Metrics for Trigonometry A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze9.0ms (0.1%)

Memory

-24.3MiB live, 15.0MiB 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)

sample1.7s (26.4%)

Memory

1.7MiB live, 3 057.7MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-sin: 637.0ms (54.2% of total)

ival-cos: 215.0ms (18.3% of total)

ival-mult: 134.0ms (11.4% of total)

ival-div: 62.0ms (5.3% of total)

ival-<=: 51.0ms (4.3% of total)

ival-add: 45.0ms (3.8% of total)

ival-and: 13.0ms (1.1% of total)

exact: 13.0ms (1.1% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain144.0ms (2.2%)

Memory

12.0MiB live, 388.6MiB 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

68.0ms

512×

valid

Compiler

Compiled 79 to 31 computations (60.8% saved)

Precisions

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

ival-sin: 20.0ms (39.2% of total)

ival-cos: 15.0ms (29.4% of total)

ival-mult: 8.0ms (15.7% of total)

ival-div: 5.0ms (9.8% of total)

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

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

exact: 0.0ms (0% of total)

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

preprocess77.0ms (1.2%)

Memory

14.7MiB live, 54.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(*.f64 (/.f64 e (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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB 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)

simplify3.0ms (0%)

Memory

7.8MiB live, 7.8MiB 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	128	(+.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	22	32
2	25	32
3	26	32
0	26	30

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize38.0ms (0.6%)

Memory

-18.1MiB live, 97.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
accuracy	0.01171875	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
accuracy	0.109375	(*.f64 e (sin.f64 v))
accuracy	0.1171875	(*.f64 e (cos.f64 v))

Samples

30.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sin: 8.0ms (37.4% of total)

ival-cos: 6.0ms (28.1% of total)

ival-div: 3.0ms (14% of total)

ival-mult: 3.0ms (14% of total)

ival-add: 1.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.5%)

Memory

-3.7MiB live, 45.3MiB allocated

Counts

5 → 108

Calls

Call 1

Inputs
#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())
#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())

Outputs
#s(alt (+ 1 e) (taylor 0 v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* -1/2 (* e (pow v 2))))) (taylor 0 v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) (taylor 0 v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) (taylor 0 v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e v) (taylor 0 v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ e (* -1/6 (* e (pow v 2))))) (taylor 0 v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* 1/120 (* e (pow v 2))))))) (taylor 0 v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ e (* (pow v 2) (+ (* -1/6 e) (* (pow v 2) (+ (* -1/5040 (* e (pow v 2))) (* 1/120 e))))))) (taylor 0 v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt v (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* -1/6 (pow v 2)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt e (taylor 0 v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ e (* -1/2 (* e (pow v 2)))) (taylor 0 v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))) (taylor 0 v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))) (taylor 0 v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor inf v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor inf v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor inf v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor inf v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor inf v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor -inf v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor -inf v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor -inf v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor -inf v) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (/ (* e (sin v)) (+ 1 (* e (cos v)))) (taylor -inf v) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf v) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor -inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor -inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor -inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (sin v) (taylor -inf v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor 0 e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor 0 e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* e (cos v))) (taylor 0 e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor 0 e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor 0 e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor 0 e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor 0 e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (cos v) (/ 1 e))) (taylor inf e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (cos v) (/ 1 e))) (taylor inf e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (cos v) (/ 1 e))) (taylor inf e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ (sin v) (cos v)) (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2)))) (taylor inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (sin v) (* (pow e 3) (pow (cos v) 4)))) (/ (sin v) (cos v))) (+ (* -1 (/ (sin v) (* (pow e 2) (pow (cos v) 3)))) (/ (sin v) (* e (pow (cos v) 2))))) (taylor inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor inf e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (patch (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (patch (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	e	@	-inf	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)))
3.0ms	e	@	0	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (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)))
2.0ms	e	@	inf	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (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)))

simplify181.0ms (2.8%)

Memory

-5.0MiB live, 342.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	1153
1	554	1138
2	1582	1106
3	5266	1024
0	8387	956

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 106

Calls

Call 1

Inputs
(+ 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 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(sin v)
(sin v)
(sin v)
(sin v)
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(/ (* e (sin v)) (+ 1 (* e (cos v))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(sin v)
(sin v)
(sin v)
(sin v)
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
1
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(+ 1 (* e (cos v)))
(* e (sin v))
(* e (+ (sin v) (* -1 (* e (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (* (pow (cos v) 2) (sin v))) (* (cos v) (sin v))))))
(* e (+ (sin v) (* e (- (* e (- (* -1 (* e (* (pow (cos v) 3) (sin v)))) (* -1 (* (pow (cos v) 2) (sin v))))) (* (cos v) (sin v))))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (+ (cos v) (/ 1 e)))
(* e (+ (cos v) (/ 1 e)))
(* 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)))))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(/ (sin v) (cos v))
(+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v)))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (sin v))
(* e (cos v))
(* e (cos v))
(* e (cos v))
(* e (cos v))

Outputs
(+ 1 e)
(+.f64 e #s(literal 1 binary64))
(+ 1 (+ e (* -1/2 (* e (pow v 2)))))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal -1/2 binary64) #s(literal 1 binary64)) e #s(literal 1 binary64))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2)))))))
(fma.f64 (.f64 e (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64))) (*.f64 v v) (+.f64 e #s(literal 1 binary64)))
(+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e)))))))
(fma.f64 (.f64 e (fma.f64 #s(literal -1/720 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)))) (*.f64 v v) (+.f64 e #s(literal 1 binary64)))
(/ (* e v) (+ 1 e))
(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
(* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64))) #s(literal 1/120 binary64)) (.f64 (.f64 #s(literal -1/24 binary64) e) (/.f64 e (pow.f64 (+.f64 e #s(literal 1 binary64)) #s(literal 2 binary64))))) (.f64 v v) (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 e #s(literal 1 binary64))) #s(literal -1/6 binary64)))) (*.f64 v v) (/.f64 e (+.f64 e #s(literal 1 binary64)))) v)
(* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e))))
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(* e (cos v))
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(* e (cos v))
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(* e (cos v))
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rewrite193.0ms (2.9%)

Memory

9.7MiB live, 365.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	15	27
1	42	27
2	241	27
3	2097	27
0	8370	25

Stop Event

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

Counts

5 → 344

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))

Outputs
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval59.0ms (0.9%)

Memory: 28.2MiB live, 184.9MiB allocated
Compiler: Compiled 12 121 to 1 266 computations (89.6% saved)

prune15.0ms (0.2%)

