Metrics for Trigonometry A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze7.0ms (0.1%)

Memory

-20.0MiB live, 19.6MiB 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)

sample1.2s (15%)

Memory

24.6MiB live, 2 802.0MiB allocated

Samples

901.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 690.0ms

ival-sin: 242.0ms (35.1% of total)

ival-cos: 166.0ms (24.1% of total)

ival-mult: 127.0ms (18.4% of total)

ival-div: 48.0ms (7% of total)

ival-<=: 42.0ms (6.1% of total)

ival-add: 39.0ms (5.7% of total)

ival-and: 12.0ms (1.7% of total)

exact: 11.0ms (1.6% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain121.0ms (1.5%)

Memory

10.5MiB live, 255.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

56.0ms

512×

valid

Compiler

Compiled 81 to 31 computations (61.7% saved)

Precisions

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

ival-cos: 11.0ms (30.5% of total)

ival-sin: 11.0ms (30.5% of total)

ival-mult: 8.0ms (22.2% of total)

ival-div: 3.0ms (8.3% of total)

ival-add: 3.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess73.0ms (0.9%)

Memory

5.3MiB live, 44.0MiB allocated

Algorithm

1×	egg-herbie

Rules

524×	`times-frac`
318×	`distribute-lft-neg-in`
308×	`distribute-rgt-in`
302×	`associate-r`
292×	`associate-l`

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

Symmetry

(negabs v)

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB 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 13 to 9 computations (30.8% saved)

simplify4.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 v)
cost-diff	0	(*.f64 e (sin.f64 v))
cost-diff	0	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))

Rules

16×	`lower-*.f32`
12×	`lower-*.f64`
8×	`*-commutative`
6×	`lower-/.f32`
4×	`associate-/l*`

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

localize39.0ms (0.5%)

Memory

-12.3MiB live, 72.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(cos.f64 v)
accuracy	0.0078125	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
accuracy	0.12109375	(*.f64 e (cos.f64 v))
accuracy	0.1328125	(*.f64 e (sin.f64 v))

Samples

30.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-cos: 6.0ms (30.6% of total)

ival-sin: 6.0ms (30.6% of total)

ival-mult: 5.0ms (25.5% of total)

ival-div: 1.0ms (5.1% of total)

ival-add: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-15.4MiB live, 23.3MiB 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 (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 (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 (* 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 (+ 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 (+ 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 (+ 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)) (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 (/ (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 (/ (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 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 (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)) (+ 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 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 (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 (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 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 (* 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 (* 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 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 (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 (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 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 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 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 (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 (* 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 (* e (cos v)) (taylor -inf v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt (* e (cos v)) (taylor -inf v) (#s(alt (.f64 e (cos.f64 v)) (patch (.f64 e (cos.f64 v)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 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 (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 (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>) () ())) ())

Calls

30 calls:

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

simplify268.0ms (3.3%)

Memory

18.2MiB live, 453.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 120×	`lower-fma.f64`
14 120×	`lower-fma.f32`
5 646×	`lower-*.f64`
5 646×	`lower-*.f32`
3 948×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	1209
1	584	1194
2	1652	1162
3	4907	1089
0	8039	1013

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 118

Calls

Call 1

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

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

rewrite263.0ms (3.2%)

Memory

14.9MiB live, 443.2MiB allocated

Rules

5 798×	`lower-fma.f64`
5 798×	`lower-fma.f32`
4 350×	`lower-/.f32`
4 348×	`lower-/.f64`
3 988×	`lower-*.f32`

