (fma.f64 (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 v v) e) v)
(* v (+ 1 (* -1/6 (pow v 2))))
(.f64 (fma.f64 (.f64 v v) #s(literal -1/6 binary64) #s(literal 1 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 v v) #s(literal -1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) v)
(* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) (.f64 v v) #s(literal 1 binary64)) v)
(/ (* 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))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (.f64 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/120 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 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) (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 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/5040 binary64)) (fma.f64 (.f64 (-.f64 (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/120 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 #s(literal 1/24 binary64) e) e) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64))))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal 1/24 binary64) (/.f64 (.f64 (.f64 e e) #s(literal -1/720 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))))) (.f64 v v) (-.f64 (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal 1/120 binary64)) (fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 e (/.f64 e (pow.f64 (+.f64 #s(literal 1 binary64) e) #s(literal 2 binary64)))) (.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e))) #s(literal -1/2 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) (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 v v) (/.f64 e (+.f64 #s(literal 1 binary64) e))) v)
(* e (* v (+ 1 (* -1 e))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) e) e) v)
(* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e)))))
(.f64 (.f64 v e) (fma.f64 (*.f64 (fma.f64 #s(literal 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) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))))))
(.f64 (fma.f64 (.f64 e (fma.f64 (.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)))) (.f64 v v) (*.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
(* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(.f64 (fma.f64 (fma.f64 (.f64 e (fma.f64 (.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))))) (.f64 v v) (.f64 (fma.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 (+ 1 (* -1 e)))
(*.f64 (-.f64 #s(literal 1 binary64) e) v)
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64))) v) v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (*.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)
(* v (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (+ (* 1/120 (+ 1 (* -1 e))) (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))))))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) 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 (* -1/2 (* 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)
(pow e 3)
(pow.f64 e #s(literal 3 binary64))
(+ (* -3/2 (* (pow e 3) (pow v 2))) (pow e 3))
(fma.f64 (.f64 (.f64 #s(literal -3/2 binary64) (pow.f64 e #s(literal 3 binary64))) v) v (pow.f64 e #s(literal 3 binary64)))
(+ (* (pow v 2) (+ (* -3/2 (pow e 3)) (* 7/8 (* (pow e 3) (pow v 2))))) (pow e 3))
(fma.f64 (fma.f64 (.f64 (.f64 v v) #s(literal 7/8 binary64)) (pow.f64 e #s(literal 3 binary64)) (.f64 #s(literal -3/2 binary64) (pow.f64 e #s(literal 3 binary64)))) (.f64 v v) (pow.f64 e #s(literal 3 binary64)))
(+ (* (pow v 2) (+ (* -3/2 (pow e 3)) (* (pow v 2) (+ (* -61/240 (* (pow e 3) (pow v 2))) (* 7/8 (pow e 3)))))) (pow e 3))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -61/240 binary64) (pow.f64 e #s(literal 3 binary64))) v) v (.f64 #s(literal 7/8 binary64) (pow.f64 e #s(literal 3 binary64)))) (.f64 v v) (.f64 #s(literal -3/2 binary64) (pow.f64 e #s(literal 3 binary64)))) (.f64 v v) (pow.f64 e #s(literal 3 binary64)))
(* v (- (+ (* 1/6 e) (* 1/2 e)) 1/6))
(*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v)
(/ (* e (* (sin v) (+ 1 (* e (* (cos v) (- (* e (cos v)) 1)))))) (+ 1 (* (pow e 3) (pow (cos v) 3))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 (cos.f64 v) e) #s(literal 1 binary64)) (.f64 (cos.f64 v) e) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 e (+.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/ (* e (sin v)) (+ 1 (* (pow e 3) (pow (cos v) 3))))
(.f64 (sin.f64 v) (/.f64 e (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(.f64 (.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))

rewrite82.0ms (1.5%)

Memory

35.3MiB live, 81.5MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	285
0	85	265
1	311	238
0	2559	227