Memory

-25.7MiB live, 55.5MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	441	9	450
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	442	9	451

Accuracy

99.9%

Counts

451 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.9%	(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	98.8%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	99.6%	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
▶	98.7%	(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e)))
▶	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
▶	99.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
	98.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))
▶	46.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
	98.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))

Compiler

Compiled 182 to 154 computations (15.4% saved)

simplify154.0ms (2.3%)

Memory

11.5MiB live, 207.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	195
0	49	189
1	81	189
2	139	189
3	245	187
4	433	187
5	1044	182
6	3244	182
7	5366	182
8	6596	182
9	7016	182
10	7124	182
11	7237	182
12	7295	182
0	8097	182

Stop Event

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

Calls

Call 1

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

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

localize113.0ms (1.7%)

Memory

21.9MiB live, 222.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.109375	(*.f64 (sin.f64 v) e)
accuracy	0.1171875	(*.f64 (cos.f64 v) e)
accuracy	0.1796875	(/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))
accuracy	0.833593977225367	(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e)))
accuracy	0	(cos.f64 v)
accuracy	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))))
accuracy	0.0078125	(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
accuracy	0.21875	(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
accuracy	0	(sin.f64 v)
accuracy	0.01171875	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
accuracy	0.109375	(*.f64 e (sin.f64 v))
accuracy	0.6631726072318356	#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
accuracy	0	(+.f64 e #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
accuracy	0.01953125	(/.f64 e (+.f64 e #s(literal 1 binary64)))
accuracy	34.025743197035915	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
accuracy	0	(sin.f64 v)
accuracy	0	(cos.f64 v)
accuracy	0.01171875	(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy	0.1171875	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)

Samples

93.0ms

256×

valid

Compiler

Compiled 174 to 26 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-div: 33.0ms (46.9% of total)

ival-sin: 14.0ms (19.9% of total)

ival-mult: 9.0ms (12.8% of total)

ival-cos: 8.0ms (11.4% of total)

ival-add: 4.0ms (5.7% of total)

ival-sub: 2.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.7%)

Memory

-5.4MiB live, 110.7MiB allocated

Counts

20 → 432

Calls

Call 1

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

Outputs
#s(alt (/ v (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* (pow v 2) (- (+ (* -1 (* (pow v 2) (+ (* -1/2 (/ (* e (- (* 1/120 (/ 1 (+ 1 e))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ 1 e))) (+ (* -1/24 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e))) (+ (* -1/720 (/ e (pow (+ 1 e) 2))) (* 1/5040 (/ 1 (+ 1 e)))))))) (* 1/120 (/ 1 (+ 1 e)))) (+ (* 1/24 (/ e (pow (+ 1 e) 2))) (* 1/2 (/ (* e (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e))))) (+ 1 e)))))) (+ (* -1/2 (/ e (pow (+ 1 e) 2))) (* 1/6 (/ 1 (+ 1 e)))))) (/ 1 (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) (patch (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt v (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* -1/6 (pow v 2)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* (pow v 2) (- (* 1/120 (pow v 2)) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (+ 1 e) (taylor 0 v) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* -1/2 (* e (pow v 2))))) (taylor 0 v) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) (taylor 0 v) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) (taylor 0 v) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow v 2))) (taylor 0 v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) (taylor 0 v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) (taylor 0 v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)) #<representation binary64>) () ())) ())
#s(alt v (taylor -inf e) (#s(alt (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (patch (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) #<representation binary64>) () ())) ())
#s(alt (+ v (* -1 (/ v e))) (taylor -inf e) (#s(alt (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (patch (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) #<representation binary64>) () ())) ())
#s(alt (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) (taylor -inf e) (#s(alt (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (patch (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) #<representation binary64>) () ())) ())
#s(alt (+ v (* -1 (/ (+ v (* -1 (/ (+ v (* -1 (/ v e))) e))) e))) (taylor -inf e) (#s(alt (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) (patch (.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf e) (#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ 1 e)) (taylor -inf e) (#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) (taylor -inf e) (#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 e)) e))) e))) (taylor -inf e) (#s(alt (/.f64 e (+.f64 e #s(literal 1 binary64))) (patch (/.f64 e (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt e (taylor -inf e) (#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* e (+ 1 (/ 1 e))) (taylor -inf e) (#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* e (+ 1 (/ 1 e))) (taylor -inf e) (#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* e (+ 1 (/ 1 e))) (taylor -inf e) (#s(alt (+.f64 e #s(literal 1 binary64)) (patch (+.f64 e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (patch (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (patch (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (patch (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (* -1 (/ (sin v) (pow (cos v) 3)))) e)) (* -1 (/ (sin v) (pow (cos v) 2)))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) (patch (/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor -inf e) (#s(alt (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (patch (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (+ (cos v) (/ 1 e)) (taylor -inf e) (#s(alt (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (patch (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (+ (cos v) (/ 1 e)) (taylor -inf e) (#s(alt (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (patch (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (+ (cos v) (/ 1 e)) (taylor -inf e) (#s(alt (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) (patch (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (cos v))) (taylor -inf e) (#s(alt (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (patch (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (/ 1 e) (* -1 (cos v))))) (taylor -inf e) (#s(alt (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (patch (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (/ 1 e) (* -1 (cos v))))) (taylor -inf e) (#s(alt (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (patch (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (/ 1 e) (* -1 (cos v))))) (taylor -inf e) (#s(alt (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (patch (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (.f64 (cos.f64 v) e) (patch (.f64 (cos.f64 v) e) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (.f64 (cos.f64 v) e) (patch (.f64 (cos.f64 v) e) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (.f64 (cos.f64 v) e) (patch (.f64 (cos.f64 v) e) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt (.f64 (cos.f64 v) e) (patch (.f64 (cos.f64 v) e) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) (patch (.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (cos v) (sin v))) (taylor -inf e) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e)) (patch (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) (taylor -inf e) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e)) (patch (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) (taylor -inf e) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e)) (patch (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) (taylor -inf e) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e)) (patch (/.f64 (-.f64 #s(literal -1 binary64) (.f64 (cos.f64 v) e)) (.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 (sin.f64 v) e) (patch (.f64 (sin.f64 v) e) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 (sin.f64 v) e) (patch (.f64 (sin.f64 v) e) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 (sin.f64 v) e) (patch (.f64 (sin.f64 v) e) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt (.f64 (sin.f64 v) e) (patch (.f64 (sin.f64 v) e) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	v	@	0	((/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (cos v) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (* (sin v) e))
6.0ms	e	@	0	((/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (cos v) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (* (sin v) e))
6.0ms	e	@	inf	((/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (cos v) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (* (sin v) e))
3.0ms	v	@	inf	((/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (cos v) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (* (sin v) e))
3.0ms	v	@	-inf	((/ (sin v) (+ (* (cos v) e) 1)) (sin v) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (+ e 1) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (- (cos v) (/ -1 e)) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (- -1 (* (cos v) e)) (* (cos v) e) (* (/ (sin v) (+ (* (cos v) e) 1)) e) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (* (sin v) e))

simplify177.0ms (2.7%)