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
(+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 e (cos.f64 v)))))
(+.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (neg.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(+.f64 (neg.f64 (neg.f64 (*.f64 e (cos.f64 v)))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 e (cos.f64 v))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log1p.f64 (.f64 e (cos.f64 v))) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 e (cos.f64 v)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (/.f64 (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v))))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (/.f64 (.f64 e e) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(.f64 #s(literal 1 binary64) (/.f64 (.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (sin.f64 v) (.f64 (neg.f64 e) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(.f64 (.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))
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(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (.f64 e (sin.f64 v)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))) (/.f64 (.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (*.f64 e e)) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 e (sin.f64 v)) (-.f64 #s(literal -1 binary64) (*.f64 e (cos.f64 v)))))
(.f64 (neg.f64 (sin.f64 v)) (.f64 e (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(.f64 (neg.f64 (sin.f64 v)) (/.f64 e (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (.f64 (sin.f64 v) (neg.f64 e)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 e (sin.f64 v))) #s(literal -1 binary64)))
(.f64 (neg.f64 e) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(.f64 (neg.f64 e) (.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (.f64 e (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 e (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))) #s(literal -1 binary64)))
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(.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))))
(.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (.f64 (fma.f64 (cos.f64 v) (.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)) e))
(.f64 (/.f64 (sin.f64 v) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) e) #s(literal -1 binary64)))
(.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))))
(.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))) e))
(.f64 (/.f64 (sin.f64 v) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) e) #s(literal -1 binary64)))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (sin.f64 v))
(*.f64 (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v)))) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (/.f64 e (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64)))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 e (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))))
(.f64 (/.f64 e #s(literal -1 binary64)) (/.f64 (sin.f64 v) (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(.f64 (/.f64 (sin.f64 v) #s(literal -1 binary64)) (/.f64 e (-.f64 #s(literal -1 binary64) (.f64 e (cos.f64 v)))))
(*.f64 (/.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 e #s(literal 1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 e (sin.f64 v)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(.f64 (.f64 #s(literal 1 binary64) (sin.f64 v)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (sin.f64 v) (neg.f64 e))) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cos.f64 v) (.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (sin.f64 v) (neg.f64 e)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v)))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 e (sin.f64 v)) (fma.f64 (.f64 e e) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) #s(literal -1 binary64))) (fma.f64 e (cos.f64 v) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 e (sin.f64 v))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 e (cos.f64 v)) #s(literal 3 binary64))) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 v) (*.f64 e (fma.f64 e (cos.f64 v) #s(literal -1 binary64))) #s(literal 1 binary64))) (sin.f64 v)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 v v)))) (neg.f64 (.f64 e e)) #s(literal 1 binary64)) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))) (sin.f64 v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) e) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 (sin.f64 v))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 v)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (neg.f64 e)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 v) (neg.f64 e)))
(neg.f64 (*.f64 (sin.f64 v) (neg.f64 e)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (sin.f64 v) (neg.f64 e)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 e (sin.f64 v)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (sin.f64 v) (neg.f64 e))))))
(.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
(*.f64 e (neg.f64 (neg.f64 (sin.f64 v))))
(.f64 e (.f64 (sin.f64 v) #s(literal 1 binary64)))
(*.f64 (sin.f64 v) e)
(*.f64 (sin.f64 v) (neg.f64 (neg.f64 e)))
(.f64 (.f64 e (sin.f64 v)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (sin.f64 v) (neg.f64 e)))
(*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e))
(*.f64 (neg.f64 e) (neg.f64 (sin.f64 v)))
(*.f64 (neg.f64 (neg.f64 (sin.f64 v))) e)
(*.f64 (neg.f64 (neg.f64 e)) (sin.f64 v))
(sin.f64 v)
(exp.f64 (log.f64 (*.f64 e (cos.f64 v))))
(exp.f64 (.f64 (log.f64 (.f64 e (cos.f64 v))) #s(literal 1 binary64)))
(pow.f64 (*.f64 e (cos.f64 v)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v)))
(*.f64 e (cos.f64 v))
(*.f64 (cos.f64 v) e)
(.f64 (.f64 e (cos.f64 v)) #s(literal 1 binary64))
(*.f64 (pow.f64 e #s(literal 1 binary64)) (pow.f64 (cos.f64 v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 v) #s(literal 1 binary64)) (pow.f64 e #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (cos.f64 v))) (exp.f64 (log.f64 e)))
(*.f64 (exp.f64 (log.f64 e)) (exp.f64 (log.f64 (cos.f64 v))))
(cos.f64 v)
(*.f64 #s(literal 1 binary64) (cos.f64 v))
(*.f64 (cos.f64 v) #s(literal 1 binary64))

eval57.0ms (0.7%)

Memory: 5.5MiB live, 121.1MiB allocated
Compiler: Compiled 13 630 to 1 268 computations (90.7% saved)

prune122.0ms (1.5%)

Memory

-8.0MiB live, 166.9MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	452	13	465
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	453	13	466

Accuracy

99.9%

Counts

466 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.5%	(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	17.6%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (sin.f64 v) (neg.f64 e)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 e (sin.f64 v)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (sin.f64 v) (neg.f64 e)))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
▶	99.8%	(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
▶	99.1%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	53.7%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) e))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
	99.6%	(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
	98.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
▶	99.7%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
▶	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
▶	53.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
	99.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
	53.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
	98.4%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))

Compiler

Compiled 424 to 256 computations (39.6% saved)

simplify291.0ms (3.5%)

Memory

-16.8MiB live, 251.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(literal 1 binary64) e)
cost-diff	0	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
cost-diff	7168	(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))
cost-diff	0	(fma.f64 (cos.f64 v) 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)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
cost-diff	0	(sin.f64 v)
cost-diff	0	(*.f64 e (sin.f64 v))
cost-diff	0	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
cost-diff	0	(+.f64 #s(literal 1 binary64) e)
cost-diff	0	(*.f64 e v)
cost-diff	0	(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
cost-diff	0	(fma.f64 e (cos.f64 v) #s(literal 1 binary64))
cost-diff	0	(sin.f64 v)
cost-diff	0	(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
cost-diff	0	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)

Rules

6 216×	`lower-*.f32`
6 208×	`lower-*.f64`
3 384×	`cube-prod`
2 772×	`lower-pow.f32`
2 770×	`lower-pow.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	27	171
0	44	160
1	67	160
2	84	160
3	137	160
4	200	160
5	334	156
6	394	156
7	438	156
8	581	156
9	1328	156
10	2052	156
11	2205	156
12	2417	156
13	2696	156
14	3074	156
15	3522	156
16	4045	156
17	4699	156
18	4976	156
19	5151	156
20	5288	156
21	5404	156
22	5520	156
23	6213	156
24	7275	156
25	7729	156
26	7816	156
27	7903	156
28	7990	156
0	8008	156