Stop Event

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

Counts

20 → 209

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (sin.f64 v) e) (-.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 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (cos.f64 v) e) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (cos.f64 v) e) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 9 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 6 binary64))))
(.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (cos.f64 v) e) #s(literal 1 binary64)) e) (/.f64 (sin.f64 v) (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (cos.f64 v) e) #s(literal 1 binary64)) (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #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 (sin.f64 v) e) (/.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (cos.f64 v) e) #s(literal 1 binary64)) (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #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 (pow.f64 (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))))) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v))) (pow.f64 (.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v)) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (cos.f64 v) e) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (.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 e) (sin.f64 v))) (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v)) #s(literal 2 binary64)) #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 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v))) (pow.f64 (.f64 (*.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (.f64 (cos.f64 v) e)) (.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (.f64 (cos.f64 v) e))) (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))))) (-.f64 (.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (.f64 (cos.f64 v) e)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (.f64 (cos.f64 v) e)) (.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (.f64 (cos.f64 v) e)) (-.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))))) (.f64 (.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (cos.f64 v) e) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v))) (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (neg.f64 e) (sin.f64 v))) (.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (cos.f64 v) e) #s(literal -1 binary64)) (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) (.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (cos.f64 v) e) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (neg.f64 e) (sin.f64 v))) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v))) (pow.f64 (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v)) #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (sin.f64 v) e)) (.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v))) (pow.f64 (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v)) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 (neg.f64 e) (sin.f64 v)) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #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 (neg.f64 e) (sin.f64 v)) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v))) (pow.f64 (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v)) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (sin.f64 v) e) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v)) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #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 (sin.f64 v) e) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v))) (pow.f64 (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v)) #s(literal 2 binary64)))))
(/.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (cos.f64 v) e) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 e) (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))))
(fma.f64 (/.f64 (.f64 (sin.f64 v) e) (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64))) (.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (.f64 (cos.f64 v) e)))
(fma.f64 (/.f64 (.f64 (sin.f64 v) e) (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 9 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64))) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 6 binary64))) (.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (*.f64 (cos.f64 v) e)))
(fma.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (.f64 (cos.f64 v) e)))
(fma.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (.f64 (cos.f64 v) e) (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(fma.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (.f64 (cos.f64 v) e)) (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(fma.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) e) (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (cos.f64 v)) (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v)) e) (/.f64 (sin.f64 v) (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))) e (.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (.f64 (cos.f64 v) e)))
(fma.f64 (.f64 (.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) e) (cos.f64 v)) (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (*.f64 (cos.f64 v) e)))
(fma.f64 (fma.f64 (cos.f64 v) e #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 v) e) (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))))) (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))))
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(fma.f64 e #s(literal 1/6 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) e)))
(fma.f64 e #s(literal 1/2 binary64) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 e e)) (-.f64 (.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))))
(-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) e))
(-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 (neg.f64 e) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) e))
(+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 e e) (.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) e))))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 e e) (.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e))))))
(+.f64 (*.f64 e #s(literal 2/3 binary64)) #s(literal -1/6 binary64))
(+.f64 (.f64 #s(literal 1/6 binary64) e) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) e)))
(+.f64 (*.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)))
(+.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (*.f64 #s(literal 1/2 binary64) e))
(+.f64 #s(literal -1/6 binary64) (*.f64 e #s(literal 2/3 binary64)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
(.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e)
(.f64 e #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)))
#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (-.f64 e #s(literal -1 binary64)))) e)
(.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 ( e (cos v))) (-.f64 e #s(literal -1 binary64)))))
(.f64 e (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (-.f64 e #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 e) (sin.f64 v))) (neg.f64 (neg.f64 #s(approx (+ 1 ( e (cos v))) (-.f64 e #s(literal -1 binary64))))))
(/.f64 (.f64 (neg.f64 e) (sin.f64 v)) (neg.f64 #s(approx (+ 1 ( e (cos v))) (-.f64 e #s(literal -1 binary64)))))
(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ 1 ( e (cos v))) (-.f64 e #s(literal -1 binary64))))
(neg.f64 (/.f64 (.f64 (neg.f64 e) (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (-.f64 e #s(literal -1 binary64)))))
(neg.f64 (/.f64 (.f64 (sin.f64 v) e) (neg.f64 #s(approx (+ 1 ( e (cos v))) (-.f64 e #s(literal -1 binary64))))))
#s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (cos.f64 v)) e)
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 e) (cos.f64 v)))
(.f64 (.f64 (cos.f64 v) e) #s(literal 1 binary64))
(*.f64 (cos.f64 v) e)
(*.f64 e (cos.f64 v))
(.f64 (.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) (cos.f64 v)) e)
(.f64 (.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) e) (cos.f64 v))
(.f64 (neg.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3/2 binary64))))
(.f64 (fabs.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 (cos.f64 v) e))
(*.f64 (pow.f64 (cos.f64 v) #s(literal 3 binary64)) (pow.f64 e #s(literal 3 binary64)))
(*.f64 (pow.f64 e #s(literal 3 binary64)) (pow.f64 (cos.f64 v) #s(literal 3 binary64)))
(.f64 (.f64 (cos.f64 v) e) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))
(.f64 (cos.f64 v) (.f64 e (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))
(.f64 e (.f64 (cos.f64 v) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 v) e))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 v) e)) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 (cos.f64 v) e)) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 (cos.f64 v) e)) #s(literal 3 binary64))))
(*.f64 (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)) v)
(*.f64 v (fma.f64 e #s(literal 2/3 binary64) #s(literal -1/6 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 e e)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64))) v) (-.f64 (.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64))) v) (fma.f64 #s(literal 1/4 binary64) (.f64 e e) (.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) e)))))
(/.f64 (.f64 v (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 e e)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) e) (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))
(/.f64 (.f64 v (fma.f64 #s(literal 1/8 binary64) (pow.f64 e #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (.f64 e e) (.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (.f64 #s(literal 1/2 binary64) e)))))
(fma.f64 (.f64 e #s(literal 2/3 binary64)) v (.f64 #s(literal -1/6 binary64) v))
(fma.f64 (.f64 #s(literal 1/2 binary64) e) v (.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v (.f64 (.f64 #s(literal 1/2 binary64) e) v))
(fma.f64 v (.f64 e #s(literal 2/3 binary64)) (.f64 v #s(literal -1/6 binary64)))
(fma.f64 v (.f64 #s(literal 1/2 binary64) e) (.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))
(fma.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) (.f64 v (.f64 #s(literal 1/2 binary64) e)))
(+.f64 (.f64 (.f64 e #s(literal 2/3 binary64)) v) (*.f64 #s(literal -1/6 binary64) v))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) e) v) (*.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v))
(+.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64)) v) (.f64 (*.f64 #s(literal 1/2 binary64) e) v))
(+.f64 (.f64 v (.f64 e #s(literal 2/3 binary64))) (*.f64 v #s(literal -1/6 binary64)))
(+.f64 (.f64 v (.f64 #s(literal 1/2 binary64) e)) (*.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))))
(+.f64 (.f64 v (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) (.f64 v (*.f64 #s(literal 1/2 binary64) e)))
(.f64 (/.f64 (.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal -1 binary64) e))
(.f64 (/.f64 (.f64 e e) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 e (-.f64 e #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 e (+.f64 #s(literal -1 binary64) e)) e)
(*.f64 (fabs.f64 e) (/.f64 (fabs.f64 e) (+.f64 #s(literal -1 binary64) e)))
(*.f64 (neg.f64 e) (/.f64 (neg.f64 e) (+.f64 #s(literal -1 binary64) e)))
(*.f64 e (/.f64 e (+.f64 #s(literal -1 binary64) e)))
(/.f64 (*.f64 (neg.f64 e) e) (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64)))
(/.f64 (*.f64 e e) (neg.f64 (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))))
(/.f64 (*.f64 e e) (+.f64 #s(literal -1 binary64) e))
(neg.f64 (/.f64 (*.f64 (neg.f64 e) e) (+.f64 #s(literal -1 binary64) e)))
(neg.f64 (/.f64 (*.f64 e e) (fma.f64 #s(literal -1 binary64) e #s(literal 1 binary64))))

eval75.0ms (1.4%)

