Metrics for Trigonometry A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze14.0ms (0.2%)

Memory

-21.1MiB live, 19.2MiB 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)

sample1.4s (18.6%)

Memory

33.0MiB live, 3 090.0MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 836.0ms

ival-cos: 246.0ms (29.4% of total)

ival-sin: 239.0ms (28.6% of total)

ival-mult: 152.0ms (18.2% of total)

ival-add: 60.0ms (7.2% of total)

ival-<=: 59.0ms (7.1% of total)

ival-div: 51.0ms (6.1% of total)

ival-and: 13.0ms (1.6% of total)

exact: 12.0ms (1.4% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain133.0ms (1.7%)

Memory

11.9MiB live, 329.7MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

64.0ms

512×

valid

Compiler

Compiled 111 to 40 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-sin: 20.0ms (42.6% of total)

ival-cos: 13.0ms (27.7% of total)

ival-mult: 7.0ms (14.9% of total)

ival-div: 3.0ms (6.4% of total)

ival-add: 3.0ms (6.4% of total)

ival-true: 1.0ms (2.1% of total)

exact: 0.0ms (0% of total)

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

preprocess76.0ms (1%)

Memory

-5.9MiB live, 65.6MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB 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

13.2MiB live, 13.2MiB 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)

localize45.0ms (0.6%)

Memory

-16.3MiB live, 103.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 v)
accuracy	0.00390625	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
accuracy	0.13671875	(*.f64 e (sin.f64 v))
accuracy	0.14453125	(*.f64 e (cos.f64 v))

Samples

34.0ms

256×

valid

Compiler

Compiled 66 to 20 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-add: 8.0ms (31% of total)

ival-sin: 7.0ms (27.2% of total)

ival-cos: 6.0ms (23.3% of total)

ival-mult: 3.0ms (11.6% of total)

ival-div: 2.0ms (7.8% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.2%)

Memory

10.6MiB live, 47.9MiB allocated

Counts

6 → 120

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>) () ())
#s(alt (cos.f64 v) (patch (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 (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 (+ 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 (cos v) (taylor inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor inf v) (#s(alt (cos.f64 v) (patch (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 (cos v) (taylor -inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor -inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor -inf v) (#s(alt (cos.f64 v) (patch (cos.f64 v) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor -inf v) (#s(alt (cos.f64 v) (patch (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
5.0ms	e	@	0	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
2.0ms	v	@	0	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
2.0ms	e	@	inf	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
2.0ms	e	@	-inf	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))
1.0ms	v	@	inf	((+ 1 (* e (cos v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (sin v) (* e (cos v)) (cos v))

simplify205.0ms (2.6%)

Memory

20.8MiB live, 293.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	1209
1	584	1194
2	1652	1162
3	4899	1089
0	8542	1013

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 118

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

rewrite199.0ms (2.6%)

Memory

-35.7MiB live, 291.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
0	15	29
1	42	29
2	241	29
3	2097	29
0	8370	27

Stop Event

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

Counts

6 → 347

Calls

Call 1

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

Outputs
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eval59.0ms (0.8%)

Memory: 15.1MiB live, 135.5MiB allocated
Compiler: Compiled 12 335 to 1 300 computations (89.5% saved)

prune13.0ms (0.2%)

Memory

11.2MiB live, 49.4MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

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

Accuracy

99.9%

Counts

466 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.7%	(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))
▶	99.2%	(/.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)))
▶	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)))
▶	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))))
	99.3%	#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)))
▶	41.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
	98.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))

Compiler

Compiled 180 to 152 computations (15.6% saved)

simplify170.0ms (2.2%)

Memory

-25.7MiB live, 94.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (cos.f64 v) e #s(literal 1 binary64))
cost-diff	0	(/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v))
cost-diff	192	(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)))
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: 10 (0.0ms)

Iter	Nodes	Cost
0	29	191
0	46	185
1	69	185
2	93	185
3	121	185
4	185	185
5	258	185
6	358	185
7	466	185
8	686	185
9	1237	185
10	2774	179
11	4579	179
12	5793	179
13	6230	179
14	6314	179
15	6370	179
16	6752	179
17	7129	179
18	7322	179
19	7442	179
20	7502	179
21	7562	179
22	7654	179
0	8062	179

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

localize111.0ms (1.4%)

Memory

-12.7MiB live, 196.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 v)
accuracy	0.0078125	(/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e)
accuracy	0.27962875976844204	(/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v))
accuracy	0.5893159076227246	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.f64 v)))
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	0.00390625	(-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e))
accuracy	0.26171875	(/.f64 (sin.f64 v) (-.f64 (cos.f64 v) (/.f64 #s(literal -1 binary64) e)))
accuracy	0	(sin.f64 v)
accuracy	0.00390625	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
accuracy	0.13671875	(*.f64 e (sin.f64 v))
accuracy	0.3775127614374023	#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
accuracy	0	(+.f64 e #s(literal 1 binary64))
accuracy	0.01171875	(/.f64 e (+.f64 e #s(literal 1 binary64)))
accuracy	0.01171875	(*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v)
accuracy	37.196176571544015	#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	0.0078125	(/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy	0.13671875	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)

Samples

73.0ms

256×

valid

Compiler

Compiled 331 to 48 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-sin: 22.0ms (40.3% of total)

ival-div: 12.0ms (22% of total)

ival-mult: 9.0ms (16.5% of total)

ival-cos: 6.0ms (11% of total)

ival-add: 4.0ms (7.3% of total)

ival-sub: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series39.0ms (0.5%)