Stop Event

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

Calls

Call 1

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

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

localize93.0ms (1.1%)

Memory

36.7MiB live, 196.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(cos.f64 v)
accuracy	0.015625	(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
accuracy	0.140625	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
accuracy	0.1640625	(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))
accuracy	0	(sin.f64 v)
accuracy	0.00390625	(cos.f64 v)
accuracy	0.0078125	(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
accuracy	0.1328125	(*.f64 e (sin.f64 v))
accuracy	0	(sin.f64 v)
accuracy	0.0078125	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
accuracy	0.1328125	(*.f64 e (sin.f64 v))
accuracy	0.468125370375948	#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
accuracy	0	(+.f64 #s(literal 1 binary64) e)
accuracy	0	(*.f64 e v)
accuracy	0.01171875	(/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e))
accuracy	29.47239703988377	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
accuracy	0	(sin.f64 v)
accuracy	0.00390625	(cos.f64 v)
accuracy	0.015625	(/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
accuracy	0.140625	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)

Samples

60.0ms

256×

valid

Compiler

Compiled 165 to 24 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-add: 11.0ms (26.6% of total)

ival-mult: 9.0ms (21.8% of total)

ival-div: 7.0ms (16.9% of total)

ival-sin: 6.0ms (14.5% of total)

ival-cos: 5.0ms (12.1% of total)

ival-pow: 2.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory

-43.4MiB live, 44.3MiB allocated

Counts

17 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
3.0ms	v	@	0	(* (/ (sin v) (+ (* e (cos v)) 1)) e)
1.0ms	v	@	0	(/ (sin v) (+ (* e (cos v)) 1))
1.0ms	v	@	0	(/ (* e v) (+ 1 e))
1.0ms	e	@	-inf	(/ (* e v) (+ 1 e))
1.0ms	v	@	inf	(/ (* e v) (+ 1 e))

simplify296.0ms (3.6%)

Memory

30.7MiB live, 495.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 278×	`lower-fma.f64`
11 278×	`lower-fma.f32`
5 778×	`lower-*.f64`
5 778×	`lower-*.f32`
4 170×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	295	4952
1	918	4828
2	2676	4662
0	8451	4380

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 331

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

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

rewrite268.0ms (3.3%)

Memory

5.9MiB live, 525.3MiB allocated

Rules

4 404×	`lower-*.f32`
4 396×	`lower-*.f64`
4 064×	`lower-fma.f32`
4 060×	`lower-fma.f64`
3 858×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	125
0	44	118
1	162	114
2	783	114
3	7743	114
0	8297	114

Stop Event

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

Counts

17 → 1 261

Calls

Call 1

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

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

eval262.0ms (3.2%)

Memory: 31.9MiB live, 658.2MiB allocated
Compiler: Compiled 47 143 to 2 642 computations (94.4% saved)

prune322.0ms (3.9%)

Memory

-43.4MiB live, 642.9MiB allocated

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	2 036	25	2 061
Fresh	5	3	8
Picked	2	3	5
Done	0	0	0
Total	2 043	31	2 074

Accuracy

100.0%

Counts

2 074 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.5%	(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	98.7%	(/.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	98.5%	(/.f64 (.f64 (pow.f64 e #s(literal 1/4 binary64)) (.f64 (pow.f64 e #s(literal 1/4 binary64)) (.f64 (sin.f64 v) (sqrt.f64 e)))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	98.6%	(/.f64 (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
✓	99.8%	(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
	99.0%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64))))))
	53.7%	(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	53.7%	(/.f64 (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
▶	99.0%	(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) e))
▶	53.7%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	53.7%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
▶	53.7%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	98.9%	(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
▶	99.3%	(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
	99.1%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
	98.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (sqrt.f64 e)) (*.f64 (sin.f64 v) (sqrt.f64 e)))
	99.1%	(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) e)
	98.4%	(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (sin.f64 v)) e)
	53.7%	#s(approx (/ (* e (sin v)) (+ (* (cos v) e) 1)) (.f64 v (fma.f64 v (.f64 v (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
	53.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 (.f64 v (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 #s(literal 1 binary64) e)))
	53.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v #s(literal 1 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
✓	53.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
	53.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
	53.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
	52.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal -1 binary64) e))))
	99.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
	53.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
	2.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
	53.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v)))))
▶	53.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))

Compiler

Compiled 948 to 534 computations (43.7% saved)

simplify254.0ms (3.1%)

Memory

2.5MiB live, 358.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
cost-diff	0	(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) e)
cost-diff	0	(sin.f64 v)
cost-diff	384	(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) e))
cost-diff	0	(.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))
cost-diff	0	#s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e)))
cost-diff	0	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
cost-diff	320	(fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64)))
cost-diff	0	(fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)
cost-diff	0	(.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
cost-diff	0	#s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)))
cost-diff	0	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
cost-diff	0	(*.f64 e v)
cost-diff	0	#s(approx (/ (* e v) (+ 1 e)) (*.f64 e v))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 e))
cost-diff	0	(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
cost-diff	1984	(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e))
cost-diff	7168	(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64))