Memory

10.2MiB live, 365.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	448	6406
1	1431	6207
2	4132	6153
0	8854	5843

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 425

Calls

Call 1

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

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

rewrite180.0ms (2.7%)

Memory

-17.2MiB live, 366.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	164
0	49	163
1	198	157
2	1249	157
0	8833	157

Stop Event

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

Counts

20 → 965

Calls

Call 1

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

Outputs
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eval218.0ms (3.3%)

Memory: -13.8MiB live, 658.4MiB allocated
Compiler: Compiled 31 037 to 3 362 computations (89.2% saved)

prune59.0ms (0.9%)

Memory

-11.6MiB live, 227.6MiB allocated

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	1 505	24	1 529
Fresh	1	3	4
Picked	3	2	5
Done	0	0	0
Total	1 509	29	1 538

Accuracy

100.0%

Counts

1 538 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.9%	(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	98.8%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	46.1%	(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
▶	46.1%	(/.f64 #s(approx (* e (sin v)) (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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
	46.1%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	46.3%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	46.8%	(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
▶	99.6%	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
	98.6%	(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
	98.6%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (neg.f64 e)))
	93.1%	(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)) (.f64 (sin.f64 v) (.f64 (/.f64 (cos.f64 v) e) e))) (.f64 (sin.f64 v) (sin.f64 v))))
	89.4%	(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (sin.f64 v)) (.f64 (.f64 e (sin.f64 v)) (.f64 (/.f64 (cos.f64 v) e) e))) (.f64 (*.f64 e (sin.f64 v)) (sin.f64 v))))
	97.1%	(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)))
	50.1%	(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
▶	47.1%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
	45.8%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) v) e)))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
	98.2%	(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)
	99.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
	98.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))))
	46.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
	45.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) v)))
	45.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
	98.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))
▶	46.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
	46.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
▶	46.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v)))

Compiler

Compiled 765 to 568 computations (25.8% saved)

simplify142.0ms (2.2%)

Memory

-6.7MiB live, 281.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* e (sin v)) (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)))
cost-diff	0	(/.f64 #s(approx (* e (sin v)) (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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
cost-diff	320	(fma.f64 (.f64 (.f64 v v) e) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) e))
cost-diff	320	(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))
cost-diff	0	(fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e))
cost-diff	0	#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
cost-diff	192	(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)
cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) e) e)
cost-diff	0	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))
cost-diff	0	(*.f64 e v)
cost-diff	0	#s(approx (* (/ e (+ e 1)) v) (*.f64 e v))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v)))
cost-diff	0	(cos.f64 v)
cost-diff	0	(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
cost-diff	0	(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))
cost-diff	384	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	429
0	92	425
1	163	421
2	317	413
3	844	409
4	2275	402
5	4891	399
0	8075	386

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 (*.f64 (sin.f64 v) e) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
e
(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))
(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
(cos.f64 v)
v
#s(literal 1 binary64)
(sin.f64 v)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 v e)))
#s(approx (* (/ e (+ e 1)) v) (*.f64 e v))
#s(approx (* (/ e (+ e 1)) v) (*.f64 v e))
(*.f64 e v)
(*.f64 v e)
e
v
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)
(*.f64 (/.f64 v (-.f64 e #s(literal -1 binary64))) e)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))
(/.f64 e (-.f64 e #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) e) e)
(/.f64 (-.f64 e #s(literal -1 binary64)) e)
(+.f64 #s(literal 1 binary64) e)
(-.f64 e #s(literal -1 binary64))
e
v
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v) (*.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal -1/2 binary64)) v))))
#s(literal -1 binary64)
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))
#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v) (*.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal -1/2 binary64)) v)))
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v) (*.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal -1/2 binary64)) v))
(fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e))
(*.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v)
(*.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 1/2 binary64)) v)
(fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 e #s(literal -1 binary64)) e) #s(literal 1/2 binary64))
(/.f64 (+.f64 e #s(literal 1 binary64)) e)
(/.f64 (-.f64 e #s(literal -1 binary64)) e)
(+.f64 e #s(literal 1 binary64))
(-.f64 e #s(literal -1 binary64))
e
#s(literal 1 binary64)
#s(literal -1/6 binary64)
#s(literal 1/2 binary64)
v
(/.f64 (-.f64 #s(literal -1 binary64) e) e)
(-.f64 #s(literal -1 binary64) e)
(/.f64 #s(approx (* e (sin v)) (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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(approx (* e (sin v)) (.f64 e (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) v) v #s(literal 1/120 binary64)) (pow.f64 v #s(literal 5 binary64)) v)))) #s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64))))
#s(approx (* e (sin v)) (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)))
#s(approx (* e (sin v)) (.f64 e (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) v) v #s(literal 1/120 binary64)) (pow.f64 v #s(literal 5 binary64)) v))))
(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))
(.f64 e (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -1/6 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) v) v #s(literal 1/120 binary64)) (pow.f64 v #s(literal 5 binary64)) v)))
(pow.f64 v #s(literal 3 binary64))
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 (fma.f64 v (.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) v) v #s(literal 1/120 binary64)) v) #s(literal -1/6 binary64)))
(.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) e)) v)
(.f64 (.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) v) v #s(literal 1/120 binary64)) v) e)
(fma.f64 (.f64 (.f64 v v) e) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) e))
(.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) v) v #s(literal 1/120 binary64)) e)
(.f64 (.f64 v v) e)
(*.f64 v v)
e
#s(literal -1/5040 binary64)
(*.f64 #s(literal 1/120 binary64) e)
#s(literal 1/120 binary64)
(*.f64 #s(literal -1/6 binary64) e)
#s(literal -1/6 binary64)
(*.f64 e v)
(*.f64 v e)
#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
#s(approx (+ 1 (* e (cos v))) (-.f64 e #s(literal -1 binary64)))
(+.f64 e #s(literal 1 binary64))
(-.f64 e #s(literal -1 binary64))
#s(literal 1 binary64)

localize170.0ms (2.6%)

