Metrics for Trigonometry A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze7.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.6s (26.8%)

Memory

45.4MiB live, 2 242.2MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 950.0ms

ival-mult: 264.0ms (27.8% of total)

ival-sin: 242.0ms (25.5% of total)

ival-cos: 235.0ms (24.7% of total)

ival-<=: 85.0ms (8.9% of total)

ival-div: 53.0ms (5.6% of total)

ival-add: 46.0ms (4.8% of total)

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

exact: 11.0ms (1.2% of total)

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

Bogosity

explain128.0ms (2.1%)

Memory

8.6MiB live, 246.7MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

66.0ms

512×

valid

Compiler

Compiled 79 to 31 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-sin: 26.0ms (51.8% of total)

ival-cos: 11.0ms (21.9% of total)

ival-mult: 7.0ms (13.9% of total)

ival-div: 3.0ms (6% of total)

ival-add: 2.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess189.0ms (3.1%)

Memory

-2.3MiB live, 252.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs v)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify112.0ms (1.8%)

Memory

-6.1MiB live, 182.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize39.0ms (0.6%)

Memory

15.4MiB live, 102.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 v)
accuracy	0.0078125	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
accuracy	0.10546875	(*.f64 e (sin.f64 v))
accuracy	0.14453125	(*.f64 e (cos.f64 v))

Samples

32.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 7.0ms (32.5% of total)

ival-sin: 6.0ms (27.9% of total)

ival-cos: 5.0ms (23.2% of total)

ival-div: 1.0ms (4.6% of total)

ival-add: 1.0ms (4.6% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

6.1MiB live, 53.4MiB allocated

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
4.0ms	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	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	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))

simplify163.0ms (2.7%)

Memory

-3.6MiB live, 241.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 39

Calls

Call 1

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

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

rewrite169.0ms (2.8%)

Memory

-44.3MiB live, 245.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 337

Calls

Call 1

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

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

eval50.0ms (0.8%)

Memory: 2.5MiB live, 102.2MiB allocated
Compiler: Compiled 11 071 to 1 375 computations (87.6% saved)

prune9.0ms (0.2%)

Memory

28.3MiB live, 28.3MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	365	8	373
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	366	8	374

Accuracy

99.9%

Counts

374 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
▶	99.6%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	99.7%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (neg.f64 e) (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)))))
▶	49.4%	(/.f64 #s(approx (* e (sin v)) (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))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
	50.0%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 v v) e) e) v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
▶	50.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
▶	99.6%	#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))
	98.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))

Compiler

Compiled 322 to 238 computations (26.1% saved)

simplify226.0ms (3.7%)

Memory

5.2MiB live, 190.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	305
0	77	299
1	142	295
2	350	295
3	1304	292
4	4264	292
5	7864	292
0	8034	285

Stop Event

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

Calls

Call 1

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

localize146.0ms (2.4%)

Memory

-25.6MiB live, 164.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(*.f64 e (cos.f64 v))
accuracy	7.664901550399761	(.f64 e (fma.f64 (.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))
accuracy	12.312897946090738	(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))))
accuracy	32.08184574607502	#s(approx (* e (sin v)) (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)))
accuracy	0.0	(cos.f64 v)
accuracy	0.021816259768442016	(*.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))
accuracy	0.109375	(.f64 (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e)
accuracy	0.1624112688592838	#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	0.0078125	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
accuracy	0.10546875	(*.f64 e (sin.f64 v))
accuracy	0.158464227525138	#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
accuracy	0.0	(+.f64 #s(literal 1 binary64) e)
accuracy	0.00390625	(/.f64 e (+.f64 #s(literal 1 binary64) e))
accuracy	0.0078125	(*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v)
accuracy	31.965063238898715	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
accuracy	0.0	(sin.f64 v)
accuracy	0.0	(cos.f64 v)
accuracy	0.0078125	(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy	0.10546875	(*.f64 (sin.f64 v) e)

Samples

118.0ms

256×

valid

Compiler

Compiled 245 to 40 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 53.0ms (56% of total)

ival-add: 11.0ms (11.6% of total)

const: 9.0ms (9.5% of total)

ival-sin: 6.0ms (6.3% of total)

ival-cos: 5.0ms (5.3% of total)

ival-pow: 5.0ms (5.3% of total)

ival-div: 4.0ms (4.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.6%)