Rules

14 628×	`lower-fma.f32`
14 618×	`lower-fma.f64`
4 236×	`lower-*.f32`
4 220×	`lower-*.f64`
2 664×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	387
0	78	419
1	146	354
2	342	351
3	1074	348
4	2403	348
5	5070	348
6	6291	348
7	6573	348
8	6573	348
9	6573	348
10	7746	348
0	8246	337

Stop Event

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

Calls

Call 1

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

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

localize140.0ms (1.7%)

Memory

24.7MiB live, 264.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 v)
accuracy	0.0234375	(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) e)
accuracy	0.1875	(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) e))
accuracy	0.468125370375948	#s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))
accuracy	0.28515625	(*.f64 e #s(literal -1/6 binary64))
accuracy	0.4681253703759479	#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
accuracy	7.1154977107295165	(.f64 e (.f64 v v))
accuracy	29.631486698144382	#s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e)))
accuracy	0.2109375	(.f64 (.f64 v v) #s(literal -1/6 binary64))
accuracy	0.4681253703759479	#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
accuracy	7.295700971106587	(fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)
accuracy	29.63746728546078	#s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)))
accuracy	0	(*.f64 e v)
accuracy	0.8987124970459107	#s(approx (/ (* e v) (+ 1 e)) (*.f64 e v))
accuracy	29.47239703988377	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
accuracy	0.140625	(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
accuracy	0.1640625	(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64))
accuracy	0.27734375	(/.f64 #s(literal 1 binary64) (sqrt.f64 e))
accuracy	0.3359375	(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e))

Samples

89.0ms

256×

valid

Compiler

Compiled 291 to 42 computations (85.6% saved)

Precisions

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

ival-mult: 21.0ms (31.8% of total)

ival-div: 10.0ms (15.2% of total)

ival-add: 9.0ms (13.6% of total)

const: 9.0ms (13.6% of total)

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

ival-cos: 5.0ms (7.6% of total)

ival-pow: 4.0ms (6.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory

0.4MiB live, 77.2MiB allocated

Counts

23 → 480

Calls

Call 1

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

Outputs
#s(alt e (taylor 0 e) (#s(alt (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt e (taylor 0 e) (#s(alt (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt e (taylor 0 e) (#s(alt (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt e (taylor 0 e) (#s(alt (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt e (taylor inf e) (#s(alt (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt e (taylor inf e) (#s(alt (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt e (taylor inf e) (#s(alt (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt e (taylor inf e) (#s(alt (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (pow (sqrt -1) 2))) (taylor -inf e) (#s(alt (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (pow (sqrt -1) 2))) (taylor -inf e) (#s(alt (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (pow (sqrt -1) 2))) (taylor -inf e) (#s(alt (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* e (pow (sqrt -1) 2))) (taylor -inf e) (#s(alt (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 e) (taylor 0 e) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #<representation binary64>) () ())) ())
#s(alt (/ 1 e) (taylor 0 e) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #<representation binary64>) () ())) ())
#s(alt (/ 1 e) (taylor 0 e) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #<representation binary64>) () ())) ())
#s(alt (/ 1 e) (taylor 0 e) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #<representation binary64>) () ())) ())
#s(alt (/ 1 e) (taylor inf e) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #<representation binary64>) () ())) ())
#s(alt (/ 1 e) (taylor inf e) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #<representation binary64>) () ())) ())
#s(alt (/ 1 e) (taylor inf e) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #<representation binary64>) () ())) ())
#s(alt (/ 1 e) (taylor inf e) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* e (pow (sqrt -1) 2))) (taylor -inf e) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* e (pow (sqrt -1) 2))) (taylor -inf e) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* e (pow (sqrt -1) 2))) (taylor -inf e) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* e (pow (sqrt -1) 2))) (taylor -inf e) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #<representation binary64>) () ())) ())
#s(alt (* e (sin v)) (taylor 0 e) (#s(alt (.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (patch (.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* e (+ (sin v) (* -1 (* e (* (cos v) (sin v)))))) (taylor 0 e) (#s(alt (.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (patch (.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* e (pow v 2)) (taylor -inf e) (#s(alt (.f64 e (.f64 v v)) (patch (.f64 e (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* e (pow v 2)) (taylor -inf e) (#s(alt (.f64 e (.f64 v v)) (patch (.f64 e (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* e (pow v 2)) (taylor -inf e) (#s(alt (.f64 e (.f64 v v)) (patch (.f64 e (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* e (pow v 2)) (taylor 0 v) (#s(alt (.f64 e (.f64 v v)) (patch (.f64 e (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* e (pow v 2)) (taylor 0 v) (#s(alt (.f64 e (.f64 v v)) (patch (.f64 e (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* e (pow v 2)) (taylor 0 v) (#s(alt (.f64 e (.f64 v v)) (patch (.f64 e (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* e (pow v 2)) (taylor 0 v) (#s(alt (.f64 e (.f64 v v)) (patch (.f64 e (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* e (pow v 2)) (taylor inf v) (#s(alt (.f64 e (.f64 v v)) (patch (.f64 e (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* e (pow v 2)) (taylor inf v) (#s(alt (.f64 e (.f64 v v)) (patch (.f64 e (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* e (pow v 2)) (taylor inf v) (#s(alt (.f64 e (.f64 v v)) (patch (.f64 e (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* e (pow v 2)) (taylor inf v) (#s(alt (.f64 e (.f64 v v)) (patch (.f64 e (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* e (pow v 2)) (taylor -inf v) (#s(alt (.f64 e (.f64 v v)) (patch (.f64 e (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* e (pow v 2)) (taylor -inf v) (#s(alt (.f64 e (.f64 v v)) (patch (.f64 e (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* e (pow v 2)) (taylor -inf v) (#s(alt (.f64 e (.f64 v v)) (patch (.f64 e (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* e (pow v 2)) (taylor -inf v) (#s(alt (.f64 e (.f64 v v)) (patch (.f64 e (.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor 0 e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor 0 e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor 0 e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor 0 e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor inf e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor inf e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor inf e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor inf e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor -inf e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor -inf e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor -inf e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 e) (taylor -inf e) (#s(alt (.f64 e #s(literal -1/6 binary64)) (patch (.f64 e #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())