Memory

1.4MiB live, 81.0MiB allocated

Counts

18 → 384

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	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 (/ (/ (+ (* (cos v) e) 1) e) (sin v))) (/ (+ (* (cos v) e) 1) e) (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (* (/ (sin v) (+ (* (cos v) e) 1)) e))
6.0ms	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 (/ (/ (+ (* (cos v) e) 1) e) (sin v))) (/ (+ (* (cos v) e) 1) e) (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (* (/ (sin v) (+ (* (cos v) e) 1)) 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 (/ (/ (+ (* (cos v) e) 1) e) (sin v))) (/ (+ (* (cos v) e) 1) e) (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (* (/ (sin v) (+ (* (cos v) e) 1)) 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 (/ (/ (+ (* (cos v) e) 1) e) (sin v))) (/ (+ (* (cos v) e) 1) e) (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (* (/ (sin v) (+ (* (cos v) e) 1)) e))
3.0ms	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 (/ (/ (+ (* (cos v) e) 1) e) (sin v))) (/ (+ (* (cos v) e) 1) e) (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (* (/ (sin v) (+ (* (cos v) e) 1)) e))

simplify162.0ms (2.1%)

Memory

32.7MiB live, 263.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	424	6123
1	1331	5963
2	3865	5909
0	8250	5590

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 378

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

rewrite166.0ms (2.1%)

Memory

-22.0MiB live, 300.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	155
0	46	149
1	178	149
2	1091	149
0	8607	149

Stop Event

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

Counts

18 → 1 111

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

Outputs
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eval229.0ms (3%)

Memory: 33.4MiB live, 529.3MiB allocated
Compiler: Compiled 37 134 to 4 018 computations (89.2% saved)

prune60.0ms (0.8%)

Memory

-3.5MiB live, 169.4MiB allocated

Pruning

27 alts after pruning (24 fresh and 3 done)

	Pruned	Kept	Total
New	1 739	22	1 761
Fresh	2	2	4
Picked	2	3	5
Done	0	0	0
Total	1 743	27	1 770

Accuracy

100.0%

Counts

1 770 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.7%	(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))
	72.2%	(pow.f64 (pow.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	71.7%	(/.f64 (.f64 e (.f64 (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
	99.2%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) (*.f64 e e))))))
✓	99.2%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	99.2%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))))
	41.0%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	41.1%	(/.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))))
	99.0%	(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
	97.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) e) (sin.f64 v)))
	42.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)))
	41.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
	98.4%	(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)
▶	99.3%	#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))))
▶	98.2%	#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))))
	41.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
▶	41.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
▶	99.3%	#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)))
	60.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))
✓	41.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
	2.4%	#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))
	41.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
	2.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
	41.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 e v)) e)))
▶	41.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v)))

Compiler

Compiled 621 to 487 computations (21.6% saved)

simplify153.0ms (2%)

Memory

-6.3MiB live, 111.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
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	12416	(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 (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))
cost-diff	0	(sin.f64 v)
cost-diff	0	(/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))
cost-diff	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))))
cost-diff	0	(*.f64 e v)
cost-diff	0	(+.f64 #s(literal 1 binary64) e)
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))
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	(neg.f64 e)
cost-diff	0	(fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	249
0	56	240
1	86	240
2	132	236
3	231	236
4	480	236
5	812	236
6	1110	236
7	1546	236
8	2215	236
9	4148	236
10	6130	236
11	7373	236
12	7643	236
13	7740	236
14	7904	236
15	7922	236
0	8274	231

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

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

localize112.0ms (1.4%)

Memory

21.3MiB live, 215.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(cos.f64 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	0.26171875	(/.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	0.4857025390737681	(fma.f64 (pow.f64 e #s(literal -1/2 binary64)) (pow.f64 e #s(literal -1/2 binary64)) (cos.f64 v))
accuracy	0	(sin.f64 v)
accuracy	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))))
accuracy	0.26171875	(/.f64 (sin.f64 v) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)))
accuracy	0.8566389774358871	#s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))
accuracy	0	(*.f64 e v)
accuracy	0.23046875	(/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))
accuracy	0.5658784076227246	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v)))
accuracy	37.196176571544015	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (*.f64 e v))))
accuracy	0	(*.f64 e v)
accuracy	0.8974172315842164	#s(approx (* (/ e (+ e 1)) v) (*.f64 e v))
accuracy	37.196176571544015	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v)))
accuracy	0	(cos.f64 v)
accuracy	0.01171875	(.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))
accuracy	0.13671875	(*.f64 (sin.f64 v) e)
accuracy	0.31285814258866673	#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)))

Samples

90.0ms

256×

valid

Compiler

Compiled 344 to 59 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-pow: 17.0ms (24.9% of total)

ival-div: 12.0ms (17.6% of total)

ival-mult: 12.0ms (17.6% of total)

ival-add: 11.0ms (16.1% of total)

ival-sin: 7.0ms (10.3% of total)

ival-cos: 6.0ms (8.8% of total)