Memory: -17.0MiB live, 80.3MiB allocated; 32ms collecting garbage
Compiler: Compiled 13 414 to 1 606 computations (88% saved)

prune25.0ms (0.4%)

Memory

-4.0MiB live, 43.7MiB allocated; 4ms collecting garbage

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	324	8	332
Fresh	4	13	17
Picked	1	4	5
Done	0	3	3
Total	329	28	357

Accuracy

99.9%

Counts

357 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))) e (.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (.f64 (cos.f64 v) e)))
✓	98.6%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (-.f64 (/.f64 (*.f64 e e) (+.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) e)))))
	98.6%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (-.f64 (.f64 (/.f64 (.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) e)))))
✓	98.6%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (-.f64 e #s(literal -1 binary64))))
✓	99.7%	(.f64 (/.f64 (.f64 e (sin.f64 v)) (-.f64 (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
	48.4%	(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (/.f64 v (-.f64 e #s(literal -1 binary64)))) e)
✓	48.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))))
	99.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
▶	98.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 e (sin.f64 v))))
	48.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e)))
▶	48.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) (*.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e)) (-.f64 e #s(literal -1 binary64)))) (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e))))
	98.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
	98.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) (sin.f64 v)) e))
✓	97.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
	48.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (- e -1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
	47.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
	47.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (.f64 #s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)) v)) e))
	98.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) e)) e))
▶	48.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (-.f64 v (/.f64 v e))))
✓	47.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (*.f64 e v)))
	71.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
	47.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
	47.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (.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)))
▶	47.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (.f64 (fma.f64 (.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
	48.5%	#s(approx (* (/ (* e (sin v)) (- (pow (* e (cos v)) 3) -1)) (+ (* (* e (cos v)) (+ (* e (cos v)) -1)) 1)) (.f64 (.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) e #s(literal 1 binary64)) v) (/.f64 e (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))))

Compiler

Compiled 1 499 to 958 computations (36.1% saved)

simplify103.0ms (1.9%)

Memory

35.4MiB live, 112.7MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 e)
cost-diff	0	(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 e (sin.f64 v)))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 e (sin.f64 v))))
cost-diff	0	(*.f64 v e)
cost-diff	0	(/.f64 (.f64 v e) (.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e)) (-.f64 e #s(literal -1 binary64))))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) (*.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e)) (-.f64 e #s(literal -1 binary64)))) (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e))))
cost-diff	16	(.f64 (/.f64 (.f64 v e) (*.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e)) (-.f64 e #s(literal -1 binary64)))) (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e)))
cost-diff	0	(fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e)
cost-diff	0	(.f64 (fma.f64 (.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)
cost-diff	0	#s(approx (* (sin v) e) (.f64 (fma.f64 (.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (.f64 (fma.f64 (.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) e) v)
cost-diff	0	#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))
cost-diff	0	(.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
cost-diff	0	(-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))
cost-diff	0	(sin.f64 v)
cost-diff	0	(/.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))
cost-diff	12	(fma.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))) e (.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (.f64 (cos.f64 v) e)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	456
0	91	456
1	182	455
2	608	413
3	3005	413
0	8098	408

Stop Event

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

Calls

Call 1

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

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

localize155.0ms (2.8%)

Memory

-21.7MiB live, 176.7MiB allocated; 31ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.006191259768442017	(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
accuracy	0.02734375	(.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 e (sin.f64 v)))
accuracy	0.1328125	(*.f64 e (sin.f64 v))
accuracy	0.6371607489281721	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 e (sin.f64 v))))
accuracy	0.02734375	(.f64 (/.f64 (.f64 v e) (*.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e)) (-.f64 e #s(literal -1 binary64)))) (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e)))
accuracy	0.03515625	(*.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e)) (-.f64 e #s(literal -1 binary64)))
accuracy	0.037441259768442016	(/.f64 (.f64 v e) (.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e)) (-.f64 e #s(literal -1 binary64))))
accuracy	32.979855367099	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) (*.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e)) (-.f64 e #s(literal -1 binary64)))) (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e))))
accuracy	0.125	(fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e)
accuracy	1.3468215663525875	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (.f64 (fma.f64 (.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v)))
accuracy	5.948914795318394	(.f64 (.f64 v v) e)
accuracy	33.15604818973083	#s(approx (* (sin v) e) (.f64 (fma.f64 (.f64 (*.f64 v v) e) #s(literal -1/6 binary64) e) v))
accuracy	0.015625	(*.f64 (-.f64 #s(literal 1 binary64) e) v)
accuracy	0.13671875	(.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e)
accuracy	0.6371607489281721	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
accuracy	33.233827821647324	#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v))
accuracy	0.13671875	(.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))))
accuracy	0.13671875	(*.f64 (cos.f64 v) e)
accuracy	0.13708881837909415	(pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64))
accuracy	0.16015625	(.f64 (.f64 (.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (*.f64 (cos.f64 v) e))

Samples

120.0ms

256×

valid

Compiler

Compiled 380 to 48 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 39.0ms (41.7% of total)

ival-cos: 15.0ms (16% of total)

const: 10.0ms (10.7% of total)

ival-add: 8.0ms (8.6% of total)

ival-div: 7.0ms (7.5% of total)

ival-sin: 6.0ms (6.4% of total)

ival-sub: 4.0ms (4.3% of total)

ival-pow: 3.0ms (3.2% 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)

series53.0ms (1%)