Calls

120 calls:

Time	Variable		Point	Expression
3.0ms	e	@	-inf	(/ 1 (sqrt e))
3.0ms	v	@	0	(* v (+ (* e (* (* v v) -1/6)) e))
1.0ms	e	@	0	(+ (* (* e (* v v)) (+ (* (* v v) -1/5040) 1/120)) (* e -1/6))
1.0ms	e	@	0	(* v (+ (* e (* (* v v) -1/6)) e))
1.0ms	e	@	-inf	(pow (/ (/ 1 (sqrt e)) (sqrt e)) -1)

simplify255.0ms (3.1%)

Memory

-0.8MiB live, 431.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 672×	`lower-fma.f64`
10 672×	`lower-fma.f32`
6 776×	`lower-*.f64`
6 776×	`lower-*.f32`
2 964×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	330	6140
1	1040	5925
2	3244	5802
0	8189	5439

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 468

Calls

Call 1

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

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

rewrite281.0ms (3.4%)

Memory

-6.5MiB live, 509.3MiB allocated

Rules

4 712×	`lower-fma.f32`
4 702×	`lower-fma.f64`
4 560×	`lower-/.f32`
4 546×	`lower-/.f64`
4 022×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	298
0	78	291
1	306	266
2	2072	266
0	8313	262