ival-sub: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory

-11.4MiB live, 68.2MiB allocated

Counts

20 → 432

Calls

Call 1

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

Outputs
#s(alt (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #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))) (patch #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))) #<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 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) (patch #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))) #<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 #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))) (patch #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))) #<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 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (* e (* v (+ 1 (* -1 e)))) (taylor 0 v) (#s(alt (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) (patch (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* e (* (pow v 2) (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e)))) (* e (+ 1 (* -1 e))))) (taylor 0 v) (#s(alt (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) (patch (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e))))))) (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))))))) (taylor 0 v) (#s(alt (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) (patch (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* e (+ 1 (* -1 e))) (* (pow v 2) (+ (* e (+ (* -1/6 (+ 1 (* -1 e))) (* 1/2 e))) (* (pow v 2) (+ (* e (* (pow v 2) (+ (* -1/5040 (+ 1 (* -1 e))) (+ (* 1/720 e) (+ (* 1/240 e) (* 1/144 e)))))) (* e (+ (* -1/12 e) (+ (* -1/24 e) (* 1/120 (+ 1 (* -1 e)))))))))))) (taylor 0 v) (#s(alt (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) (patch (.f64 (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (.f64 (sin.f64 v) e)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 e)) (taylor 0 v) (#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 e) (* 1/2 (* e (pow v 2))))) (taylor 0 v) (#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* -1/24 (* e (pow v 2))) (* 1/2 e))))) (taylor 0 v) (#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 e) (* (pow v 2) (+ (* 1/2 e) (* (pow v 2) (+ (* -1/24 e) (* 1/720 (* e (pow v 2))))))))) (taylor 0 v) (#s(alt (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 e) (cos.f64 v) #s(literal 1 binary64)) #<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>) () ())) ())
#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)))) #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 (* 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)))) #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 (* 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)))) #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 (/ (* e v) (+ 1 e)) (taylor 0 v) (#s(alt #s(approx (* (/ e (+ e 1)) v) (.f64 e v)) (patch #s(approx ( (/ e (+ e 1)) v) (*.f64 e v)) #<representation binary64>) () ())) ())
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#s(alt (cos v) (taylor -inf e) (#s(alt #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) (patch #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (+ (cos v) (/ 1 e)) (taylor -inf e) (#s(alt #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) (patch #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (+ (cos v) (/ 1 e)) (taylor -inf e) (#s(alt #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) (patch #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (+ (cos v) (/ 1 e)) (taylor -inf e) (#s(alt #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) (patch #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())) ())
#s(alt (cos v) (taylor -inf e) (#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 (+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e))) (taylor -inf e) (#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 (+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e))) (taylor -inf e) (#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 (+ (cos v) (* -1 (/ (pow (sqrt -1) 2) e))) (taylor -inf e) (#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 (/ (sin v) (cos v)) (taylor -inf e) (#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 (+ (* -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) (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 (+ (* -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) (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 (+ (* -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) (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 (/ (sin v) (cos v)) (taylor -inf e) (#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 v) (cos v)) (/ (* (sin v) (pow (sqrt -1) 2)) (* e (pow (cos v) 2)))) (taylor -inf e) (#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 (+ (* -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))) (taylor -inf e) (#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 (+ (* -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))) (taylor -inf e) (#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 (* 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>) () ())) ())
#s(alt (/ 1 v) (taylor -inf e) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) e) (.f64 e v)) (patch (/.f64 (+.f64 #s(literal 1 binary64) e) (.f64 e v)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 v) (/ 1 (* e v))) (taylor -inf e) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) e) (.f64 e v)) (patch (/.f64 (+.f64 #s(literal 1 binary64) e) (.f64 e v)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 v) (/ 1 (* e v))) (taylor -inf e) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) e) (.f64 e v)) (patch (/.f64 (+.f64 #s(literal 1 binary64) e) (.f64 e v)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 v) (/ 1 (* e v))) (taylor -inf e) (#s(alt (/.f64 (+.f64 #s(literal 1 binary64) e) (.f64 e v)) (patch (/.f64 (+.f64 #s(literal 1 binary64) e) (.f64 e v)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	v	@	0	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* e v) (/ 1 (/ (+ 1 e) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (sin v) (- (cos v) (/ -1 e)) (+ (* (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) (cos v) (/ (+ 1 e) (* e v)))
4.0ms	e	@	-inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* e v) (/ 1 (/ (+ 1 e) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (sin v) (- (cos v) (/ -1 e)) (+ (* (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) (cos v) (/ (+ 1 e) (* e v)))
3.0ms	v	@	-inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* e v) (/ 1 (/ (+ 1 e) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (sin v) (- (cos v) (/ -1 e)) (+ (* (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) (cos v) (/ (+ 1 e) (* e v)))
3.0ms	v	@	inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* e v) (/ 1 (/ (+ 1 e) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (sin v) (- (cos v) (/ -1 e)) (+ (* (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) (cos v) (/ (+ 1 e) (* e v)))
2.0ms	e	@	inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (+ (* (neg e) (cos v)) 1) (neg e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* e v) (/ 1 (/ (+ 1 e) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (+ 1 e) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (- (cos v) (/ -1 e))) (sin v) (- (cos v) (/ -1 e)) (+ (* (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) (cos v) (/ (+ 1 e) (* e v)))

simplify192.0ms (2.5%)

Memory

-13.4MiB live, 272.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	381	6360
1	1234	6165
2	3685	6059
0	9282	5813

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 425

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

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

rewrite120.0ms (1.5%)

Memory

-1.3MiB live, 227.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	220
0	56	211
1	213	207
2	1393	198
0	9531	198

Stop Event

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

Counts

20 → 735

Calls

Call 1

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

Outputs
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eval202.0ms (2.6%)

Memory: 34.4MiB live, 428.2MiB allocated
Compiler: Compiled 23 414 to 3 268 computations (86% saved)

prune72.0ms (0.9%)

Memory

-11.4MiB live, 228.6MiB allocated

Pruning

40 alts after pruning (34 fresh and 6 done)

	Pruned	Kept	Total
New	1 240	20	1 260
Fresh	5	14	19
Picked	2	3	5
Done	0	3	3
Total	1 247	40	1 287

Accuracy

100.0%

Counts

1 287 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.7%	(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))
	72.2%	(pow.f64 (pow.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	71.7%	(/.f64 (.f64 e (.f64 (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
	99.2%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) (*.f64 e e))))))
✓	99.2%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
▶	99.2%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))))
	41.0%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	41.1%	(/.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))))
	99.0%	(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
	97.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) e) (sin.f64 v)))
	42.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
	98.4%	(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)
	22.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) 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))))
	98.7%	#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)) #s(approx (cos v) #s(literal 1 binary64)))))
✓	98.2%	#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))))
	22.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (-.f64 #s(literal -1 binary64) e) e)))
	41.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
▶	40.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (*.f64 e v))))
	40.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
	22.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v)))
	22.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
	5.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v e) (.f64 v e))) (.f64 v e)))))
	40.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v))))
	40.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) e) v)))))
	41.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (-.f64 #s(literal -1 binary64) e) e))))
▶	40.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))))
	22.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
✓	99.3%	#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)))
	41.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) (fma.f64 e e #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) e)))
	60.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))
✓	41.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
	98.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
	41.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
	5.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v e) (.f64 v e))) (.f64 v e))))
▶	22.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (neg.f64 v) e)))
✓	41.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v)))
	65.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))