Memory

10.5MiB live, 64.5MiB allocated; 16ms collecting garbage

Counts

27 → 161

Calls

Call 1

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

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)))) (* (pow (cos v) 2) (sin v))))))))
(sin v)
(+ (sin v) (* -1 (* (pow e 3) (* (pow (cos v) 3) (sin v)))))
(+ (sin v) (* (pow e 3) (- (* (pow e 3) (* (pow (cos v) 6) (sin v))) (* (pow (cos v) 3) (sin v)))))
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(+ (* -3/2 (* (pow e 3) (pow v 2))) (pow e 3))
(+ (* (pow v 2) (+ (* -3/2 (pow e 3)) (* 7/8 (* (pow e 3) (pow v 2))))) (pow e 3))
(+ (* (pow v 2) (+ (* -3/2 (pow e 3)) (* (pow v 2) (+ (* -61/240 (* (pow e 3) (pow v 2))) (* 7/8 (pow e 3)))))) (pow e 3))
(+ e (* -1/2 (* e (pow v 2))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))
(+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))
(/ (* e v) (+ 1 (pow e 3)))
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 (pow e 3)))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (/ e (+ 1 (pow e 3)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 (pow e 3)))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 (pow e 3)))) (+ (* -3/2 (/ (* (pow e 3) (- (* -1/6 (/ e (+ 1 (pow e 3)))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (+ 1 (pow e 3)))) (* 7/8 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (/ e (+ 1 (pow e 3)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 (pow e 3)))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 (pow e 3)))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 (pow e 3)))) (+ (* -3/2 (/ (* (pow e 3) (- (* 1/120 (/ e (+ 1 (pow e 3)))) (+ (* -3/2 (/ (* (pow e 3) (- (* -1/6 (/ e (+ 1 (pow e 3)))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (+ 1 (pow e 3)))) (* 7/8 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2)))))) (+ 1 (pow e 3)))) (+ (* -61/240 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))) (* 7/8 (/ (* (pow e 3) (- (* -1/6 (/ e (+ 1 (pow e 3)))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (+ 1 (pow e 3))))))))) (+ (* -3/2 (/ (* (pow e 3) (- (* -1/6 (/ e (+ 1 (pow e 3)))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (+ 1 (pow e 3)))) (* 7/8 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (/ e (+ 1 (pow e 3)))))
(+ (/ (* e (sin v)) (+ 1 (* (pow e 3) (pow (cos v) 3)))) (/ (* (pow e 2) (* (cos v) (* (sin v) (- (* e (cos v)) 1)))) (+ 1 (* (pow e 3) (pow (cos v) 3)))))
(/ (sin v) (+ 1 (* (pow e 3) (pow (cos v) 3))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (* (sin v) (+ 1 (* -1 (* e (cos v))))))
(* (sin v) (+ 1 (* -1 (* e (cos v)))))
(* -1/6 (* e (pow v 3)))
(* (pow v 3) (+ (* -1/6 e) (/ e (pow v 2))))
(* -1/6 (* e (pow v 2)))
(* (pow v 2) (+ (* -1/6 e) (/ e (pow v 2))))
(/ (* (pow e 2) (* (cos v) (* (sin v) (- (* e (cos v)) 1)))) (+ 1 (* (pow e 3) (pow (cos v) 3))))
(/ (* e (sin v)) (+ 1 (* (pow e 3) (pow (cos v) 3))))
(* -1 (* (pow v 3) (+ (* -1 (/ e (pow v 2))) (* 1/6 e))))

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	v	@	0	((+ (* (/ (sin v) (- (pow (* (cos v) e) 3) -1)) e) (* (* (* (sin v) (/ e (- (pow (* (cos v) e) 3) -1))) (+ (* (cos v) e) -1)) (* (cos v) e))) (/ (sin v) (- (pow (* (cos v) e) 3) -1)) (sin v) (- (pow (* (cos v) e) 3) -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* (- 1 e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (* (+ (* (* (* v v) e) -1/6) e) v) (+ (* (* (* v v) e) -1/6) e) (* (/ (* v e) (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1))) (/ (+ (* e e) 1) (+ -1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* v e) (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1))) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* e (sin v))) (+ (* (neg e) (cos v)) 1) (neg e) (* (* (* (sin v) (/ e (- (pow (* (cos v) e) 3) -1))) (+ (* (cos v) e) -1)) (* (cos v) e)) (pow (* (cos v) e) 3) (* (cos v) e) (* (sin v) (/ e (- (pow (* (cos v) e) 3) -1))) (* (* v v) e) (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1)) (* e (sin v)))
7.0ms	v	@	-inf	((+ (* (/ (sin v) (- (pow (* (cos v) e) 3) -1)) e) (* (* (* (sin v) (/ e (- (pow (* (cos v) e) 3) -1))) (+ (* (cos v) e) -1)) (* (cos v) e))) (/ (sin v) (- (pow (* (cos v) e) 3) -1)) (sin v) (- (pow (* (cos v) e) 3) -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* (- 1 e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (* (+ (* (* (* v v) e) -1/6) e) v) (+ (* (* (* v v) e) -1/6) e) (* (/ (* v e) (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1))) (/ (+ (* e e) 1) (+ -1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* v e) (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1))) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* e (sin v))) (+ (* (neg e) (cos v)) 1) (neg e) (* (* (* (sin v) (/ e (- (pow (* (cos v) e) 3) -1))) (+ (* (cos v) e) -1)) (* (cos v) e)) (pow (* (cos v) e) 3) (* (cos v) e) (* (sin v) (/ e (- (pow (* (cos v) e) 3) -1))) (* (* v v) e) (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1)) (* e (sin v)))
7.0ms	v	@	inf	((+ (* (/ (sin v) (- (pow (* (cos v) e) 3) -1)) e) (* (* (* (sin v) (/ e (- (pow (* (cos v) e) 3) -1))) (+ (* (cos v) e) -1)) (* (cos v) e))) (/ (sin v) (- (pow (* (cos v) e) 3) -1)) (sin v) (- (pow (* (cos v) e) 3) -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* (- 1 e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (* (+ (* (* (* v v) e) -1/6) e) v) (+ (* (* (* v v) e) -1/6) e) (* (/ (* v e) (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1))) (/ (+ (* e e) 1) (+ -1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* v e) (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1))) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* e (sin v))) (+ (* (neg e) (cos v)) 1) (neg e) (* (* (* (sin v) (/ e (- (pow (* (cos v) e) 3) -1))) (+ (* (cos v) e) -1)) (* (cos v) e)) (pow (* (cos v) e) 3) (* (cos v) e) (* (sin v) (/ e (- (pow (* (cos v) e) 3) -1))) (* (* v v) e) (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1)) (* e (sin v)))
6.0ms	e	@	-inf	((+ (* (/ (sin v) (- (pow (* (cos v) e) 3) -1)) e) (* (* (* (sin v) (/ e (- (pow (* (cos v) e) 3) -1))) (+ (* (cos v) e) -1)) (* (cos v) e))) (/ (sin v) (- (pow (* (cos v) e) 3) -1)) (sin v) (- (pow (* (cos v) e) 3) -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* (- 1 e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (* (+ (* (* (* v v) e) -1/6) e) v) (+ (* (* (* v v) e) -1/6) e) (* (/ (* v e) (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1))) (/ (+ (* e e) 1) (+ -1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* v e) (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1))) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* e (sin v))) (+ (* (neg e) (cos v)) 1) (neg e) (* (* (* (sin v) (/ e (- (pow (* (cos v) e) 3) -1))) (+ (* (cos v) e) -1)) (* (cos v) e)) (pow (* (cos v) e) 3) (* (cos v) e) (* (sin v) (/ e (- (pow (* (cos v) e) 3) -1))) (* (* v v) e) (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1)) (* e (sin v)))
5.0ms	e	@	inf	((+ (* (/ (sin v) (- (pow (* (cos v) e) 3) -1)) e) (* (* (* (sin v) (/ e (- (pow (* (cos v) e) 3) -1))) (+ (* (cos v) e) -1)) (* (cos v) e))) (/ (sin v) (- (pow (* (cos v) e) 3) -1)) (sin v) (- (pow (* (cos v) e) 3) -1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* (- 1 e) v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (sin v) e) (* (+ (* (* (* v v) e) -1/6) e) v) (+ (* (* (* v v) e) -1/6) e) (* (/ (* v e) (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1))) (/ (+ (* e e) 1) (+ -1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (* v e) (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1))) (* v e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* e (sin v))) (+ (* (neg e) (cos v)) 1) (neg e) (* (* (* (sin v) (/ e (- (pow (* (cos v) e) 3) -1))) (+ (* (cos v) e) -1)) (* (cos v) e)) (pow (* (cos v) e) 3) (* (cos v) e) (* (sin v) (/ e (- (pow (* (cos v) e) 3) -1))) (* (* v v) e) (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1)) (* e (sin v)))