Stop Event

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

Counts

23 → 508

Calls

Call 1

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

Outputs
e
(exp.f64 (log.f64 e))
(exp.f64 (*.f64 (log.f64 e) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 e)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 e e)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) e))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 e)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 e)) #s(literal -1/2 binary64) (*.f64 (neg.f64 (log.f64 e)) #s(literal -1/2 binary64))))
(fabs.f64 e)
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 e))) (/.f64 (sqrt.f64 e) (/.f64 #s(literal -1 binary64) (sqrt.f64 e))))
(sqrt.f64 (*.f64 e e))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) e))))
(/.f64 e #s(literal 1 binary64))
(/.f64 (sqrt.f64 e) (/.f64 #s(literal 1 binary64) (sqrt.f64 e)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) e)))
(/.f64 (neg.f64 (sqrt.f64 e)) (/.f64 #s(literal -1 binary64) (sqrt.f64 e)))
(/.f64 (neg.f64 e) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 e))) (/.f64 #s(literal 1 binary64) (sqrt.f64 e)))
(pow.f64 e #s(literal 1 binary64))
(pow.f64 (sqrt.f64 e) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64))
(pow.f64 (neg.f64 (sqrt.f64 e)) #s(literal 2 binary64))
(pow.f64 (*.f64 e e) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) e)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 e)))
(*.f64 #s(literal 1 binary64) e)
(*.f64 e #s(literal 1 binary64))
(*.f64 (sqrt.f64 e) (sqrt.f64 e))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 e) (/.f64 #s(literal -1 binary64) (sqrt.f64 e))))
(*.f64 (neg.f64 (sqrt.f64 e)) (neg.f64 (sqrt.f64 e)))
(*.f64 (/.f64 (sqrt.f64 e) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 e)))
(*.f64 (/.f64 (sqrt.f64 e) #s(literal -1 binary64)) (/.f64 (sqrt.f64 e) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 e) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 e)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 e) (pow.f64 e #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal -1/4 binary64))))
(*.f64 (/.f64 (pow.f64 e #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 e #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 e))))
(*.f64 (/.f64 (pow.f64 e #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 e))) (/.f64 (pow.f64 e #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 e #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 e #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 e))))
(*.f64 (/.f64 (pow.f64 e #s(literal 1/4 binary64)) (pow.f64 e #s(literal -1/4 binary64))) (/.f64 (pow.f64 e #s(literal 1/4 binary64)) (pow.f64 e #s(literal -1/4 binary64))))
(exp.f64 (neg.f64 (log.f64 e)))
(exp.f64 (*.f64 (log.f64 e) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 e)) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 e)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 e))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e)))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) e)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 e)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 e) (neg.f64 (sqrt.f64 e)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 e)) (sqrt.f64 e))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 e) (neg.f64 (sqrt.f64 e))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 e)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (neg.f64 (neg.f64 (sqrt.f64 e))))
(/.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 e))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 e) (neg.f64 (sqrt.f64 e))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 e)) (sqrt.f64 e)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 e)) (neg.f64 (sqrt.f64 e)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 e)) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 e)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) e)) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 e)))
(/.f64 (exp.f64 (neg.f64 (log.f64 (neg.f64 (sqrt.f64 e))))) (exp.f64 (log.f64 (neg.f64 (sqrt.f64 e)))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (sqrt.f64 e))))
(pow.f64 e #s(literal -1 binary64))
(pow.f64 (sqrt.f64 e) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 e)) #s(literal 2 binary64))
(pow.f64 (*.f64 e e) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 #s(literal 1 binary64) e)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) e))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (/.f64 #s(literal 1 binary64) (sqrt.f64 e)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) e) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) e)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 e)) (/.f64 #s(literal -1 binary64) (sqrt.f64 e)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 e)) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 e)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 e) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 e)))
(*.f64 (pow.f64 (pow.f64 e #s(literal 1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 e #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (pow.f64 e #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 e #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 e)) (pow.f64 e #s(literal 1/4 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (pow.f64 e #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 e #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 e #s(literal -1/4 binary64)) (sqrt.f64 e)) (/.f64 (pow.f64 e #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal 1/4 binary64))) (/.f64 (pow.f64 e #s(literal -1/4 binary64)) (pow.f64 e #s(literal 1/4 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 e)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (.f64 e (sin.f64 v)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (*.f64 e (sin.f64 v)) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (sin.f64 v))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) e) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)) (.f64 (sin.f64 v) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e)) (.f64 (neg.f64 (sin.f64 v)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (.f64 (.f64 e (sin.f64 v)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (neg.f64 e) (neg.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v))))
(/.f64 (*.f64 (sin.f64 v) (neg.f64 e)) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 v)) (.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 v))) (.f64 (/.f64 #s(literal 1 binary64) e) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (.f64 (sin.f64 v) #s(literal 1 binary64)) (.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (.f64 (neg.f64 (sin.f64 v)) #s(literal 1 binary64)) (.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e)))
(/.f64 (neg.f64 (*.f64 (sin.f64 v) (neg.f64 e))) (neg.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (.f64 (.f64 e (sin.f64 v)) #s(literal 1 binary64)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (sin.f64 v))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) e) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) e)))
(/.f64 (neg.f64 (.f64 (sin.f64 v) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 v)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) e) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (neg.f64 (sin.f64 v)) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) e))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 v) (neg.f64 e)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 e (sin.f64 v)) #s(literal 1 binary64))) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) e)))
(pow.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)) (/.f64 #s(literal 1 binary64) e)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 e) (/.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 e))))
(.f64 (sin.f64 v) (.f64 e (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(.f64 (sin.f64 v) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e))
(*.f64 (sin.f64 v) (/.f64 e (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(.f64 (.f64 e (sin.f64 v)) (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (.f64 (sin.f64 v) (neg.f64 e)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (.f64 e (sin.f64 v)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 e (sin.f64 v))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) (/.f64 e (/.f64 #s(literal 1 binary64) (sin.f64 v))))
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(/.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)))
(/.f64 (.f64 (sin.f64 v) (neg.f64 e)) (neg.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(/.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
(/.f64 (neg.f64 (neg.f64 (sin.f64 v))) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
(/.f64 (neg.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))) (neg.f64 (/.f64 #s(literal 1 binary64) e)))
(/.f64 (neg.f64 (.f64 (sin.f64 v) #s(literal 1 binary64))) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 v)))) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)))
(pow.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (*.f64 e (sin.f64 v))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(.f64 e (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(.f64 (sin.f64 v) (/.f64 e #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) e)))
(.f64 (/.f64 e #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) (sin.f64 v))
(.f64 (/.f64 e #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 v)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) e) (sin.f64 v)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) e)
(.f64 (/.f64 (sin.f64 v) #s(literal 1 binary64)) (/.f64 e #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(.f64 (/.f64 (sin.f64 v) (neg.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))) (neg.f64 e))
(.f64 (/.f64 (sin.f64 v) (neg.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 e))))
(.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal 1 binary64) (sqrt.f64 e))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal 1 binary64) (sqrt.f64 e))))
(.f64 (/.f64 (sin.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 e))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal -1 binary64) (sqrt.f64 e))))
(.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) (/.f64 (sin.f64 v) (neg.f64 (/.f64 #s(literal 1 binary64) e))))
(sin.f64 v)
(exp.f64 (.f64 (log.f64 (/.f64 e #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 e)) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)))
(neg.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)))
(/.f64 #s(literal 1 binary64) (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))))
(/.f64 #s(literal 1 binary64) (/.f64 e (.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))))
(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e)
(/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) (neg.f64 e))
(/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (neg.f64 e)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))) (neg.f64 (neg.f64 e)))
(/.f64 (.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)) e)
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))))) (neg.f64 (neg.f64 (neg.f64 e))))
(/.f64 (neg.f64 (.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64))) (neg.f64 e))
(pow.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64))
(pow.f64 (/.f64 e #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) e))
(.f64 (/.f64 #s(literal 1 binary64) e) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(.f64 (/.f64 #s(literal 1 binary64) e) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64)))
(.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (/.f64 #s(literal 1 binary64) e))
(.f64 (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) #s(literal 1 binary64))
(.f64 (neg.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) (/.f64 #s(literal 1 binary64) (neg.f64 e)))
(.f64 (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) e))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) e))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 e)))
(.f64 (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sqrt.f64 e)) (/.f64 #s(literal 1 binary64) (sqrt.f64 e)))
(.f64 (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (/.f64 (sqrt.f64 e) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 e)))
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
(.f64 v (.f64 v #s(literal -1/6 binary64)))
(.f64 (.f64 v v) #s(literal -1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 v v))
(.f64 (.f64 v #s(literal -1/6 binary64)) v)
(exp.f64 (+.f64 (log.f64 e) (*.f64 (log.f64 v) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 v) #s(literal 2 binary64) (log.f64 e)))
(pow.f64 (*.f64 (sqrt.f64 e) v) #s(literal 2 binary64))
(pow.f64 (*.f64 v (sqrt.f64 e)) #s(literal 2 binary64))
(.f64 e (.f64 v v))
(.f64 v (.f64 e v))
(.f64 (.f64 e v) v)
(.f64 (.f64 v v) e)
(*.f64 e #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) e)