Compiler

Compiled 918 to 714 computations (22.2% saved)

simplify140.0ms (1.8%)

Memory

23.1MiB live, 140.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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)) #s(approx (+ 1 ( e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))))
cost-diff	1536	(.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))
cost-diff	0	(/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e))
cost-diff	0	(/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (*.f64 e v))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (*.f64 e v))))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (*.f64 e v)))
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) e) v)
cost-diff	0	#s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v)))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))))
cost-diff	0	(neg.f64 v)
cost-diff	0	(*.f64 (neg.f64 v) e)
cost-diff	0	#s(approx (* (/ e (+ e 1)) v) (*.f64 (neg.f64 v) e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (neg.f64 v) e)))
cost-diff	0	(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))
cost-diff	0	(sin.f64 v)
cost-diff	0	(/.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)))
cost-diff	0	#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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	319
0	71	319
1	113	313
2	176	309
3	324	309
4	776	309
5	1479	309
6	2714	291
7	4228	291
8	5934	291
0	8158	285

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

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

localize242.0ms (3.1%)

Memory

0.6MiB live, 240.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))
accuracy	0.01171875	(.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))
accuracy	0.13671875	(*.f64 e (sin.f64 v))
accuracy	0.3775127614374023	#s(approx (+ 1 (* e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))
accuracy	0.015625	(/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e))
accuracy	0.2265625	(/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (*.f64 e v))
accuracy	0.5580659076227246	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (*.f64 e v)))
accuracy	37.45218613629102	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (*.f64 e v))))
accuracy	0.21484375	(/.f64 (/.f64 #s(literal 1 binary64) e) v)
accuracy	0.5658784076227246	(/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v)))
accuracy	0.9002526770581719	#s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))
accuracy	37.196176571544015	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))))
accuracy	0	(*.f64 (neg.f64 v) e)
accuracy	0	(neg.f64 v)
accuracy	37.196176571544015	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (neg.f64 v) e)))
accuracy	50.69000104408105	#s(approx (* (/ e (+ e 1)) v) (*.f64 (neg.f64 v) e))
accuracy	0	#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))))
accuracy	0.00390625	(pow.f64 e #s(literal -1/4 binary64))
accuracy	0.26171875	(/.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)))
accuracy	0.3046875	(fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v))

Samples

137.0ms

256×

valid

Compiler

Compiled 457 to 73 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-pow: 51.0ms (43.8% of total)

ival-mult: 23.0ms (19.7% of total)

ival-div: 19.0ms (16.3% of total)

ival-sin: 7.0ms (6% of total)

ival-add: 6.0ms (5.1% of total)

ival-cos: 6.0ms (5.1% of total)

ival-sub: 2.0ms (1.7% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series211.0ms (2.7%)

Memory

0.4MiB live, 195.8MiB allocated

Counts

22 → 456

Calls

Call 1

Inputs
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)) (patch (fma.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal -3/4 binary64)) (cos.f64 v)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (neg.f64 v) e))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (neg.f64 v) e))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ e (+ e 1)) v) (.f64 (neg.f64 v) e)) (patch #s(approx ( (/ e (+ e 1)) v) (*.f64 (neg.f64 v) e)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 v) e) (patch (.f64 (neg.f64 v) e) #<representation binary64>) () ())
#s(alt (neg.f64 v) (patch (neg.f64 v) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v)))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v)) (patch #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) e) v) (patch (/.f64 (/.f64 #s(literal 1 binary64) e) v) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (.f64 e v))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (.f64 e v))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (.f64 e v)))) (patch #s(approx (/ ( e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (*.f64 e v)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (.f64 e v)) (patch (/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (.f64 e v)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (patch (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))) (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))) (patch (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e))))) #<representation binary64>) () ())
#s(alt (.f64 e (sin.f64 v)) (patch (.f64 e (sin.f64 v)) #<representation binary64>) () ())
#s(alt (pow.f64 e #s(literal -1/4 binary64)) (patch (pow.f64 e #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))) (patch #s(approx (+ 1 (* e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())

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

Calls

6 calls:

Time	Variable		Point	Expression
92.0ms	e	@	0	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v))) (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* (neg v) e) (neg v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ 1 (/ (+ 1 e) (* e v))) (/ (+ 1 e) (* e v)) (/ (/ 1 e) v) (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (/ (+ (* e e) 1) (- 1 e)) (* (- 1 (* e e)) (/ 1 (- 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (pow e -1/4) (+ 1 (* e (cos v))) (/ 1 (- 1 e)))
37.0ms	e	@	-inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v))) (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* (neg v) e) (neg v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ 1 (/ (+ 1 e) (* e v))) (/ (+ 1 e) (* e v)) (/ (/ 1 e) v) (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (/ (+ (* e e) 1) (- 1 e)) (* (- 1 (* e e)) (/ 1 (- 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (pow e -1/4) (+ 1 (* e (cos v))) (/ 1 (- 1 e)))
11.0ms	v	@	-inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v))) (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* (neg v) e) (neg v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ 1 (/ (+ 1 e) (* e v))) (/ (+ 1 e) (* e v)) (/ (/ 1 e) v) (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (/ (+ (* e e) 1) (- 1 e)) (* (- 1 (* e e)) (/ 1 (- 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (pow e -1/4) (+ 1 (* e (cos v))) (/ 1 (- 1 e)))
10.0ms	e	@	inf	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v))) (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* (neg v) e) (neg v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ 1 (/ (+ 1 e) (* e v))) (/ (+ 1 e) (* e v)) (/ (/ 1 e) v) (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (/ (+ (* e e) 1) (- 1 e)) (* (- 1 (* e e)) (/ 1 (- 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (pow e -1/4) (+ 1 (* e (cos v))) (/ 1 (- 1 e)))
4.0ms	v	@	0	((/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v))) (sin v) (+ (* (pow e -1/4) (pow e -3/4)) (cos v)) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* (/ e (+ e 1)) v) (* (neg v) e) (neg v) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ 1 (/ (+ 1 e) (* e v))) (/ (+ 1 e) (* e v)) (/ (/ 1 e) v) (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (/ (+ (* e e) 1) (- 1 e)) (* (- 1 (* e e)) (/ 1 (- 1 e))) (/ (* e (sin v)) (+ 1 (* e (cos v)))) (* e (sin v)) (pow e -1/4) (+ 1 (* e (cos v))) (/ 1 (- 1 e)))