simplify202.0ms (3.7%)

Memory

-2.7MiB live, 229.5MiB allocated; 44ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	816	5338
1	2903	4995
0	8936	4734

Stop Event

1×	iter limit
1×	node limit

Counts

161 → 159

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)))) (* (pow (cos v) 2) (sin v))))))))
(sin v)
(+ (sin v) (* -1 (* (pow e 3) (* (pow (cos v) 3) (sin v)))))
(+ (sin v) (* (pow e 3) (- (* (pow e 3) (* (pow (cos v) 6) (sin v))) (* (pow (cos v) 3) (sin v)))))
(+ (sin v) (* (pow e 3) (- (* (pow e 3) (- (* -1 (* (pow e 3) (* (pow (cos v) 9) (sin v)))) (* -1 (* (pow (cos v) 6) (sin v))))) (* (pow (cos v) 3) (sin v)))))
1
(+ 1 (* (pow e 3) (pow (cos v) 3)))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(+ (sin v) (* -1 (* e (* (cos v) (sin v)))))
v
(+ v (* -1 (* e v)))
(* e (* v (+ 1 (* -1/6 (pow v 2)))))
(* e (+ 1 (* -1/6 (pow v 2))))
(* e v)
(* e (+ v (* -1 (* e v))))
(* e (+ v (* e (- (* e v) v))))
(* e (+ v (* e (- (* e (- (* -1 (* e v)) (* -1 v))) v))))
(* -1 (* e v))
(* e (+ (* -1 v) (* e (- v (* -1 v)))))
(* e (+ (* -1 v) (* e (- (+ v (* -1 (* e v))) (* -1 v)))))
(* e (+ (* -1 v) (* e (- (+ v (* e (- (* -1 (* e (+ v (* -1 v)))) v))) (* -1 v)))))
(+ 1 (* -1 (* e (cos v))))
(* -1 e)
(* -1 (* (pow e 2) (* (cos v) (sin v))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (* e (* (pow (cos v) 2) (sin v)))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (* e (+ (* (pow e 2) (* (pow (cos v) 4) (sin v))) (* (pow (cos v) 2) (sin v))))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (* e (+ (* (pow e 2) (- (* -1 (* e (* (pow (cos v) 5) (sin v)))) (* -1 (* (pow (cos v) 4) (sin v))))) (* (pow (cos v) 2) (sin v))))))
(* (pow e 3) (pow (cos v) 3))
(* e (cos v))
(* e (+ (sin v) (* -1 (* (pow e 3) (* (pow (cos v) 3) (sin v))))))
(* e (+ (sin v) (* (pow e 3) (- (* (pow e 3) (* (pow (cos v) 6) (sin v))) (* (pow (cos v) 3) (sin v))))))
(* e (+ (sin v) (* (pow e 3) (- (* (pow e 3) (- (* -1 (* (pow e 3) (* (pow (cos v) 9) (sin v)))) (* -1 (* (pow (cos v) 6) (sin v))))) (* (pow (cos v) 3) (sin v))))))
(* e (pow v 2))
-1
(- (* -2 e) 1)
(- (* e (- (* -3 e) 2)) 1)
(- (* e (- (* e (- (* -4 e) 3)) 2)) 1)
(/ (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) (* (pow e 3) (pow (cos v) 3)))
(/ (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 6)))) (/ (sin v) (pow (cos v) 3))) (pow e 3))
(/ (- (+ (/ (sin v) (* (pow e 6) (pow (cos v) 9))) (/ (sin v) (pow (cos v) 3))) (/ (sin v) (* (pow e 3) (pow (cos v) 6)))) (pow e 3))
(/ (- (+ (* -1 (/ (sin v) (* (pow e 9) (pow (cos v) 12)))) (/ (sin v) (pow (cos v) 3))) (+ (* -1 (/ (sin v) (* (pow e 6) (pow (cos v) 9)))) (/ (sin v) (* (pow e 3) (pow (cos v) 6))))) (pow e 3))
(* (pow e 3) (+ (/ 1 (pow e 3)) (pow (cos v) 3)))
(- (+ (/ (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)))))
(* (pow e 2) (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* -1 (* e (* (cos v) (sin v))))
(* e (+ (* -1 (* (cos v) (sin v))) (/ (sin v) e)))
(* e (+ (* -1 v) (/ v e)))
(+ v (* -1 (/ v e)))
(- (+ v (/ v (pow e 2))) (/ v e))
(- (+ v (* -1 (/ v (pow e 3)))) (+ (* -1 (/ v (pow e 2))) (/ v e)))
(/ v e)
(/ (- (+ v (* -1 (/ v e))) (/ v e)) e)
(/ (- (+ v (+ (* -1 (/ v e)) (/ v (pow e 2)))) (/ v e)) e)
(/ (- (+ v (+ (* -1 (/ v e)) (* -1 (/ (+ v (* -1 v)) (pow e 3))))) (+ (* -1 (/ v (pow e 2))) (/ v e))) e)
(* -1 (* e (cos v)))
(* e (+ (* -1 (cos v)) (/ 1 e)))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))))
(- (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 4) (pow (cos v) 5))))) (/ (sin v) (* (pow e 3) (pow (cos v) 4))))
(/ (sin v) (* (pow e 2) (pow (cos v) 3)))
(/ (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 6)))) (/ (sin v) (pow (cos v) 3))) (pow e 2))
(/ (- (+ (/ (sin v) (* (pow e 6) (pow (cos v) 9))) (/ (sin v) (pow (cos v) 3))) (/ (sin v) (* (pow e 3) (pow (cos v) 6)))) (pow e 2))