eval129.0ms (1.6%)

Memory: 22.3MiB live, 295.5MiB allocated
Compiler: Compiled 24 881 to 1 902 computations (92.4% saved)

prune170.0ms (2.1%)

Memory

-14.7MiB live, 439.7MiB allocated

Pruning

38 alts after pruning (34 fresh and 4 done)

	Pruned	Kept	Total
New	996	17	1 013
Fresh	6	17	23
Picked	4	1	5
Done	0	3	3
Total	1 006	38	1 044

Accuracy

100.0%

Counts

1 044 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.5%	(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	98.5%	(/.f64 (.f64 (pow.f64 e #s(literal 1/4 binary64)) (.f64 (pow.f64 e #s(literal 1/4 binary64)) (.f64 (sin.f64 v) (sqrt.f64 e)))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	98.6%	(/.f64 (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
✓	99.8%	(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
	99.0%	(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64))))))
	98.3%	(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)) e))
	98.6%	(/.f64 (sin.f64 v) (.f64 (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sqrt.f64 e)) (/.f64 #s(literal 1 binary64) (sqrt.f64 e))))
	53.7%	(/.f64 #s(approx (* e (sin v)) (fma.f64 (.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) v (.f64 e v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	53.7%	(/.f64 #s(approx (* e (sin v)) (fma.f64 (.f64 e (.f64 v v)) (.f64 v #s(literal -1/6 binary64)) (.f64 e v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	41.6%	(/.f64 #s(approx (* e (sin v)) (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 e e) #s(literal 1/36 binary64)) (.f64 (.f64 v v) (.f64 v v))) (.f64 e e)) v) (fma.f64 (.f64 (.f64 e #s(literal -1/6 binary64)) v) v (neg.f64 e)))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	53.7%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
▶	53.7%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 e v) (.f64 v #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	53.7%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* (* e (* v v)) (+ (* (* v v) -1/5040) 1/120)) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) e))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	53.8%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 e (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 e #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64)))))
▶	53.7%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
	53.0%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
	53.5%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 e) (/.f64 #s(literal -1 binary64) (sqrt.f64 e))) (.f64 v (.f64 v (.f64 e #s(literal -1/6 binary64))))))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	53.7%	(/.f64 #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	28.7%	(/.f64 #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( e (* (* v v) -1/6)) e) (.f64 #s(literal -1/6 binary64) (.f64 e (.f64 v v)))))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	53.7%	(/.f64 #s(approx (* e (sin v)) #s(approx (* v (+ (* (* v v) (+ (* (* e (* v v)) (+ (* (* v v) -1/5040) 1/120)) (* e -1/6))) e)) (.f64 (.f64 e (neg.f64 v)) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/6 binary64) (.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1 binary64))))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	98.9%	(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
▶	97.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) (*.f64 (sin.f64 v) #s(literal 1 binary64))))
	52.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e)))))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
▶	99.1%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
	98.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (sqrt.f64 e)) (*.f64 (sin.f64 v) (sqrt.f64 e)))
	99.1%	(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) e)
	98.4%	(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (sin.f64 v)) e)
	53.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 (.f64 v (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 #s(literal 1 binary64) e)))
	53.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v #s(literal 1 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
✓	53.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
	53.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
	53.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
	52.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal -1 binary64) e))))
	99.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
	2.6%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
▶	53.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v)))))
✓	53.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))