Memory

1.4MiB live, 45.4MiB allocated

Counts

23 → 102

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	e	@	-inf	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 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) (+ (* (pow v 3) (+ (* (pow v 4) (* -1/5040 e)) (* e (+ (* (* 1/120 v) v) -1/6)))) (* v e)) (+ (* (pow v 4) (* -1/5040 e)) (* e (+ (* (* 1/120 v) v) -1/6))) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (cos v) (* e (sin v)) (* e (+ (* (* 1/120 v) v) -1/6)) (* e (cos v)))
6.0ms	v	@	-inf	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 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) (+ (* (pow v 3) (+ (* (pow v 4) (* -1/5040 e)) (* e (+ (* (* 1/120 v) v) -1/6)))) (* v e)) (+ (* (pow v 4) (* -1/5040 e)) (* e (+ (* (* 1/120 v) v) -1/6))) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (cos v) (* e (sin v)) (* e (+ (* (* 1/120 v) v) -1/6)) (* e (cos v)))
6.0ms	e	@	0	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 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) (+ (* (pow v 3) (+ (* (pow v 4) (* -1/5040 e)) (* e (+ (* (* 1/120 v) v) -1/6)))) (* v e)) (+ (* (pow v 4) (* -1/5040 e)) (* e (+ (* (* 1/120 v) v) -1/6))) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (cos v) (* e (sin v)) (* e (+ (* (* 1/120 v) v) -1/6)) (* e (cos v)))
6.0ms	e	@	inf	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 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) (+ (* (pow v 3) (+ (* (pow v 4) (* -1/5040 e)) (* e (+ (* (* 1/120 v) v) -1/6)))) (* v e)) (+ (* (pow v 4) (* -1/5040 e)) (* e (+ (* (* 1/120 v) v) -1/6))) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (cos v) (* e (sin v)) (* e (+ (* (* 1/120 v) v) -1/6)) (* e (cos v)))
4.0ms	v	@	inf	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (+ 1 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) (+ (* (pow v 3) (+ (* (pow v 4) (* -1/5040 e)) (* e (+ (* (* 1/120 v) v) -1/6)))) (* v e)) (+ (* (pow v 4) (* -1/5040 e)) (* e (+ (* (* 1/120 v) v) -1/6))) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (cos v) (* e (sin v)) (* e (+ (* (* 1/120 v) v) -1/6)) (* e (cos v)))

simplify172.0ms (2.8%)

Memory

46.6MiB live, 227.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	411	1804
1	1490	1710
2	5846	1696
0	8555	1577

Stop Event

1×	iter limit
1×	node limit

Counts

102 → 100

Calls

Call 1

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

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

rewrite181.0ms (3%)

Memory

-15.8MiB live, 224.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	251
0	77	244
1	253	240
2	1602	237
0	8428	233