Memory

5.7MiB live, 483.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.5313914661931655	(fma.f64 (.f64 (.f64 v v) e) #s(literal -1/5040 binary64) (*.f64 #s(literal 1/120 binary64) e))
accuracy	0.6631726072318356	#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
accuracy	8.556542452172131	(.f64 (.f64 v v) e)
accuracy	34.51771805542487	#s(approx (* e (sin v)) (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)))
accuracy	0.3444137695368841	(fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.833593977225367	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)))
accuracy	9.28429225388024	(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)
accuracy	34.01189189569942	#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))
accuracy	0.00390625	(/.f64 (+.f64 #s(literal 1 binary64) e) e)
accuracy	0.0078125	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)
accuracy	0.1484375	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e))
accuracy	34.025743197035915	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v))
accuracy	0	(*.f64 e v)
accuracy	1.0416616887108212	#s(approx (* (/ e (+ e 1)) v) (*.f64 e v))
accuracy	34.025743197035915	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v)))
accuracy	0	(sin.f64 v)
accuracy	0	(cos.f64 v)
accuracy	0.12109375	(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))
accuracy	0.2109375	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))

Samples

114.0ms

256×

valid

Compiler

Compiled 323 to 54 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 28.0ms (31.1% of total)

ival-div: 19.0ms (21.1% of total)

ival-add: 11.0ms (12.2% of total)

const: 11.0ms (12.2% of total)

ival-cos: 8.0ms (8.9% of total)

ival-sin: 6.0ms (6.7% of total)

ival-sub: 4.0ms (4.4% of total)

ival-pow: 3.0ms (3.3% of total)

exact: 1.0ms (1.1% of total)

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

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

series54.0ms (0.8%)

Memory

26.4MiB live, 145.5MiB allocated

Counts

23 → 492

Calls

Call 1

Inputs
#s(alt (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 e v))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ e (+ e 1)) v) (.f64 e v)) (patch #s(approx ( (/ e (+ e 1)) v) (*.f64 e v)) #<representation binary64>) () ())
#s(alt (.f64 e v) (patch (.f64 e v) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) (patch (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) e)) v) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) e) e) (patch (/.f64 (+.f64 #s(literal 1 binary64) e) e) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v) (patch (/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 ( (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)) (patch #s(approx (/ (- -1 ( (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) (patch (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) e)) (patch (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) e)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* e (sin v)) (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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 #s(approx (* e (sin v)) (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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* e (sin v)) (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))) (patch #s(approx (* e (sin v)) (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))) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 v v) e) (patch (.f64 (.f64 v v) e) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) (patch (/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 e) v) (taylor 0 v) (#s(alt (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ e (* (pow v 2) (- (* -1/2 e) (* -1/6 (+ 1 e)))))) v) (taylor 0 v) (#s(alt (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) (taylor 0 v) (#s(alt (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ e (* (pow v 2) (- (+ (* -1/2 e) (* (pow v 2) (- (+ (* 1/24 e) (* (pow v 2) (- (* -1/720 e) (+ (* -1/6 (- (* 1/24 e) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e))))) (+ (* -1/5040 (+ 1 e)) (* 1/120 (- (* -1/2 e) (* -1/6 (+ 1 e))))))))) (+ (* -1/6 (- (* -1/2 e) (* -1/6 (+ 1 e)))) (* 1/120 (+ 1 e)))))) (* -1/6 (+ 1 e)))))) v) (taylor 0 v) (#s(alt (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) (patch (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)) #<representation binary64>) () ())) ())
#s(alt (+ 1 e) (taylor 0 v) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* -1/2 (* e (pow v 2))))) (taylor 0 v) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* 1/24 (* e (pow v 2))))))) (taylor 0 v) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ e (* (pow v 2) (+ (* -1/2 e) (* (pow v 2) (+ (* -1/720 (* e (pow v 2))) (* 1/24 e))))))) (taylor 0 v) (#s(alt (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (patch (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow v 2))) (taylor 0 v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow v 2) (- (* 1/24 (pow v 2)) 1/2))) (taylor 0 v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/24 (* -1/720 (pow v 2)))) 1/2))) (taylor 0 v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 e v))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v))) #<representation binary64>) () ())) ())
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#s(alt (- (* -1 (/ (cos v) (sin v))) (/ 1 (* e (sin v)))) (taylor -inf e) (#s(alt #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)) (patch #s(approx (/ (- -1 ( (cos v) e)) (* (sin v) e)) (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) v)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/3 (pow v 2)) 1) (taylor -inf e) (#s(alt (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) (patch (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1) (taylor -inf e) (#s(alt (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) (patch (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1) (taylor -inf e) (#s(alt (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) (patch (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ 1 (* 1/6 (pow v 2))) e)) (* 1/3 (pow v 2))) 1) (taylor -inf e) (#s(alt (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) (patch (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v (/.f64 (-.f64 #s(literal -1 binary64) e) e)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (+ 1/6 (* (pow v 2) (- (* 1/5040 (pow v 2)) 1/120))))) (taylor -inf e) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (+ 1/6 (* (pow v 2) (- (* 1/5040 (pow v 2)) 1/120))))) (taylor -inf e) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (+ 1/6 (* (pow v 2) (- (* 1/5040 (pow v 2)) 1/120))))) (taylor -inf e) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (+ 1/6 (* (pow v 2) (- (* 1/5040 (pow v 2)) 1/120))))) (taylor -inf e) (#s(alt (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)) (patch (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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* 1/5040 (pow v 2)) 1/120))) (taylor -inf e) (#s(alt (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) e)) (patch (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* 1/5040 (pow v 2)) 1/120))) (taylor -inf e) (#s(alt (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) e)) (patch (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* 1/5040 (pow v 2)) 1/120))) (taylor -inf e) (#s(alt (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) e)) (patch (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* 1/5040 (pow v 2)) 1/120))) (taylor -inf e) (#s(alt (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) e)) (patch (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 #s(approx (* e (sin v)) (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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 #s(approx (* e (sin v)) (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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 #s(approx (* e (sin v)) (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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 #s(approx (* e (sin v)) (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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 #s(approx (* e (sin v)) (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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 #s(approx (* e (sin v)) (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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 #s(approx (* e (sin v)) (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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 #s(approx (* e (sin v)) (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))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt #s(approx (* e (sin v)) (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))) (patch #s(approx (* e (sin v)) (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))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt #s(approx (* e (sin v)) (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))) (patch #s(approx (* e (sin v)) (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))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt #s(approx (* e (sin v)) (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))) (patch #s(approx (* e (sin v)) (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))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt #s(approx (* e (sin v)) (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))) (patch #s(approx (* e (sin v)) (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))) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor -inf e) (#s(alt (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1/3 (* 1/6 (/ 1 e))) (taylor -inf e) (#s(alt (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1/3 (* 1/6 (/ 1 e))) (taylor -inf e) (#s(alt (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1/3 (* 1/6 (/ 1 e))) (taylor -inf e) (#s(alt (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* e (pow v 2)) (taylor -inf e) (#s(alt (.f64 (.f64 v v) e) (patch (.f64 (.f64 v v) e) #<representation binary64>) () ())) ())
#s(alt (* e (pow v 2)) (taylor -inf e) (#s(alt (.f64 (.f64 v v) e) (patch (.f64 (.f64 v v) e) #<representation binary64>) () ())) ())
#s(alt (* e (pow v 2)) (taylor -inf e) (#s(alt (.f64 (.f64 v v) e) (patch (.f64 (.f64 v v) e) #<representation binary64>) () ())) ())
#s(alt (* e (pow v 2)) (taylor -inf e) (#s(alt (.f64 (.f64 v v) e) (patch (.f64 (.f64 v v) e) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	e	@	-inf	((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* e v) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (+ (* (* (+ (* (* (* v v) e) -1/5040) (* 1/120 e)) v) v) (* -1/6 e)) (+ (* (* (* v v) e) -1/5040) (* 1/120 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (+ (* (/ (+ e 1) e) -1/6) 1/2) (* (* v v) e) (+ 1 (* e (cos v))))
5.0ms	v	@	-inf	((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* e v) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (+ (* (* (+ (* (* (* v v) e) -1/5040) (* 1/120 e)) v) v) (* -1/6 e)) (+ (* (* (* v v) e) -1/5040) (* 1/120 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (+ (* (/ (+ e 1) e) -1/6) 1/2) (* (* v v) e) (+ 1 (* e (cos v))))
5.0ms	e	@	0	((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* e v) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (+ (* (* (+ (* (* (* v v) e) -1/5040) (* 1/120 e)) v) v) (* -1/6 e)) (+ (* (* (* v v) e) -1/5040) (* 1/120 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (+ (* (/ (+ e 1) e) -1/6) 1/2) (* (* v v) e) (+ 1 (* e (cos v))))
5.0ms	e	@	inf	((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* e v) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (+ (* (* (+ (* (* (* v v) e) -1/5040) (* 1/120 e)) v) v) (* -1/6 e)) (+ (* (* (* v v) e) -1/5040) (* 1/120 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (+ (* (/ (+ e 1) e) -1/6) 1/2) (* (* v v) e) (+ 1 (* e (cos v))))
4.0ms	v	@	inf	((/ e (/ (+ (* (cos v) e) 1) (sin v))) (/ (+ (* (cos v) e) 1) (sin v)) (+ (* (cos v) e) 1) (cos v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* e v) (/ 1 (/ (+ 1 e) e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ 1 (/ (+ 1 e) e)) v) (/ (+ 1 e) e) (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (+ (* (* (+ (* (* (* v v) e) -1/5040) (* 1/120 e)) v) v) (* -1/6 e)) (+ (* (* (* v v) e) -1/5040) (* 1/120 e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (+ (* (/ (+ e 1) e) -1/6) 1/2) (* (* v v) e) (+ 1 (* e (cos v))))