simplify311.0ms (4%)

Memory

-4.2MiB live, 343.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	433	6148
1	1335	5990
2	3772	5894
0	8275	5636

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 449

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))))
(/ 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))))
(+ 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))))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(/ (* e v) (+ 1 e))
(* -1 (* e v))
(* -1 (* e v))
(* -1 (* e v))
(* -1 (* e v))
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(/ -1 v)
(* -1 (+ (/ 1 v) (/ 1 (* e v))))
(- (* -1 (/ (+ (/ 1 v) (* 2 (/ 1 (* e v)))) e)) (/ 1 v))
(- (* -1 (/ (+ (/ 1 v) (+ (/ 2 (* e v)) (/ 2 (* (pow e 2) v)))) e)) (/ 1 v))
(* -1 e)
(* -1 (* e (+ 1 (/ 1 e))))
(* -1 (* e (+ 1 (+ (/ 1 e) (/ 2 (pow e 2))))))
(* -1 (* e (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 e))) e)) 1) 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))
(exp (* 1/4 (+ (log -1) (log (/ -1 e)))))
(exp (* 1/4 (+ (log -1) (log (/ -1 e)))))
(exp (* 1/4 (+ (log -1) (log (/ -1 e)))))
(exp (* 1/4 (+ (log -1) (log (/ -1 e)))))
(* e (cos v))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(* -1 (* e (- (* -1 (cos v)) (/ 1 e))))
(/ -1 e)
(* -1 (/ (+ 1 (/ 1 e)) e))
(* -1 (/ (+ 1 (+ (/ 1 e) (/ 1 (pow e 2)))) e))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 e)) e)) 1) e))) e))

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

rewrite781.0ms (10.1%)

Memory

-63.1MiB live, 249.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	273
0	71	240
1	269	236
2	1880	236
0	8455	230

Stop Event

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

Counts

22 → 609

Calls

Call 1

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

Outputs
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eval144.0ms (1.9%)

Memory: 3.8MiB live, 387.7MiB allocated
Compiler: Compiled 19 263 to 2 930 computations (84.8% saved)

prune67.0ms (0.9%)

Memory

-9.0MiB live, 230.6MiB allocated

Pruning

49 alts after pruning (40 fresh and 9 done)

	Pruned	Kept	Total
New	1 055	19	1 074
Fresh	8	21	29
Picked	2	3	5
Done	0	6	6
Total	1 065	49	1 114

Accuracy

100.0%

Counts

1 114 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.2%	(pow.f64 (pow.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	71.7%	(/.f64 (.f64 e (.f64 (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))
✓	99.2%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	98.8%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(approx (/ 1 (- 1 e)) (+.f64 #s(literal 1 binary64) e)))))
	98.4%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(approx (/ 1 (- 1 e)) #s(literal 1 binary64)))))
	41.0%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) e)) (.f64 v v) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 e #s(literal 1 binary64))))
	41.1%	(/.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))))
	99.0%	(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
	97.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) e) (sin.f64 v)))
	42.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 (cos.f64 v) e #s(literal 1 binary64))) e)
	98.4%	(.f64 #s(approx (/ (sin v) (+ ( (cos v) e) 1)) (sin.f64 v)) e)
	22.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)))
	99.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/8 binary64)) (pow.f64 e #s(literal -7/8 binary64)) (cos.f64 v))))
✓	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))))
	98.7%	#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)) #s(approx (cos v) #s(literal 1 binary64)))))
✓	98.2%	#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))))
	22.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (-.f64 #s(literal -1 binary64) e) e)))
	41.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
	22.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) e) e) v)))
	22.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) e) (*.f64 v e))))
	5.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v e) (.f64 v e))) (.f64 v e)))))
	40.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) e #s(literal 2 binary64)) e #s(literal 1 binary64)) e #s(literal 1 binary64))) (*.f64 e v))))
	40.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (fma.f64 #s(literal 2 binary64) e #s(literal 1 binary64)) e #s(literal 1 binary64))) (*.f64 e v))))
	23.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) e) #s(literal 2 binary64)) e)) e) e (neg.f64 e))) (*.f64 e v))))
	23.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) e) #s(literal 1 binary64)) e)) e)) (.f64 e v))))
	40.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) #s(literal 1 binary64)) (*.f64 e v))))
	23.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (-.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) v) e) (/.f64 #s(literal 1 binary64) v)) e)))))
	23.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) e) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) v) e) (/.f64 #s(literal 2 binary64) v)) (*.f64 e e))))))
✓	40.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))))
	40.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 e)))))
	40.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) v))))))
	40.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) e)))))
	22.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
✓	99.3%	#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)))
	60.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))
✓	41.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
	98.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))
	41.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (*.f64 (fma.f64 (neg.f64 e) (fma.f64 v e v) v) e)))
	41.5%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
	3.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (neg.f64 v)))
	5.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v e) (.f64 v e))) (.f64 v e))))
	21.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (/.f64 (neg.f64 (.f64 v v)) v) e)))
	21.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 v (neg.f64 (.f64 v v)))) e)))
	22.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)) e)))
✓	22.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (neg.f64 v) e)))
✓	41.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 e v)))
	65.1%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))