Stop Event

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

Counts

23 → 609

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 (cos.f64 v) e) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))
(*.f64 (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 e) (sin.f64 v)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64)))))
(/.f64 (.f64 (.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)) (*.f64 (cos.f64 v) e)))))
(/.f64 (.f64 (.f64 e (sin.f64 v)) (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))) (neg.f64 (-.f64 (.f64 (cos.f64 v) e) #s(literal 1 binary64)))))
(/.f64 (.f64 (.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 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))) (neg.f64 (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))))))
(/.f64 (.f64 (.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 e (sin.f64 v)) (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))) (fma.f64 (.f64 (cos.f64 v) e) (-.f64 (*.f64 (cos.f64 v) e) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 e (sin.f64 v)) (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))) (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 e (sin.f64 v)) (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 e (sin.f64 v)) (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 v) e) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 e (sin.f64 v)) (-.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 v) e) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 e (sin.f64 v)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (cos.f64 v) e) (-.f64 (.f64 (cos.f64 v) e) #s(literal 1 binary64))) #s(literal 2 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 v) e) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (cos.f64 v) e) (-.f64 (.f64 (cos.f64 v) e) #s(literal 1 binary64))))))
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(neg.f64 (/.f64 #s(approx (* e (sin v)) (fma.f64 (.f64 e (fma.f64 #s(literal -1/5040 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (pow.f64 v #s(literal 3 binary64)) (*.f64 e v))) (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 v) #s(literal 0 binary64)) (.f64 (sin.f64 v) #s(literal 0 binary64))) (.f64 (.f64 (cos.f64 v) #s(literal 1 binary64)) (.f64 (cos.f64 v) #s(literal 1 binary64)))) (-.f64 (.f64 (sin.f64 v) #s(literal 0 binary64)) (.f64 (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 v) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 v) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 v) #s(literal 0 binary64)) (.f64 (sin.f64 v) #s(literal 0 binary64)) (-.f64 (.f64 (.f64 (cos.f64 v) #s(literal 1 binary64)) (.f64 (cos.f64 v) #s(literal 1 binary64))) (.f64 (.f64 (sin.f64 v) #s(literal 0 binary64)) (.f64 (cos.f64 v) #s(literal 1 binary64))))))
(fma.f64 (neg.f64 (sin.f64 v)) #s(literal 0 binary64) (*.f64 (cos.f64 v) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 v) (*.f64 #s(literal 0 binary64) (sin.f64 v)))
(fma.f64 (sin.f64 v) #s(literal 0 binary64) (*.f64 (cos.f64 v) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 v)) (/.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 (neg.f64 v))))
(cos.f64 (neg.f64 (neg.f64 v)))
(cos.f64 (neg.f64 v))
(cos.f64 v)
(+.f64 (.f64 (neg.f64 (sin.f64 v)) #s(literal 0 binary64)) (.f64 (cos.f64 v) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 v)) (.f64 #s(literal 0 binary64) (sin.f64 v)))
(+.f64 (.f64 (sin.f64 v) #s(literal 0 binary64)) (.f64 (cos.f64 v) #s(literal 1 binary64)))
#s(approx (* e (sin v)) (fma.f64 (.f64 e (fma.f64 #s(literal -1/5040 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))) (pow.f64 v #s(literal 3 binary64)) (*.f64 e v)))
(.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)) e)
(.f64 e (fma.f64 (.f64 #s(literal 1/120 binary64) v) v #s(literal -1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) e) (.f64 #s(literal 1/6 binary64) e))) (fma.f64 (.f64 e (.f64 #s(literal 1/120 binary64) v)) v (*.f64 #s(literal 1/6 binary64) e)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 e) #s(literal -1/6 binary64)) (.f64 (neg.f64 e) #s(literal -1/6 binary64)))) (fma.f64 (.f64 e (.f64 #s(literal 1/120 binary64) v)) v (*.f64 (neg.f64 e) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) e) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) e) (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) e) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) e) (.f64 #s(literal 1/6 binary64) e) (.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) (.f64 #s(literal 1/6 binary64) e)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 e) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 e) #s(literal -1/6 binary64)) (.f64 (neg.f64 e) #s(literal -1/6 binary64)) (.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) (.f64 (neg.f64 e) #s(literal -1/6 binary64))))))
(/.f64 (fma.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) e) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) e) (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1/36 binary64)) e)) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) e)) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (.f64 e (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 e (fma.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)))) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) e) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) (.f64 #s(literal -1/6 binary64) e))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 e #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) e) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) (*.f64 #s(literal -1/6 binary64) e))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1/36 binary64)) e) (-.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) #s(literal -1/6 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) e) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) #s(literal -1/6 binary64)))))
(/.f64 (.f64 e (-.f64 (.f64 #s(literal 1/14400 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1/36 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) #s(literal -1/6 binary64)))
(/.f64 (.f64 e (fma.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 v #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) e) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) (.f64 #s(literal -1/6 binary64) e)))
(/.f64 (fma.f64 (pow.f64 (.f64 e #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)) (.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1/216 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) e) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) (*.f64 #s(literal -1/6 binary64) e)))))
(fma.f64 (.f64 e (.f64 #s(literal 1/120 binary64) v)) v (*.f64 #s(literal -1/6 binary64) e))
(fma.f64 (.f64 e #s(literal 1/120 binary64)) (.f64 v v) (*.f64 #s(literal -1/6 binary64) e))
(fma.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e (*.f64 #s(literal -1/6 binary64) e))
(fma.f64 (.f64 e v) (.f64 #s(literal 1/120 binary64) v) (*.f64 #s(literal -1/6 binary64) e))
(fma.f64 #s(literal -1/6 binary64) e (.f64 (.f64 (*.f64 #s(literal 1/120 binary64) v) v) e))
(fma.f64 (.f64 #s(literal 1/120 binary64) v) (.f64 e v) (*.f64 #s(literal -1/6 binary64) e))
(fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 v v) e) (*.f64 #s(literal -1/6 binary64) e))
(fma.f64 e (.f64 (.f64 #s(literal 1/120 binary64) v) v) (*.f64 #s(literal -1/6 binary64) e))
(fma.f64 e #s(literal -1/6 binary64) (.f64 (.f64 (*.f64 #s(literal 1/120 binary64) v) v) e))
(fma.f64 v (.f64 (.f64 #s(literal 1/120 binary64) v) e) (*.f64 #s(literal -1/6 binary64) e))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) (.f64 #s(literal -1/6 binary64) e))) (/.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) e) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) (.f64 #s(literal -1/6 binary64) e))))
(-.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) (.f64 #s(literal 1/6 binary64) e))
(-.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) (.f64 (neg.f64 e) #s(literal -1/6 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) e) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) (.f64 #s(literal -1/6 binary64) e))))) (/.f64 (.f64 (pow.f64 e #s(literal 3 binary64)) #s(literal -1/216 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) e) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) (.f64 #s(literal -1/6 binary64) e))))))
(+.f64 (.f64 #s(literal -1/6 binary64) e) (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e))
(+.f64 (.f64 (.f64 (.f64 #s(literal 1/120 binary64) v) v) e) (.f64 #s(literal -1/6 binary64) e))
(.f64 (.f64 #s(literal 1 binary64) (cos.f64 v)) e)
(.f64 (.f64 (cos.f64 v) e) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 v) e))
(*.f64 (cos.f64 v) e)
(.f64 e (.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.f64 e (cos.f64 v))