simplify172.0ms (2.6%)

Memory

-22.7MiB live, 372.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	426	6949
1	1315	6740
2	3743	6680
0	8217	6251

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 486

Calls

Call 1

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

rewrite179.0ms (2.7%)

Memory

-1.5MiB live, 399.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	325
0	92	315
1	378	315
2	2661	315
0	8594	315

Stop Event

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

Counts

23 → 749

Calls

Call 1

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

Outputs
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eval194.0ms (3%)

Memory: 15.7MiB live, 602.8MiB allocated
Compiler: Compiled 32 668 to 3 923 computations (88% saved)

prune73.0ms (1.1%)

Memory

28.2MiB live, 269.6MiB allocated

Pruning

41 alts after pruning (37 fresh and 4 done)

	Pruned	Kept	Total
New	1 241	20	1 261
Fresh	5	17	22
Picked	3	2	5
Done	0	2	2
Total	1 249	41	1 290

Accuracy

100.0%

Counts

1 290 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.9%	(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	98.8%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	46.1%	(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	46.1%	(/.f64 #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal 1/120 binary64) e)) (.f64 v v) (.f64 #s(literal -1/6 binary64) e)) (.f64 e v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
▶	46.1%	(/.f64 #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
	46.1%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	46.3%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
▶	46.3%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) e) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	46.8%	(/.f64 #s(approx (* e (sin v)) (.f64 v e)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
✓	99.6%	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
	98.0%	(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
	70.5%	(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #s(literal -1 binary64))))
	48.1%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) e (fma.f64 #s(literal 1/6 binary64) (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 -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)))
	48.1%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (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)))
	46.8%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
	98.6%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (neg.f64 e)))
	93.1%	(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)) (.f64 (sin.f64 v) (.f64 (/.f64 (cos.f64 v) e) e))) (.f64 (sin.f64 v) (sin.f64 v))))
	89.4%	(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (sin.f64 v)) (.f64 (.f64 e (sin.f64 v)) (.f64 (/.f64 (cos.f64 v) e) e))) (.f64 (*.f64 e (sin.f64 v)) (sin.f64 v))))
	97.1%	(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)))
	50.1%	(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
	5.8%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (fma.f64 (*.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64))) v)))
	46.5%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal -1 binary64)) e)) v)))
	45.6%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) v) v #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) v) v #s(literal 1 binary64)) e))) v)))
	5.1%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (.f64 (.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v)) v)))
	47.1%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) e) e))))))
	47.1%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/3 binary64) v (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) e) (/.f64 #s(literal 1 binary64) v)))))))
	46.5%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal -1 binary64)) v) e))))
▶	47.1%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))
	5.1%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v))))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
	98.2%	(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)
▶	99.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
	98.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))))
	46.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
	45.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 v e))))
	98.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))
	46.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) e) (/.f64 #s(literal 1 binary64) e))) v))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
▶	46.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
	2.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
✓	46.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v)))

Compiler

Compiled 1 218 to 893 computations (26.7% saved)

simplify110.0ms (1.7%)