(/ (- (+ (* -1 (/ (sin v) (* (pow e 9) (pow (cos v) 12)))) (/ (sin v) (pow (cos v) 3))) (+ (* -1 (/ (sin v) (* (pow e 6) (pow (cos v) 9)))) (/ (sin v) (* (pow e 3) (pow (cos v) 6))))) (pow e 2))
(pow e 2)
(* (pow e 2) (+ 1 (* 2 (/ 1 e))))
(* (pow e 2) (+ 1 (+ (* 2 (/ 1 e)) (/ 3 (pow e 2)))))
(* (pow e 2) (+ 1 (+ (* 2 (/ 1 e)) (+ (* 4 (/ 1 (pow e 3))) (/ 3 (pow e 2))))))
(+ (* -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 (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (/ (sin v) (* (pow e 3) (pow (cos v) 6)))) (pow e 3)))
(* -1 (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* -1 (/ (- (/ (sin v) (* (pow e 3) (pow (cos v) 9))) (/ (sin v) (pow (cos v) 6))) (pow e 3)))) (pow e 3)))
(* -1 (/ (+ (* -1 (/ (sin v) (pow (cos v) 3))) (* -1 (/ (- (* -1 (/ (- (/ (sin v) (* (pow e 3) (pow (cos v) 12))) (/ (sin v) (pow (cos v) 9))) (pow e 3))) (/ (sin v) (pow (cos v) 6))) (pow e 3)))) (pow e 3)))
(* -1 (* (pow e 3) (- (* -1 (pow (cos v) 3)) (/ 1 (pow e 3)))))
(* -1 (* e (+ (* -1 (/ (sin v) e)) (* (cos v) (sin v)))))
(* -1 (* e (+ v (* -1 (/ v e)))))
(* -1 (* e (* v (- (* 1/6 (pow v 2)) 1))))
(* -1 (* e (- (* 1/6 (pow v 2)) 1)))
(+ v (* -1 (/ (+ v (* -1 (/ v e))) e)))
(+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e)))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (* -1 v) v) e))) e))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (+ (* -1 v) (+ (* -1 (/ v e)) (* -1 (/ (- (* -1 v) v) e)))) v) e))) e))
(* -1 (/ (+ (* -1 v) (* -1 (/ (- (+ (* -1 v) (* -1 (/ (- (+ (* -2 (/ v e)) (* -1 (/ (- (* -1 v) v) e))) (+ (* -1 v) (* -1 (- (* -1 v) v)))) e))) v) e))) e))
(* -1 (* e (- (cos v) (/ 1 e))))
(+ (* -1 (/ (+ (/ (sin v) (* (pow e 2) (pow (cos v) 4))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 5)))) (/ (sin v) (pow (cos v) 2))) (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 4))))) e)) (/ (sin v) (cos v)))
(/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 9)))) (/ (sin v) (pow (cos v) 6))) (pow e 3))) (/ (sin v) (pow (cos v) 3))) (pow e 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 12)))) (/ (sin v) (pow (cos v) 9))) (pow e 3))) (/ (sin v) (pow (cos v) 6))) (pow e 3))) (/ (sin v) (pow (cos v) 3))) (pow e 2))
(* (pow e 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3 (* 4 (/ 1 e))) e)) 2) e))))
(* v (+ (/ e (+ 1 (pow e 3))) (/ (* (pow e 2) (- e 1)) (+ 1 (pow e 3)))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 (pow e 3)))) (/ (* (pow e 2) (+ (* -1/2 e) (+ (* -1/2 (- e 1)) (* -1/6 (- e 1))))) (+ 1 (pow e 3)))) (+ (* -3/2 (/ (* (pow e 5) (- e 1)) (pow (+ 1 (pow e 3)) 2))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2)))))) (+ (/ e (+ 1 (pow e 3))) (/ (* (pow e 2) (- e 1)) (+ 1 (pow e 3))))))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 (pow e 3)))) (+ (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 (pow e 3)))) (/ (* (pow e 2) (+ (* -1/2 (+ (* -1/2 e) (* -1/6 (- e 1)))) (+ (* 1/120 (- e 1)) (+ (* 1/24 e) (+ (* 1/24 (- e 1)) (* 1/12 e)))))) (+ 1 (pow e 3)))) (+ (* -3/2 (/ (* (pow e 3) (- (* -1/6 (/ e (+ 1 (pow e 3)))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2))))) (+ 1 (pow e 3)))) (+ (* -3/2 (/ (* (pow e 3) (- (/ (* (pow e 2) (+ (* -1/2 e) (+ (* -1/2 (- e 1)) (* -1/6 (- e 1))))) (+ 1 (pow e 3))) (* -3/2 (/ (* (pow e 5) (- e 1)) (pow (+ 1 (pow e 3)) 2))))) (+ 1 (pow e 3)))) (+ (* 7/8 (/ (* (pow e 5) (- e 1)) (pow (+ 1 (pow e 3)) 2))) (* 7/8 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2)))))))) (/ (* (pow e 2) (+ (* -1/2 e) (+ (* -1/2 (- e 1)) (* -1/6 (- e 1))))) (+ 1 (pow e 3))))) (+ (* -3/2 (/ (* (pow e 5) (- e 1)) (pow (+ 1 (pow e 3)) 2))) (* -3/2 (/ (pow e 4) (pow (+ 1 (pow e 3)) 2)))))) (+ (/ e (+ 1 (pow e 3))) (/ (* (pow e 2) (- e 1)) (+ 1 (pow e 3))))))
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rewrite96.0ms (1.7%)