eval88.0ms (1.4%)

Memory: -10.6MiB live, 129.2MiB allocated
Compiler: Compiled 29 162 to 2 908 computations (90% saved)

prune20.0ms (0.3%)

Memory

-4.1MiB live, 42.8MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	625	14	639
Fresh	3	0	3
Picked	4	1	5
Done	0	0	0
Total	632	15	647

Accuracy

99.9%

Counts

647 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ ( (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))))
▶	99.6%	#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (.f64 (.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))
	98.7%	#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e))
	70.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (.f64 (.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (sin.f64 v)) (.f64 #s(literal 1 binary64) (sin.f64 v))) (.f64 (.f64 (.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))))) e))
✓	50.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
	99.5%	#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))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
	49.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
	49.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.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)) e))
▶	49.7%	#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))
▶	50.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
▶	49.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
	69.6%	#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))))
	49.8%	#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)))))

Compiler

Compiled 937 to 582 computations (37.9% saved)

simplify121.0ms (2%)

Memory

12.5MiB live, 108.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	361
0	83	361
1	142	347
2	291	347
3	872	347
4	2946	347
5	6986	347
0	8261	334

Stop Event

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

Calls

Call 1

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

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

localize109.0ms (1.8%)

Memory

26.6MiB live, 118.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 e)
accuracy	0.0	(cos.f64 v)
accuracy	0.10546875	(.f64 (.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
accuracy	0.1624112688592838	#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (.f64 (.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))
accuracy	0.109375	(.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	0.1624112688592838	#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	0.3203125	(*.f64 (fma.f64 #s(literal 1/2 binary64) e (fma.f64 #s(literal 1/6 binary64) e #s(literal -1/6 binary64))) v)
accuracy	32.01520721202276	#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 #s(literal 1 binary64) e)
accuracy	0.01171875	(/.f64 v (+.f64 #s(literal 1 binary64) e))
accuracy	0.01171875	(*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e)))
accuracy	31.965063238898715	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
accuracy	0.0	(*.f64 e v)
accuracy	0.7605967623200957	#s(approx (* (/ e (+ 1 e)) v) (*.f64 e v))
accuracy	31.965063238898715	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
accuracy	0.0	#s(approx (+ (* (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))
accuracy	0.0078125	(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ ( (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))))
accuracy	0.10546875	(*.f64 (sin.f64 v) e)
accuracy	0.140625	(*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))