Memory

-11.4MiB live, 230.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 v #s(literal 3 binary64))
cost-diff	0	#s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e)))
cost-diff	0	(/.f64 #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
cost-diff	320	(fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e))
cost-diff	0	(-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))
cost-diff	0	#s(approx (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))
cost-diff	0	#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))
cost-diff	0	(*.f64 #s(literal -1/6 binary64) e)
cost-diff	0	(fma.f64 (.f64 #s(literal -1/6 binary64) e) (.f64 v v) e)
cost-diff	0	#s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) e) (*.f64 v v) e) v))
cost-diff	0	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) e) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) e) e)
cost-diff	0	#s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
cost-diff	0	(.f64 #s(approx (/ e (+ e 1)) (.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 (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
cost-diff	0	(sin.f64 v)
cost-diff	0	(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
cost-diff	6656	(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	521
0	105	512
1	178	509
2	333	509
3	815	502
4	2515	502
5	6617	496
0	8107	481

Stop Event

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

Calls

Call 1

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

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

localize194.0ms (3%)

Memory

1.7MiB live, 476.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.28531643056886025	(fma.f64 #s(literal -1/5040 binary64) (*.f64 v v) #s(literal 1/120 binary64))
accuracy	0.6631726072318356	#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
accuracy	4.170776979469802	(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (*.f64 v v) #s(literal -1/6 binary64)) e)
accuracy	34.51771805542487	#s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e)))
accuracy	0.15625	(fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v))
accuracy	0.15625	(fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v))
accuracy	0.833593977225367	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e)))))
accuracy	34.01189189569942	#s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))
accuracy	0.3203125	(*.f64 #s(literal -1/6 binary64) e)
accuracy	0.6631726072318356	#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
accuracy	8.76907176363464	(fma.f64 (.f64 #s(literal -1/6 binary64) e) (.f64 v v) e)
accuracy	34.3813972192072	#s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) e) (*.f64 v v) e) v))
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) e) e)
accuracy	0.0078125	(.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)
accuracy	0.6541443760909958	#s(approx (/ e (+ e 1)) (*.f64 (-.f64 #s(literal 1 binary64) e) e))
accuracy	34.025743197035915	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
accuracy	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))))
accuracy	0.00390625	(pow.f64 e #s(literal -1/2 binary64))
accuracy	0.21875	(/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))
accuracy	0.4873237793053261	(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))

Samples

150.0ms

256×

valid

Compiler

Compiled 329 to 65 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-mult: 33.0ms (27.3% of total)

ival-div: 19.0ms (15.7% of total)

const: 18.0ms (14.9% of total)

ival-add: 14.0ms (11.6% of total)

ival-sub: 14.0ms (11.6% of total)

ival-pow: 9.0ms (7.5% of total)

ival-sin: 7.0ms (5.8% of total)

ival-cos: 6.0ms (5% of total)

exact: 1.0ms (0.8% of total)

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

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

series75.0ms (1.1%)