Memory

7.9MiB live, 98.2MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	375
0	91	375
1	313	370
0	2417	363

Stop Event

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

Counts

27 → 317

Calls

Call 1

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

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

eval110.0ms (2%)

Memory: -51.1MiB live, 132.0MiB allocated; 46ms collecting garbage
Compiler: Compiled 25 280 to 2 453 computations (90.3% saved)

prune40.0ms (0.7%)

Memory

28.0MiB live, 75.4MiB allocated; 1ms collecting garbage

Pruning

39 alts after pruning (30 fresh and 9 done)

	Pruned	Kept	Total
New	517	18	535
Fresh	4	12	16
Picked	3	2	5
Done	0	7	7
Total	524	39	563

Accuracy

99.9%

Counts

563 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.7%	(fma.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))) e #s(approx ( (* (* (sin v) (/ e (- (pow (* (cos v) e) 3) -1))) (+ (* (cos v) e) -1)) (* (cos v) e)) (/.f64 (.f64 (.f64 (*.f64 (-.f64 e #s(literal 1 binary64)) v) e) e) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64)))))
✓	98.6%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (-.f64 (/.f64 (*.f64 e e) (+.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) e)))))
	98.6%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (-.f64 (.f64 (/.f64 (.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e e))) (-.f64 #s(literal -1 binary64) e)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) e)))))
✓	98.6%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (-.f64 e #s(literal -1 binary64))))
✓	99.7%	(.f64 (/.f64 (.f64 e (sin.f64 v)) (-.f64 (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 e (cos.f64 v)) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
	48.4%	(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (/.f64 v (-.f64 e #s(literal -1 binary64)))) e)
✓	48.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (-.f64 e #s(literal -1 binary64))))
	99.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (+.f64 (/.f64 #s(literal 1 binary64) e) (cos.f64 v))))
✓	98.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 e (sin.f64 v))))
	48.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) (fma.f64 e e #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) e)))
	48.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) (/.f64 (*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e))) (+.f64 #s(literal -1 binary64) e))) (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e))))
	48.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) #s(approx (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1)) (-.f64 (*.f64 #s(literal -2 binary64) e) #s(literal 1 binary64)))) (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e))))
	6.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) #s(approx (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (.f64 e e))) (/.f64 #s(literal 2 binary64) e)) (*.f64 e e)))) (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e))))
	24.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) #s(approx (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) e) #s(literal 3 binary64)) e) #s(literal -1 binary64) #s(literal -2 binary64)) e)) e) e))) (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e))))
	21.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) #s(approx (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 2 binary64) e) #s(literal 1 binary64)) e) e))) (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e))))
	5.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) #s(approx (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1)) (*.f64 e e))) (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e))))
	98.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (sin.f64 v)) e))
✓	97.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
	48.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ ( v e) (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1))) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) v) e (neg.f64 v)) e)) (/.f64 (fma.f64 e e #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) e))))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (- e -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
	48.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (- e -1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
	98.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (neg e) (cos v)) 1) (.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))) (.f64 e (sin.f64 v))))
	48.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) v) (+.f64 #s(literal 1 binary64) e))) e))
	47.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 e #s(literal 1/80 binary64) (fma.f64 #s(literal 1/5040 binary64) e #s(literal -1/5040 binary64))) v) v (fma.f64 e #s(literal -1/8 binary64) (fma.f64 #s(literal -1/120 binary64) e #s(literal 1/120 binary64)))) (.f64 v v) (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
	98.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) e)) e))
✓	48.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (*.f64 (-.f64 #s(literal 1 binary64) e) v)) e))
	47.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (- 1 e) v) (*.f64 (-.f64 v (/.f64 v e)) (neg.f64 e)))) e))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ (* v e) (* (/ (+ (* e e) 1) (+ -1 e)) (- e -1))) (/ (+ (* e e) 1) (+ -1 e))) (-.f64 v (/.f64 v e))))
✓	47.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (- e -1)) v) (*.f64 e v)))
	71.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
	47.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (.f64 (.f64 v e) (fma.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64)) v) v (-.f64 #s(literal 1 binary64) e)))))
	47.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 v v) e)) v (.f64 e v))))
	47.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (.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)))
	47.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 v v)) e e) v)))
	47.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) v) (*.f64 e v) e) v)))
	47.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (.f64 (fma.f64 v (.f64 (*.f64 e v) #s(literal -1/6 binary64)) e) v)))
	22.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (sin v) e) (.f64 #s(approx (+ ( (* (* v v) e) -1/6) e) (.f64 (.f64 (*.f64 v v) e) #s(literal -1/6 binary64))) v)))
	48.5%	#s(approx (+ (* (/ (sin v) (- (pow (* (cos v) e) 3) -1)) e) (* (* (* (sin v) (/ e (- (pow (* (cos v) e) 3) -1))) (+ (* (cos v) e) -1)) (* (cos v) e))) (.f64 (/.f64 (fma.f64 (-.f64 e #s(literal 1 binary64)) (.f64 e e) e) (+.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal 1 binary64))) v))