Samples

85.0ms

256×

valid

Compiler

Compiled 258 to 44 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 27.0ms (41.1% of total)

ival-add: 8.0ms (12.2% of total)

ival-div: 7.0ms (10.7% of total)

ival-sin: 6.0ms (9.1% of total)

ival-cos: 6.0ms (9.1% of total)

const: 6.0ms (9.1% of total)

ival-sub: 2.0ms (3% of total)

ival-neg: 2.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.4%)

Memory

9.7MiB live, 49.7MiB allocated

Counts

23 → 104

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	e	@	0	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (+ (* 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)) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (* e (+ (* (neg e) (cos v)) 1)) (sin v)) (* e (+ (* (neg e) (cos v)) 1)) (+ (* (neg e) (cos v)) 1) (* (- (neg (cos v)) (/ 1 e)) (neg e)) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (cos v) (neg e))
4.0ms	v	@	-inf	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (+ (* 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)) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (* e (+ (* (neg e) (cos v)) 1)) (sin v)) (* e (+ (* (neg e) (cos v)) 1)) (+ (* (neg e) (cos v)) 1) (* (- (neg (cos v)) (/ 1 e)) (neg e)) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (cos v) (neg e))
3.0ms	v	@	inf	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (+ (* 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)) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (* e (+ (* (neg e) (cos v)) 1)) (sin v)) (* e (+ (* (neg e) (cos v)) 1)) (+ (* (neg e) (cos v)) 1) (* (- (neg (cos v)) (/ 1 e)) (neg e)) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (cos v) (neg e))
3.0ms	e	@	-inf	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (+ (* 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)) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (* e (+ (* (neg e) (cos v)) 1)) (sin v)) (* e (+ (* (neg e) (cos v)) 1)) (+ (* (neg e) (cos v)) 1) (* (- (neg (cos v)) (/ 1 e)) (neg e)) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (cos v) (neg e))
3.0ms	v	@	0	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (* e v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (/ v (+ 1 e))) (/ v (+ 1 e)) (+ 1 e) (+ (* 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)) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (* e (+ (* (neg e) (cos v)) 1)) (sin v)) (* e (+ (* (neg e) (cos v)) 1)) (+ (* (neg e) (cos v)) 1) (* (- (neg (cos v)) (/ 1 e)) (neg e)) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (cos v) (neg e))

simplify196.0ms (3.2%)

Memory

-2.1MiB live, 142.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	394	1704
1	1436	1569
2	5582	1543
0	8236	1448

Stop Event

1×	iter limit
1×	node limit

Counts

104 → 102

Calls

Call 1

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

rewrite207.0ms (3.4%)

Memory

16.5MiB live, 204.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	288
0	83	288
1	260	278
2	1673	278
0	8646	260

Stop Event

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

Counts

23 → 302

Calls

Call 1

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

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

eval83.0ms (1.4%)

Memory: -14.9MiB live, 136.7MiB allocated
Compiler: Compiled 17 070 to 2 367 computations (86.1% saved)

prune22.0ms (0.4%)

Memory

3.7MiB live, 48.7MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	408	8	416
Fresh	4	5	9
Picked	1	4	5
Done	0	1	1
Total	413	18	431

Accuracy

99.9%

Counts

431 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ ( (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))))
▶	61.9%	(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ ( (cos v) e) 1) (.f64 (-.f64 (neg.f64 #s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (.f64 v v) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))))
✓	99.6%	#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (.f64 (.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))
▶	99.5%	#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (.f64 (.f64 e #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))) (sin.f64 v)))
	98.7%	#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e))
	70.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (.f64 (.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (sin.f64 v)) (.f64 #s(literal 1 binary64) (sin.f64 v))) (.f64 (.f64 (.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))))) e))
✓	50.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ 1 e)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
▶	49.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
	49.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.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 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 2/3 binary64) e))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
▶	49.7%	#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))
▶	49.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 #s(approx ( (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)) v)) e))
✓	50.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
	2.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e #s(approx (/ v (+ 1 e)) (/.f64 (-.f64 v (/.f64 v e)) e))))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (-.f64 v (/.f64 v e))))
✓	49.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))
	69.6%	#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 (sin.f64 v) (cos.f64 v))) (*.f64 e e))))
	49.8%	#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 v (*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e)))))

Compiler

Compiled 1 068 to 665 computations (37.7% saved)

simplify132.0ms (2.2%)

Memory

0.8MiB live, 142.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	730
0	106	730
1	182	668
2	352	660
3	776	660
4	1721	646
5	3230	646
6	6283	646
0	8404	620