Memory

-11.4MiB live, 192.0MiB allocated

Counts

26 → 516

Calls

Call 1

Inputs
#s(alt (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) (patch (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v)))) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) (patch (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v) (patch (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v) #<representation binary64>) () ())
#s(alt #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) (patch #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) e) e) (patch (.f64 (-.f64 #s(literal 1 binary64) e) e) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) e) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) e) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) e) (.f64 v v) e) v)) (patch #s(approx ( e (sin v)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) e) (*.f64 v v) e) v)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -1/6 binary64) e) (.f64 v v) e) (patch (fma.f64 (.f64 #s(literal -1/6 binary64) e) (.f64 v v) e) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/6 binary64) e) (patch (.f64 #s(literal -1/6 binary64) e) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))))) #<representation binary64>) () ())
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#s(alt #s(approx (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))) (patch #s(approx (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (-.f64 (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v)) (/.f64 (fma.f64 #s(literal 1/6 binary64) v (/.f64 #s(literal 1 binary64) v)) e))) #<representation binary64>) () ())
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Outputs
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#s(alt (/ v (+ 1 (/ 1 e))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) (patch (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) (patch (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) (patch (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* (pow v 2) (- (+ (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (* (pow v 2) (- (* 1/720 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (+ (* -1/2 (/ (- (* 1/120 (/ 1 (+ 1 (/ 1 e)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))) (+ 1 (/ 1 e)))) (+ (* 1/5040 (/ 1 (+ 1 (/ 1 e)))) (* 1/24 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e))))))))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow (+ 1 (/ 1 e)) 2))) (* 1/6 (/ 1 (+ 1 (/ 1 e))))) (+ 1 (/ 1 e)))) (* 1/24 (/ 1 (pow (+ 1 (/ 1 e)) 2))))))) (* 1/6 (/ 1 (+ 1 (/ 1 e)))))) (/ 1 (+ 1 (/ 1 e))))) (taylor 0 v) (#s(alt (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) (patch (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))) #<representation binary64>) () ())) ())
#s(alt v (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
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#s(alt (* v (+ 1 (* (pow v 2) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))) (taylor 0 v) (#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) #<representation binary64>) () ())) ())
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#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (+ (* 1/120 (/ e (+ 1 e))) (* (pow v 2) (- (* -1/5040 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2)))))) (+ 1 e))) (+ (* -1/720 (/ (pow e 2) (pow (+ 1 e) 2))) (* 1/24 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e)))))))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v)) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v) (patch (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v) (patch (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v) (patch (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v) (patch (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v) #<representation binary64>) () ())) ())
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt (/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) e) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) e) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* v (+ (* (pow v 2) (- (+ (* -1/6 (/ e (+ 1 e))) (* (pow v 2) (- (* 1/120 (/ e (+ 1 e))) (+ (* -1/2 (/ (* e (- (* -1/6 (/ e (+ 1 e))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (+ 1 e))) (* 1/24 (/ (pow e 2) (pow (+ 1 e) 2))))))) (* -1/2 (/ (pow e 2) (pow (+ 1 e) 2))))) (/ e (+ 1 e)))) (taylor 0 v) (#s(alt (/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) e) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) e) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* e (+ (* -1 v) (* -1 (* (pow v 3) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))) (taylor -inf e) (#s(alt (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e)) (patch (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (+ (* -1 v) (* -1 (* (pow v 3) (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)))))) (taylor -inf e) (#s(alt (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e)) (patch (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e)) #<representation binary64>) () ())) ())
#s(alt (/ (sin v) (cos v)) (taylor -inf e) (#s(alt (/.f64 #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (sin v) (* e (pow (cos v) 2)))) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 3)))) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (sin v) (* e (pow (cos v) 4)))) (/ (sin v) (pow (cos v) 3))) e)) (/ (sin v) (pow (cos v) 2))) e)) (/ (sin v) (cos v))) (taylor -inf e) (#s(alt (/.f64 #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e))) (patch #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e))) (patch #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e))) (patch #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e))) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor -inf e) (#s(alt #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e))) (patch #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (.f64 v e))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 e)) (pow (sqrt -1) 2)) (taylor -inf e) (#s(alt (pow.f64 e #s(literal -1/2 binary64)) (patch (pow.f64 e #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 e)) (pow (sqrt -1) 2)) (taylor -inf e) (#s(alt (pow.f64 e #s(literal -1/2 binary64)) (patch (pow.f64 e #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 e)) (pow (sqrt -1) 2)) (taylor -inf e) (#s(alt (pow.f64 e #s(literal -1/2 binary64)) (patch (pow.f64 e #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 e)) (pow (sqrt -1) 2)) (taylor -inf e) (#s(alt (pow.f64 e #s(literal -1/2 binary64)) (patch (pow.f64 e #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (- (* -1 (cos v)) (/ 1 e)))) (taylor -inf e) (#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)) (taylor -inf e) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)) (taylor -inf e) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)) (taylor -inf e) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) #<representation binary64>) () ())) ())
#s(alt (* e (- (* (pow v 2) (+ 1/120 (* -1/5040 (pow v 2)))) 1/6)) (taylor -inf e) (#s(alt (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) (patch (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	v	@	0	((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (* (- 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ (* (* -1/6 e) (* v v)) e) (* -1/6 e) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (+ (* (pow v 3) (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) e)) (* v e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (pow v 3) (pow e -1/2) (+ 1 (* e (cos v))) (+ (* 1/6 v) (/ 1 v)) (+ (* 1/3 v) (/ -1 v)) (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) e) (+ (* -1/5040 (* v v)) 1/120))
8.0ms	e	@	-inf	((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (* (- 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ (* (* -1/6 e) (* v v)) e) (* -1/6 e) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (+ (* (pow v 3) (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) e)) (* v e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (pow v 3) (pow e -1/2) (+ 1 (* e (cos v))) (+ (* 1/6 v) (/ 1 v)) (+ (* 1/3 v) (/ -1 v)) (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) e) (+ (* -1/5040 (* v v)) 1/120))
8.0ms	v	@	-inf	((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (* (- 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ (* (* -1/6 e) (* v v)) e) (* -1/6 e) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (+ (* (pow v 3) (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) e)) (* v e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (pow v 3) (pow e -1/2) (+ 1 (* e (cos v))) (+ (* 1/6 v) (/ 1 v)) (+ (* 1/3 v) (/ -1 v)) (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) e) (+ (* -1/5040 (* v v)) 1/120))
5.0ms	e	@	0	((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (* (- 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ (* (* -1/6 e) (* v v)) e) (* -1/6 e) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (+ (* (pow v 3) (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) e)) (* v e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (pow v 3) (pow e -1/2) (+ 1 (* e (cos v))) (+ (* 1/6 v) (/ 1 v)) (+ (* 1/3 v) (/ -1 v)) (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) e) (+ (* -1/5040 (* v v)) 1/120))
5.0ms	v	@	inf	((+ (* (pow e -1/2) (pow e -1/2)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/2) (pow e -1/2)) (cos v))) (sin v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (/ e (+ e 1)) (* (- 1 e) e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (+ (* (* -1/6 e) (* v v)) e) (* -1/6 e) (/ -1 (/ (- -1 (* (cos v) e)) (* (sin v) e))) (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (+ (* (pow v 3) (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) e)) (* v e)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (pow v 3) (pow e -1/2) (+ 1 (* e (cos v))) (+ (* 1/6 v) (/ 1 v)) (+ (* 1/3 v) (/ -1 v)) (* (+ (* (+ (* -1/5040 (* v v)) 1/120) (* v v)) -1/6) e) (+ (* -1/5040 (* v v)) 1/120))

simplify170.0ms (2.6%)

Memory

33.1MiB live, 304.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	7663
1	1602	7481
2	4731	7395
0	8187	6966

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 510

Calls

Call 1

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

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

rewrite176.0ms (2.7%)

Memory

-27.9MiB live, 339.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	433
0	105	424
1	452	421
2	3427	421
0	8208	407

Stop Event

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

Counts

26 → 399

Calls

Call 1

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

Outputs
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eval144.0ms (2.2%)

Memory: 3.7MiB live, 313.7MiB allocated
Compiler: Compiled 23 223 to 2 649 computations (88.6% saved)

prune69.0ms (1.1%)

Memory

17.0MiB live, 184.8MiB allocated

Pruning

42 alts after pruning (37 fresh and 5 done)

	Pruned	Kept	Total
New	947	14	961
Fresh	9	23	32
Picked	4	1	5
Done	0	4	4
Total	960	42	1 002