Compiler

Compiled 1 481 to 814 computations (45% saved)

regimes65.0ms (0.8%)

Memory

16.7MiB live, 171.7MiB allocated

Counts

71 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (neg.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 (neg.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 e v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (*.f64 (fma.f64 (neg.f64 e) (fma.f64 v e v) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (/.f64 (neg.f64 (.f64 v v)) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (-.f64 #s(literal -1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) (fma.f64 e e #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 v (neg.f64 (.f64 v v)))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v e) (.f64 v e))) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 e)))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 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) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.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 (-.f64 #s(literal 1 binary64) e) v) e)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (fma.f64 #s(literal 2 binary64) e #s(literal 1 binary64)) e #s(literal 1 binary64))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (-.f64 #s(literal -1 binary64) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) e #s(literal 2 binary64)) e #s(literal 1 binary64)) e #s(literal 1 binary64))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (*.f64 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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v e) (.f64 v e))) (.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) e) #s(literal 1 binary64)) e)) e)) (.f64 e v))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (-.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) v) e) (/.f64 #s(literal 1 binary64) v)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) e) #s(literal 2 binary64)) e)) e) e (neg.f64 e))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) e) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) v) e) (/.f64 #s(literal 2 binary64) v)) (*.f64 e e))))))
#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)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.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) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(approx (/ 1 (- 1 e)) #s(literal 1 binary64)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(approx (/ 1 (- 1 e)) (+.f64 #s(literal 1 binary64) e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) e) (sin.f64 v)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) (*.f64 e 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 (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 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 v) e #s(literal 1 binary64)) e) (sin.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)) #s(approx (cos v) #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (+ (* (neg e) (cos v)) 1) (* (sin v) e)) (.f64 (-.f64 (/.f64 (sin.f64 v) e) (.f64 (cos.f64 v) (sin.f64 v))) (*.f64 e e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (sin.f64 v) (fma.f64 (pow.f64 e #s(literal -1/8 binary64)) (pow.f64 e #s(literal -7/8 binary64)) (cos.f64 v))))
(pow.f64 (pow.f64 (*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(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))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 (sin.f64 v) (-.f64 (pow.f64 (cos.f64 v) #s(literal 2 binary64)) (pow.f64 e #s(literal -2 binary64)))) (-.f64 (cos.f64 v) (pow.f64 e #s(literal -1 binary64)))))
(/.f64 (.f64 e (.f64 (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 v) #s(literal -1 binary64)) #s(literal -1/2 binary64)))) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes55.0ms (0.7%)

Memory

-10.6MiB live, 146.6MiB allocated

Counts

56 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (neg.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 (neg.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 e v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (*.f64 (fma.f64 (neg.f64 e) (fma.f64 v e v) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (/.f64 (neg.f64 (.f64 v v)) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (-.f64 #s(literal -1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) (fma.f64 e e #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 v (neg.f64 (.f64 v v)))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v e) (.f64 v e))) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 e)))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 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) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.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 (-.f64 #s(literal 1 binary64) e) v) e)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (fma.f64 #s(literal 2 binary64) e #s(literal 1 binary64)) e #s(literal 1 binary64))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (-.f64 #s(literal -1 binary64) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) e #s(literal 2 binary64)) e #s(literal 1 binary64)) e #s(literal 1 binary64))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (*.f64 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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v e) (.f64 v e))) (.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) e) #s(literal 1 binary64)) e)) e)) (.f64 e v))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (-.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) v) e) (/.f64 #s(literal 1 binary64) v)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) e) #s(literal 2 binary64)) e)) e) e (neg.f64 e))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) e) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) v) e) (/.f64 #s(literal 2 binary64) v)) (*.f64 e e))))))
#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)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.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) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(approx (/ 1 (- 1 e)) #s(literal 1 binary64)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(approx (/ 1 (- 1 e)) (+.f64 #s(literal 1 binary64) e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) e) (sin.f64 v)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) (*.f64 e 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)))

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:

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
99.3%	1	`e`
99.3%	1	`v`
99.3%	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)

regimes105.0ms (1.4%)

Memory

20.5MiB live, 145.2MiB allocated

Counts

55 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (neg.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 (neg.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 e v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (*.f64 (fma.f64 (neg.f64 e) (fma.f64 v e v) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (/.f64 (neg.f64 (.f64 v v)) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (-.f64 #s(literal -1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) (fma.f64 e e #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 v (neg.f64 (.f64 v v)))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v e) (.f64 v e))) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 e)))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 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) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.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 (-.f64 #s(literal 1 binary64) e) v) e)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (fma.f64 #s(literal 2 binary64) e #s(literal 1 binary64)) e #s(literal 1 binary64))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (-.f64 #s(literal -1 binary64) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) e #s(literal 2 binary64)) e #s(literal 1 binary64)) e #s(literal 1 binary64))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (*.f64 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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v e) (.f64 v e))) (.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) e) #s(literal 1 binary64)) e)) e)) (.f64 e v))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (-.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) v) e) (/.f64 #s(literal 1 binary64) v)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) e) #s(literal 2 binary64)) e)) e) e (neg.f64 e))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) e) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) v) e) (/.f64 #s(literal 2 binary64) v)) (*.f64 e e))))))
#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)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.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) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(approx (/ 1 (- 1 e)) #s(literal 1 binary64)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(approx (/ 1 (- 1 e)) (+.f64 #s(literal 1 binary64) e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) e) (sin.f64 v)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) e)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) e) (-.f64 #s(literal 1 binary64) (*.f64 e e))))))