Stop Event

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

Calls

Call 1

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

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

localize178.0ms (2.9%)

Memory

-44.3MiB live, 279.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ ( (cos v) e) 1) (.f64 (-.f64 (neg.f64 #s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (.f64 v v) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))))
accuracy	0.10546875	(*.f64 (sin.f64 v) e)
accuracy	0.140625	(.f64 (-.f64 (neg.f64 #s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (.f64 v v) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))
accuracy	31.951597208053784	#s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy	0.26171875	(fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (*.f64 #s(literal 2/3 binary64) v))
accuracy	0.3203125	(*.f64 #s(literal 2/3 binary64) v)
accuracy	15.487324187380377	(.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (.f64 #s(literal 2/3 binary64) v)) e)
accuracy	32.01520721202276	#s(approx (* (+ (* (neg e) (cos v)) 1) (sin v)) (.f64 (fma.f64 #s(approx ( (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (.f64 (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (.f64 #s(literal 2/3 binary64) v)) e)) v (-.f64 #s(literal 1 binary64) e)) v))
accuracy	0.1624112688592838	#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))
accuracy	0.3203125	(.f64 #s(approx (+ ( 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v)
accuracy	0.8301571485337222	#s(approx (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64))
accuracy	32.01520721202276	#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))
accuracy	0.0	(*.f64 (-.f64 #s(literal 1 binary64) e) e)
accuracy	0.0078125	(.f64 #s(approx (/ e (+ 1 e)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
accuracy	0.15998136137512292	#s(approx (/ e (+ 1 e)) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
accuracy	31.965063238898715	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
accuracy	0.0	#s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))
accuracy	0.10546875	(.f64 (.f64 e #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))) (sin.f64 v))
accuracy	0.140625	(*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))
accuracy	0.1624112688592838	#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (.f64 (.f64 e #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (-.f64 (cos.f64 v) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e)))) (sin.f64 v)))

Samples

146.0ms

256×

valid

Compiler

Compiled 376 to 54 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 47.0ms (48.2% of total)

ival-add: 16.0ms (16.4% of total)

const: 9.0ms (9.2% of total)

ival-div: 8.0ms (8.2% of total)

ival-sin: 6.0ms (6.1% of total)

ival-cos: 5.0ms (5.1% of total)

ival-sub: 3.0ms (3.1% of total)

ival-neg: 2.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.6%)

Memory

2.6MiB live, 52.2MiB allocated

Counts

27 → 123

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	e	@	0	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (* e (+ (* (neg e) (cos v)) 1)) (sin v)) (* e (+ (* (neg e) (cos v)) 1)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (* (- 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e)) v) (* (+ (* (/ v e) -1/6) (* 2/3 v)) e) (+ (* (/ v e) -1/6) (* 2/3 v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (* (- (cos v) (/ 1 e)) (neg e)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* 2/3 v) (cos v) (* (- (neg (cos v)) (/ 1 e)) (neg e)))
7.0ms	e	@	inf	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (* e (+ (* (neg e) (cos v)) 1)) (sin v)) (* e (+ (* (neg e) (cos v)) 1)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (* (- 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e)) v) (* (+ (* (/ v e) -1/6) (* 2/3 v)) e) (+ (* (/ v e) -1/6) (* 2/3 v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (* (- (cos v) (/ 1 e)) (neg e)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* 2/3 v) (cos v) (* (- (neg (cos v)) (/ 1 e)) (neg e)))
5.0ms	v	@	-inf	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (* e (+ (* (neg e) (cos v)) 1)) (sin v)) (* e (+ (* (neg e) (cos v)) 1)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (* (- 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e)) v) (* (+ (* (/ v e) -1/6) (* 2/3 v)) e) (+ (* (/ v e) -1/6) (* 2/3 v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (* (- (cos v) (/ 1 e)) (neg e)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* 2/3 v) (cos v) (* (- (neg (cos v)) (/ 1 e)) (neg e)))
5.0ms	v	@	inf	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (* e (+ (* (neg e) (cos v)) 1)) (sin v)) (* e (+ (* (neg e) (cos v)) 1)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (* (- 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e)) v) (* (+ (* (/ v e) -1/6) (* 2/3 v)) e) (+ (* (/ v e) -1/6) (* 2/3 v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (* (- (cos v) (/ 1 e)) (neg e)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* 2/3 v) (cos v) (* (- (neg (cos v)) (/ 1 e)) (neg e)))
4.0ms	e	@	-inf	((/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (* e (+ (* (neg e) (cos v)) 1)) (sin v)) (* e (+ (* (neg e) (cos v)) 1)) (+ (* (neg e) (cos v)) 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ 1 e)) v) (/ e (+ 1 e)) (* (- 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e)) v) (* (+ (* (/ v e) -1/6) (* 2/3 v)) e) (+ (* (/ v e) -1/6) (* 2/3 v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (* (+ (* (neg e) (cos v)) 1) (sin v)) e) (/ (* (sin v) e) (+ (* (cos v) e) 1)) (* (sin v) e) (sin v) (+ (* (cos v) e) 1) (* (- (cos v) (/ 1 e)) (neg e)) (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) (* (+ (* (neg e) (cos v)) 1) (sin v)) (* 2/3 v) (cos v) (* (- (neg (cos v)) (/ 1 e)) (neg e)))