Compiler

Compiled 3 152 to 1 196 computations (62.1% saved)

regimes46.0ms (0.8%)

Memory

-38.6MiB live, 59.1MiB allocated; 7ms collecting garbage

Counts

55 → 1

Calls

Call 1

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

Outputs

(fma.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64))) e (*.f64 (*.f64 (*.f64 (sin.f64 v) (/.f64 e (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (cos.f64 v) e #s(literal -1 binary64))) (*.f64 (cos.f64 v) e)))

Calls

3 calls:

17.0ms	v
13.0ms	e
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)

regimes42.0ms (0.8%)

Memory

11.3MiB live, 57.9MiB allocated; 1ms collecting garbage

Counts

54 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
13.0ms	v
13.0ms	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 (0.7%)

Memory

2.1MiB live, 48.4MiB allocated; 2ms collecting garbage

Counts

44 → 1

Calls

Call 1

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

Outputs
#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))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
98.8%	1	`e`
98.8%	1	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes35.0ms (0.6%)

Memory

-2.9MiB live, 47.0MiB allocated; 3ms collecting garbage

Counts

42 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.6%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
98.6%	1	`e`
98.6%	1	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes30.0ms (0.5%)

Memory

-5.8MiB live, 40.9MiB allocated; 1ms collecting garbage

Counts

36 → 1

Calls

Call 1

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

Outputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (.f64 #s(approx (+ (* (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (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))))
9.0ms	v
9.0ms	e

Results

Accuracy	Segments	Branch
98.2%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
98.2%	1	`e`
98.2%	1	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes28.0ms (0.5%)

Memory

39.5MiB live, 39.5MiB allocated; 0ms collecting garbage

Counts

35 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	v
9.0ms	e
8.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
97.7%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
97.7%	1	`e`
97.7%	1	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes28.0ms (0.5%)

Memory

-8.0MiB live, 38.8MiB allocated; 2ms collecting garbage

Counts

34 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

9.0ms	v
8.0ms	e
8.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
48.5%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
48.5%	1	`e`
48.5%	1	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes24.0ms (0.4%)

Memory

-12.8MiB live, 34.2MiB allocated; 1ms collecting garbage

Counts

28 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
48.4%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
48.4%	1	`e`
48.4%	1	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes8.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
48.4%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
48.4%	1	`e`
48.4%	1	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes7.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
48.1%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
48.1%	1	`e`
48.1%	1	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes5.0ms (0.1%)

Memory

-43.0MiB live, 7.2MiB allocated; 3ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

simplify45.0ms (0.8%)

Memory

3.9MiB live, 50.2MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	257
1	99	255
2	139	255
3	256	255
4	788	255
5	3848	255

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations526.0ms (9.5%)

Memory

7.9MiB live, 386.5MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	414	1947
1	1499	1841
2	6056	1781
0	8556	1680
0	9	29
0	15	29
1	49	29
0	282	27
0	53	285
0	85	265
1	311	238
0	2559	227
0	29	159
0	46	154
1	139	154
0	743	154
0	195	841
1	643	829
2	2224	786
0	8453	733

Stop Event

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

Compiler

Compiled 257 to 71 computations (72.4% saved)

preprocess53.0ms (1%)

Memory: 37.5MiB live, 83.7MiB allocated; 2ms collecting garbage
Remove: (negabs v)
Compiler: Compiled 610 to 192 computations (68.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze36.0ms (0.7%)

sample1.7s (29.9%)

explain154.0ms (2.8%)

preprocess282.0ms (5.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify137.0ms (2.5%)

localize51.0ms (0.9%)

series12.0ms (0.2%)

simplify140.0ms (2.5%)

rewrite42.0ms (0.8%)

eval36.0ms (0.7%)

prune5.0ms (0.1%)

simplify103.0ms (1.9%)

localize79.0ms (1.4%)

series35.0ms (0.6%)

simplify227.0ms (4.1%)

rewrite48.0ms (0.9%)

eval62.0ms (1.1%)

prune83.0ms (1.5%)

simplify105.0ms (1.9%)

localize169.0ms (3%)

series60.0ms (1.1%)

simplify156.0ms (2.8%)

rewrite82.0ms (1.5%)

eval75.0ms (1.4%)

prune25.0ms (0.4%)

simplify103.0ms (1.9%)

localize155.0ms (2.8%)

series53.0ms (1%)

simplify202.0ms (3.7%)

rewrite96.0ms (1.7%)

eval110.0ms (2%)

prune40.0ms (0.7%)

regimes46.0ms (0.8%)

regimes42.0ms (0.8%)

regimes36.0ms (0.7%)

regimes35.0ms (0.6%)

regimes30.0ms (0.5%)

regimes28.0ms (0.5%)

regimes28.0ms (0.5%)

regimes24.0ms (0.4%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

simplify45.0ms (0.8%)

derivations526.0ms (9.5%)

preprocess53.0ms (1%)

end0.0ms (0%)

Profiling