Accuracy

100.0%

Counts

1 002 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.9%	(pow.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	98.8%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	46.1%	(/.f64 #s(approx (* e (sin v)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 (.f64 v v) e) (.f64 #s(literal 1/120 binary64) e)) (.f64 v v) (.f64 #s(literal -1/6 binary64) e)) (.f64 e v))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
	46.1%	(/.f64 #s(approx (* e (sin v)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 v v) #s(literal 1/120 binary64)) (.f64 v v) #s(literal -1/6 binary64)) e) v) (.f64 v v) (.f64 v e))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
	46.1%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	46.4%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) e) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 v e) v) #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)))))
	46.2%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) e) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 (fma.f64 (fma.f64 (.f64 (.f64 v e) v) #s(literal 1/24 binary64) (.f64 #s(literal -1/2 binary64) e)) (.f64 v v) e) #s(literal 1 binary64))))
	45.7%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) e) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
	46.8%	(/.f64 #s(approx (* e (sin v)) (.f64 v e)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
✓	99.6%	(/.f64 e (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) (sin.f64 v)))
	98.0%	(/.f64 e (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) (sin.f64 v)))
	70.5%	(/.f64 e (exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))) #s(literal -1 binary64))))
	48.1%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (fma.f64 (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)))
	46.8%	(/.f64 e #s(approx (/ (+ (* (cos v) e) 1) (sin v)) (/.f64 (+.f64 #s(literal 1 binary64) e) v)))
	45.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 v v) (*.f64 #s(literal -1/6 binary64) e) e) v))))
	98.6%	(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (neg.f64 e)))
	93.1%	(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) e) (sin.f64 v)) (.f64 (sin.f64 v) (.f64 (/.f64 (cos.f64 v) e) e))) (.f64 (sin.f64 v) (sin.f64 v))))
	89.4%	(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (sin.f64 v)) (.f64 (.f64 e (sin.f64 v)) (.f64 (/.f64 (cos.f64 v) e) e))) (.f64 (*.f64 e (sin.f64 v)) (sin.f64 v))))
	97.1%	(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- -1 (* (cos v) e)) #s(literal -1 binary64)) (*.f64 (sin.f64 v) e)))
	50.1%	(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (neg.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
	46.5%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal -1 binary64)) e)) v)))
	5.1%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(approx (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) (.f64 (.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) e) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v) v)) v)))
	47.1%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) (/.f64 #s(literal 1 binary64) (/.f64 v (fma.f64 (*.f64 v v) (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) e) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) e) e))))))
	47.1%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (fma.f64 (/.f64 v e) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/3 binary64) v (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) e) (/.f64 #s(literal 1 binary64) v)))))))
	5.8%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 v v) #s(literal -1 binary64)) v))))
	46.5%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (/.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 v v) #s(literal -1 binary64)) v) e))))
	5.1%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) (*.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) v))))
	5.6%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (fma.f64 #s(literal 1/3 binary64) v (/.f64 #s(literal -1 binary64) v))))))
	46.6%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (/.f64 (fma.f64 #s(literal -1/6 binary64) v (/.f64 #s(literal -1 binary64) v)) e)))))
	5.1%	(/.f64 #s(literal -1 binary64) #s(approx (/ (- -1 (* (cos v) e)) (* (sin v) e)) #s(approx (/ (+ (* (* (+ (* (/ (+ e 1) e) -1/6) 1/2) v) v) (/ (- -1 e) e)) v) #s(approx (- (+ (* 1/3 v) (/ -1 v)) (/ (+ (* 1/6 v) (/ 1 v)) e)) (*.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) e)) v)))))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
	98.2%	(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)
	99.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))))
	98.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))))
	46.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
	98.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))
	46.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) e) (/.f64 #s(literal 1 binary64) e))) v))
	46.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (+.f64 e (.f64 (neg.f64 e) e))) v))
✓	46.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
	46.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) #s(approx ( (- 1 e) e) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64)) e) e))) v))
	29.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) #s(approx ( (- 1 e) e) (*.f64 (neg.f64 e) e))) v))
✓	46.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v)))

Compiler

Compiled 1 653 to 812 computations (50.9% saved)

regimes64.0ms (1%)

Memory

-4.5MiB live, 152.9MiB allocated

Counts

68 → 1

Calls

Call 1

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

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

Calls

3 calls:

21.0ms	e
20.0ms	v
20.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes56.0ms (0.9%)

Memory

-0.5MiB live, 114.7MiB allocated

Counts

55 → 1

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
17.0ms	v
16.0ms	e

Results

Accuracy	Segments	Branch
98.8%	1	`e`
98.8%	1	`v`
98.8%	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)

regimes52.0ms (0.8%)

Memory

9.6MiB live, 128.9MiB allocated

Counts

54 → 1

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	e
16.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
16.0ms	v

Results

Accuracy	Segments	Branch
98.8%	1	`e`
98.8%	1	`v`
98.8%	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)

regimes45.0ms (0.7%)

Memory

-22.0MiB live, 98.3MiB allocated

Counts

45 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.2%	1	`e`
98.2%	1	`v`
98.2%	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)

regimes42.0ms (0.6%)

Memory

4.5MiB live, 81.9MiB allocated

Counts

43 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
48.1%	1	`e`
48.1%	1	`v`
48.1%	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)

regimes32.0ms (0.5%)

Memory

18.8MiB live, 64.5MiB allocated

Counts

31 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	v
9.0ms	e
9.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
46.8%	1	`e`
46.8%	1	`v`
46.8%	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)

regimes10.0ms (0.2%)

Memory

-18.2MiB live, 20.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
46.5%	1	`v`
46.5%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
46.5%	1	`e`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes6.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated

Accuracy

Total -12.1b remaining (-35.2%)

Threshold costs -12.1b (-35.2%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
46.2%	1	`e`
46.2%	1	`v`
46.2%	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)

simplify26.0ms (0.4%)

Memory

3.0MiB live, 81.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	159
1	66	159
2	69	159
3	70	159

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness809.0ms (12.4%)

Memory

18.1MiB live, 825.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	426	6949
1	1315	6740
2	3743	6680
0	8217	6251
0	182	1153
1	554	1138
2	1582	1106
3	5266	1024
0	8387	956
0	448	6406
1	1431	6207
2	4132	6153
0	8854	5843
0	9	27
0	15	27
1	42	27
2	241	27
3	2097	27
0	8370	25

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

Compiler

Compiled 203 to 119 computations (41.4% saved)

preprocess62.0ms (0.9%)

Memory: -9.0MiB live, 188.1MiB allocated
Remove: (negabs v)
Compiler: Compiled 276 to 172 computations (37.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze9.0ms (0.1%)

sample1.7s (26.4%)

explain144.0ms (2.2%)

preprocess77.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize38.0ms (0.6%)

series32.0ms (0.5%)

simplify181.0ms (2.8%)

rewrite193.0ms (2.9%)

eval59.0ms (0.9%)

prune15.0ms (0.2%)

simplify154.0ms (2.3%)

localize113.0ms (1.7%)

series44.0ms (0.7%)

simplify177.0ms (2.7%)

rewrite180.0ms (2.7%)

eval218.0ms (3.3%)

prune59.0ms (0.9%)

simplify142.0ms (2.2%)

localize170.0ms (2.6%)

series54.0ms (0.8%)

simplify172.0ms (2.6%)

rewrite179.0ms (2.7%)

eval194.0ms (3%)

prune73.0ms (1.1%)

simplify110.0ms (1.7%)

localize194.0ms (3%)

series75.0ms (1.1%)

simplify170.0ms (2.6%)

rewrite176.0ms (2.7%)

eval144.0ms (2.2%)

prune69.0ms (1.1%)

regimes64.0ms (1%)

regimes56.0ms (0.9%)

regimes52.0ms (0.8%)

regimes45.0ms (0.7%)

regimes42.0ms (0.6%)

regimes32.0ms (0.5%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

simplify26.0ms (0.4%)

soundness809.0ms (12.4%)

preprocess62.0ms (0.9%)

end0.0ms (0%)

Profiling