simplify172.0ms (2.8%)

Memory

11.3MiB live, 200.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	450	1981
1	1609	1831
2	6293	1816
0	8130	1709

Stop Event

1×	iter limit
1×	node limit

Counts

123 → 121

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

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

rewrite230.0ms (3.8%)

Memory

-26.8MiB live, 166.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	550
0	106	550
1	344	504
2	2287	504
0	9627	479

Stop Event

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

Counts

27 → 165

Calls

Call 1

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

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

eval76.0ms (1.3%)

Memory: 4.9MiB live, 51.0MiB allocated
Compiler: Compiled 14 444 to 1 772 computations (87.7% saved)

prune78.0ms (1.3%)

Memory

-10.8MiB live, 36.6MiB allocated

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	271	9	280
Fresh	5	3	8
Picked	2	3	5
Done	0	5	5
Total	278	20	298

Accuracy

99.9%

Counts

298 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ ( (cos v) e) 1) (*.f64 (-.f64 (neg.f64 (cos.f64 v)) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))))
✓	61.9%	(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ ( (cos v) e) 1) (.f64 (-.f64 (neg.f64 #s(approx (cos v) (fma.f64 #s(literal -1/2 binary64) (.f64 v v) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))))
	99.5%	#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (.f64 (.f64 (sin.f64 v) e) #s(approx (+ (* (neg e) (cos v)) 1) (*.f64 (neg.f64 e) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))))
✓	99.6%	#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (.f64 (.f64 e (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)))
	99.2%	#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (.f64 (.f64 e #s(approx (+ (* (neg e) (cos v)) 1) #s(approx (* (- (cos v) (/ 1 e)) (neg e)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e)) (neg.f64 e))))) (sin.f64 v)))
	98.7%	#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) (*.f64 (sin.f64 v) e))
	69.6%	#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(approx (* (* e (+ (* (neg e) (cos v)) 1)) (sin v)) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
	49.8%	#s(approx (/ (* (sin v) e) (+ (* (cos v) e) 1)) #s(approx (* (* e (+ (* (neg e) (cos v)) 1)) (sin v)) (.f64 (.f64 e v) (fma.f64 v (*.f64 v (fma.f64 #s(literal 2/3 binary64) e #s(literal -1/6 binary64))) (-.f64 #s(literal 1 binary64) e)))))
	70.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (.f64 (.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (sin.f64 v)) (.f64 #s(literal 1 binary64) (sin.f64 v))) (.f64 (.f64 (.f64 (neg.f64 e) (cos.f64 v)) (sin.f64 v)) (*.f64 #s(literal 1 binary64) (sin.f64 v)))))) e))
✓	50.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) v))
✓	49.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
	49.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) #s(approx ( (- 1 e) e) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) v))
	27.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ 1 e)) #s(approx ( (- 1 e) e) (*.f64 (neg.f64 e) e))) v))
	49.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (fma.f64 (-.f64 #s(literal 1 binary64) e) v (.f64 (.f64 (.f64 #s(approx (+ ( 1/2 e) (+ (* 1/6 e) -1/6)) #s(literal -1/6 binary64)) v) v) v))) e))
	49.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) (.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 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 2/3 binary64) e))) (.f64 v v) (-.f64 #s(literal 1 binary64) e)) v)) e))
✓	49.7%	#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))
	49.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e)) v) (.f64 (-.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) e) #s(literal 1/6 binary64)) (*.f64 v v) #s(literal 1 binary64)) e) v))) e))
	25.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx ( (+ (* (neg e) (cos v)) 1) (sin v)) #s(approx (* (+ (* (* (+ (* 1/2 e) (+ (* 1/6 e) -1/6)) v) v) (- 1 e)) v) (.f64 (.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 v v)) #s(literal 1 binary64)) v) e))) e))
✓	50.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (/.f64 v (+.f64 #s(literal 1 binary64) e))))
✓	49.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ 1 e)) v) (*.f64 e v)))