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

Calls

3 calls:

36.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
36.0ms	e
30.0ms	v

Results

Accuracy	Segments	Branch
99.2%	1	`e`
99.2%	1	`v`
99.2%	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)

regimes55.0ms (0.7%)

Memory

5.8MiB live, 122.4MiB allocated

Counts

53 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (neg.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 (neg.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 e v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (*.f64 (fma.f64 (neg.f64 e) (fma.f64 v e v) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (/.f64 (neg.f64 (.f64 v v)) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (-.f64 #s(literal -1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) (fma.f64 e e #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 v (neg.f64 (.f64 v v)))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v e) (.f64 v e))) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 e)))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 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) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.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 (-.f64 #s(literal 1 binary64) e) v) e)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (fma.f64 #s(literal 2 binary64) e #s(literal 1 binary64)) e #s(literal 1 binary64))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (-.f64 #s(literal -1 binary64) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) e #s(literal 2 binary64)) e #s(literal 1 binary64)) e #s(literal 1 binary64))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (*.f64 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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v e) (.f64 v e))) (.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) e) #s(literal 1 binary64)) e)) e)) (.f64 e v))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (-.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) v) e) (/.f64 #s(literal 1 binary64) v)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) e) #s(literal 2 binary64)) e)) e) e (neg.f64 e))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) e) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) v) e) (/.f64 #s(literal 2 binary64) v)) (*.f64 e e))))))
#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)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.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) #s(approx (- (cos v) (/ -1 e)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sin.f64 v)))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(approx (/ 1 (- 1 e)) #s(literal 1 binary64)))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 e e)) #s(approx (/ 1 (- 1 e)) (+.f64 #s(literal 1 binary64) e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* (cos v) e) 1) #s(literal 1 binary64)) e) (sin.f64 v)))

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

Calls

3 calls:

19.0ms	v
17.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
16.0ms	e

Results

Accuracy	Segments	Branch
99.2%	1	`e`
99.2%	1	`v`
99.2%	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)

regimes48.0ms (0.6%)

Memory

3.8MiB live, 124.2MiB allocated

Counts

47 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (neg.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 (neg.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 e v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (*.f64 (fma.f64 (neg.f64 e) (fma.f64 v e v) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (/.f64 (neg.f64 (.f64 v v)) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (-.f64 #s(literal -1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) (fma.f64 e e #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 v (neg.f64 (.f64 v v)))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v e) (.f64 v e))) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 e)))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 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) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.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 (-.f64 #s(literal 1 binary64) e) v) e)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (fma.f64 #s(literal 2 binary64) e #s(literal 1 binary64)) e #s(literal 1 binary64))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (-.f64 #s(literal -1 binary64) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) e #s(literal 2 binary64)) e #s(literal 1 binary64)) e #s(literal 1 binary64))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (*.f64 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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v e) (.f64 v e))) (.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) e) #s(literal 1 binary64)) e)) e)) (.f64 e v))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (-.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) v) e) (/.f64 #s(literal 1 binary64) v)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) e) #s(literal 2 binary64)) e)) e) e (neg.f64 e))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) e) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) v) e) (/.f64 #s(literal 2 binary64) v)) (*.f64 e e))))))
#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)
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (+ ( (neg e) (cos v)) 1) (-.f64 #s(literal 1 binary64) e)) (*.f64 (sin.f64 v) e)))

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

Calls

3 calls:

16.0ms	e
15.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
15.0ms	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 (0.6%)

Memory

-1.7MiB live, 114.6MiB allocated

Counts

46 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (neg.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 (neg.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 e v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (*.f64 (fma.f64 (neg.f64 e) (fma.f64 v e v) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (/.f64 (neg.f64 (.f64 v v)) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (-.f64 #s(literal -1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) (fma.f64 e e #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 v (neg.f64 (.f64 v v)))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v e) (.f64 v e))) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 e)))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 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) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.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 (-.f64 #s(literal 1 binary64) e) v) e)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (fma.f64 #s(literal 2 binary64) e #s(literal 1 binary64)) e #s(literal 1 binary64))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (-.f64 #s(literal -1 binary64) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) e #s(literal 2 binary64)) e #s(literal 1 binary64)) e #s(literal 1 binary64))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (*.f64 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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v e) (.f64 v e))) (.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) e) #s(literal 1 binary64)) e)) e)) (.f64 e v))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (-.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) v) e) (/.f64 #s(literal 1 binary64) v)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) e) #s(literal 2 binary64)) e)) e) e (neg.f64 e))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) e) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) v) e) (/.f64 #s(literal 2 binary64) v)) (*.f64 e e))))))
#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	e
14.0ms	v
13.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
98.4%	1	`e`
98.4%	1	`v`
98.4%	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)

regimes47.0ms (0.6%)

Memory

-13.2MiB live, 101.0MiB allocated

Counts

44 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (neg.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 (neg.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 e v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (*.f64 (fma.f64 (neg.f64 e) (fma.f64 v e v) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (/.f64 (neg.f64 (.f64 v v)) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (-.f64 #s(literal -1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) (fma.f64 e e #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 v (neg.f64 (.f64 v v)))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v e) (.f64 v e))) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 e)))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 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) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.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 (-.f64 #s(literal 1 binary64) e) v) e)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (fma.f64 #s(literal 2 binary64) e #s(literal 1 binary64)) e #s(literal 1 binary64))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (-.f64 #s(literal -1 binary64) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) e #s(literal 2 binary64)) e #s(literal 1 binary64)) e #s(literal 1 binary64))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (*.f64 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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v e) (.f64 v e))) (.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) e) #s(literal 1 binary64)) e)) e)) (.f64 e v))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (/.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (*.f64 v v) (+.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (-.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) v) e) (/.f64 #s(literal 1 binary64) v)) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) e) #s(literal 2 binary64)) e)) e) e (neg.f64 e))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* e e) 1) (- 1 e)) (* e v)) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) e) (/.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) v) e) (/.f64 #s(literal 2 binary64) v)) (*.f64 e e))))))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
42.5%	1	`e`
42.5%	1	`v`
42.5%	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)

regimes48.0ms (0.6%)