Compiler

Compiled 2 058 to 726 computations (64.7% saved)

regimes31.0ms (0.5%)

Memory

35.8MiB live, 35.8MiB allocated

Counts

40 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	v
10.0ms	e
9.0ms	(/.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)

regimes48.0ms (0.8%)

Memory

-19.8MiB live, 27.1MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

3 calls:

32.0ms	v
7.0ms	e
7.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
99.6%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
99.6%	1	`e`
99.6%	1	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes44.0ms (0.7%)

Memory

-27.1MiB live, 26.4MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
99.6%	1	`e`
99.6%	1	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes19.0ms (0.3%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
98.7%	1	`e`
98.7%	1	`v`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes17.0ms (0.3%)

Memory

22.0MiB live, 22.0MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
50.1%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
50.1%	1	`v`
50.1%	1	`e`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes25.0ms (0.4%)

Memory

-37.2MiB live, 10.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
2.0ms	v
2.0ms	e

Results

Accuracy	Segments	Branch
50.0%	1	`e`
50.0%	1	`v`
50.0%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
49.8%	1	`v`
49.8%	1	`e`
49.8%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Accuracy

Total -15.1b remaining (-46.3%)

Threshold costs -15.1b (-46.3%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

simplify70.0ms (1.2%)

Memory

-12.4MiB live, 34.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	150
1	74	150
2	95	150
3	131	150
4	243	150
5	546	150
6	1272	150
7	2789	150
8	7024	150

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness690.0ms (11.4%)

Memory

5.9MiB live, 430.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	15	29
1	49	29
2	256	29
3	2195	29
0	9771	27
0	195	841
1	643	829
2	2192	788
3	7356	761
0	8175	705
0	411	1804
1	1490	1710
2	5846	1696
0	8555	1577
0	44	251
0	77	244
1	253	240
2	1602	237
0	8428	233

Stop Event

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

Compiler

Compiled 273 to 125 computations (54.2% saved)

preprocess77.0ms (1.3%)

Memory: -0.7MiB live, 139.3MiB allocated
Remove: (negabs v)
Compiler: Compiled 442 to 202 computations (54.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze7.0ms (0.1%)

sample1.6s (26.8%)

explain128.0ms (2.1%)

preprocess189.0ms (3.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify112.0ms (1.8%)

localize39.0ms (0.6%)

series13.0ms (0.2%)

simplify163.0ms (2.7%)

rewrite169.0ms (2.8%)

eval50.0ms (0.8%)

prune9.0ms (0.2%)

simplify226.0ms (3.7%)

localize146.0ms (2.4%)

series34.0ms (0.6%)

simplify172.0ms (2.8%)

rewrite181.0ms (3%)

eval88.0ms (1.4%)

prune20.0ms (0.3%)

simplify121.0ms (2%)

localize109.0ms (1.8%)

series25.0ms (0.4%)

simplify196.0ms (3.2%)

rewrite207.0ms (3.4%)

eval83.0ms (1.4%)

prune22.0ms (0.4%)

simplify132.0ms (2.2%)

localize178.0ms (2.9%)

series36.0ms (0.6%)

simplify172.0ms (2.8%)

rewrite230.0ms (3.8%)

eval76.0ms (1.3%)

prune78.0ms (1.3%)

regimes31.0ms (0.5%)

regimes48.0ms (0.8%)

regimes44.0ms (0.7%)

regimes19.0ms (0.3%)

regimes17.0ms (0.3%)

regimes25.0ms (0.4%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

simplify70.0ms (1.2%)

soundness690.0ms (11.4%)

preprocess77.0ms (1.3%)

end0.0ms (0%)

Profiling