Memory

4.4MiB live, 85.0MiB allocated

Counts

40 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (neg.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 (neg.f64 v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (-.f64 v (.f64 e v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (+ 1 e) (* e v))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (.f64 (.f64 (-.f64 #s(literal 1 binary64) e) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 #s(approx (/ e (+ e 1)) (.f64 (-.f64 #s(literal 1 binary64) e) e)) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ 1 (/ (/ (+ (* e e) 1) (- 1 e)) (* e v))) (*.f64 (fma.f64 (neg.f64 e) (fma.f64 v e v) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 #s(approx (/ e (+ e 1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (/.f64 e (+.f64 e #s(literal 1 binary64))) v))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (-.f64 #s(literal -1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (/.f64 (neg.f64 (.f64 v v)) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (+.f64 #s(literal 1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 v (/.f64 (-.f64 #s(literal -1 binary64) e) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 e) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) #s(literal 1 binary64)) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (/.f64 (.f64 v e) (fma.f64 e e #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal 1 binary64) e) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (.f64 (/.f64 #s(literal 1 binary64) (/.f64 v (neg.f64 (.f64 v v)))) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (* (/ e (+ e 1)) v) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v e) (.f64 v e))) (.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 e)))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 (.f64 v v) e) #s(literal -1/6 binary64) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 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) v) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.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 (-.f64 #s(literal 1 binary64) e) v) e)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* (cos v) e) 1) e) (sin v)) (/.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) e) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (fma.f64 #s(literal 2 binary64) e #s(literal 1 binary64)) e #s(literal 1 binary64))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (-.f64 #s(literal -1 binary64) e) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) e #s(literal 2 binary64)) e #s(literal 1 binary64)) e #s(literal 1 binary64))) (*.f64 e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ 1 e) (* e v)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 e (/.f64 (-.f64 #s(literal 1 binary64) e) v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 e e #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) e)) (*.f64 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))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) e) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 v e) (.f64 v e))) (.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* e e) 1) (- 1 e)) (.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) e) #s(literal 1 binary64)) e)) e)) (.f64 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:

21.0ms	v
13.0ms	e
11.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
41.9%	1	`v`
41.9%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
41.9%	1	`e`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes15.0ms (0.2%)

Memory

-3.0MiB live, 33.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	e
4.0ms	v
4.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))

Results

Accuracy	Segments	Branch
41.5%	1	`e`
41.5%	1	`v`
41.5%	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)

regimes7.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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
41.1%	1	`e`
41.1%	1	`v`
41.1%	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)

regimes6.0ms (0.1%)

Memory

-23.2MiB live, 14.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	e
1.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
1.0ms	v

Results

Accuracy	Segments	Branch
3.4%	1	`e`
3.4%	1	`v`
3.4%	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)

simplify27.0ms (0.4%)

Memory

34.5MiB live, 72.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	247
1	103	247
2	119	247
3	125	247
4	127	247

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

soundness1.1s (14.8%)

Memory

6.0MiB live, 1 113.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	155
0	46	149
1	178	149
2	1091	149
0	8607	149
0	38	220
0	56	211
1	213	207
2	1393	198
0	9531	198
0	9	29
0	15	29
1	42	29
2	241	29
3	2097	29
0	8370	27
0	433	6148
1	1335	5990
2	3772	5894
0	8275	5636
0	424	6123
1	1331	5963
2	3865	5909
0	8250	5590
0	195	1209
1	584	1194
2	1652	1162
3	4899	1089
0	8542	1013
0	381	6360
1	1234	6165
2	3685	6059
0	9282	5813

Stop Event

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

Compiler

Compiled 266 to 166 computations (37.6% saved)

preprocess135.0ms (1.8%)

Memory: 12.9MiB live, 371.0MiB allocated
Remove: (negabs v)
Compiler: Compiled 404 to 248 computations (38.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze14.0ms (0.2%)

sample1.4s (18.6%)

explain133.0ms (1.7%)

preprocess76.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize45.0ms (0.6%)

series17.0ms (0.2%)

simplify205.0ms (2.6%)

rewrite199.0ms (2.6%)

eval59.0ms (0.8%)

prune13.0ms (0.2%)

simplify170.0ms (2.2%)

localize111.0ms (1.4%)

series39.0ms (0.5%)

simplify162.0ms (2.1%)

rewrite166.0ms (2.1%)

eval229.0ms (3%)

prune60.0ms (0.8%)

simplify153.0ms (2%)

localize112.0ms (1.4%)

series38.0ms (0.5%)

simplify192.0ms (2.5%)

rewrite120.0ms (1.5%)

eval202.0ms (2.6%)

prune72.0ms (0.9%)

simplify140.0ms (1.8%)

localize242.0ms (3.1%)

series211.0ms (2.7%)

simplify311.0ms (4%)

rewrite781.0ms (10.1%)

eval144.0ms (1.9%)

prune67.0ms (0.9%)

regimes65.0ms (0.8%)

regimes55.0ms (0.7%)

regimes105.0ms (1.4%)

regimes55.0ms (0.7%)

regimes48.0ms (0.6%)

regimes45.0ms (0.6%)

regimes47.0ms (0.6%)

regimes48.0ms (0.6%)

regimes15.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

simplify27.0ms (0.4%)

soundness1.1s (14.8%)

preprocess135.0ms (1.8%)

end0.0ms (0%)

Profiling