Compiler

Compiled 1 279 to 727 computations (43.2% saved)

simplify164.0ms (2%)

Memory

25.4MiB live, 256.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e)
cost-diff	320	(*.f64 (sin.f64 v) #s(literal 1 binary64))
cost-diff	384	(/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) (*.f64 (sin.f64 v) #s(literal 1 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) (*.f64 (sin.f64 v) #s(literal 1 binary64))))
cost-diff	0	(.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))
cost-diff	0	#s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)))
cost-diff	0	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
cost-diff	128	(fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))
cost-diff	0	(fma.f64 (.f64 e v) (.f64 v #s(literal -1/6 binary64)) e)
cost-diff	0	(.f64 (fma.f64 (.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e) v)
cost-diff	0	#s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e) v))
cost-diff	0	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 e v) (.f64 v #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
cost-diff	0	(-.f64 v (*.f64 e v))
cost-diff	0	(.f64 e (-.f64 v (.f64 e v)))
cost-diff	0	#s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v))))
cost-diff	0	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v)))))
cost-diff	0	#s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))
cost-diff	0	(sin.f64 v)
cost-diff	0	(/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
cost-diff	0	(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)

Rules

7 466×	`lower-fma.f32`
7 458×	`lower-fma.f64`
3 346×	`lower-*.f32`
3 322×	`lower-*.f64`
2 206×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	409
0	78	401
1	151	401
2	304	401
3	595	395
4	1009	395
5	1355	395
6	1806	395
7	2331	395
8	4485	395
9	6730	395
0	8081	374

Stop Event

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

Calls

Call 1

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

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

localize155.0ms (1.9%)

Memory

3.1MiB live, 316.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e)
accuracy	0.2265625	(/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) (*.f64 (sin.f64 v) #s(literal 1 binary64)))
accuracy	0.4681253703759479	#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
accuracy	1.1248268293472317	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) (*.f64 (sin.f64 v) #s(literal 1 binary64))))
accuracy	7.295700971106587	(fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)
accuracy	7.300450637071747	(.f64 e (fma.f64 v (.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
accuracy	25.71953316495767	#s(approx (+ 1 (* e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64))))
accuracy	29.63746728546078	#s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e)))
accuracy	0.11556625976844201	(fma.f64 (.f64 e v) (.f64 v #s(literal -1/6 binary64)) e)
accuracy	0.328125	(*.f64 v #s(literal -1/6 binary64))
accuracy	0.4681253703759479	#s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e))
accuracy	29.63746728546078	#s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e) v))
accuracy	0	(*.f64 e v)
accuracy	0.01953125	(.f64 e (-.f64 v (.f64 e v)))
accuracy	0.47570175199447745	#s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v))))
accuracy	29.47239703988377	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v)))))
accuracy	0	(sin.f64 v)
accuracy	0.015625	(/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
accuracy	0.140625	(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
accuracy	0.468125370375948	#s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))

Samples

97.0ms

256×

valid

Compiler

Compiled 284 to 43 computations (84.9% saved)

Precisions

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

ival-mult: 27.0ms (38.6% of total)

const: 12.0ms (17.1% of total)

ival-div: 9.0ms (12.9% of total)

ival-add: 9.0ms (12.9% of total)

ival-sin: 6.0ms (8.6% of total)

ival-cos: 5.0ms (7.1% of total)

ival-sub: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.5%)

Memory

9.3MiB live, 87.0MiB allocated

Counts

26 → 588

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e) (patch (.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) (patch (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (sin.f64 v) (patch (sin.f64 v) #<representation binary64>) () ())
#s(alt #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (patch #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v))))) (patch #s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v)))) (patch #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v)))) #<representation binary64>) () ())
#s(alt (.f64 e (-.f64 v (.f64 e v))) (patch (.f64 e (-.f64 v (.f64 e v))) #<representation binary64>) () ())
#s(alt (-.f64 v (.f64 e v)) (patch (-.f64 v (.f64 e v)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 e v) (.f64 v #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) (patch (/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 e v) (.f64 v #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e))) #<representation binary64>) () ())
#s(alt #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 e v) (.f64 v #s(literal -1/6 binary64)) e) v)) (patch #s(approx ( e (sin v)) (.f64 (fma.f64 (.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e) v)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 e v) (.f64 v #s(literal -1/6 binary64)) e) v) (patch (.f64 (fma.f64 (.f64 e v) (.f64 v #s(literal -1/6 binary64)) e) v) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 e v) (.f64 v #s(literal -1/6 binary64)) e) (patch (fma.f64 (.f64 e v) (.f64 v #s(literal -1/6 binary64)) e) #<representation binary64>) () ())
#s(alt (fma.f64 v (.f64 v (.f64 e (fma.f64 v (.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64))) (patch (fma.f64 v (.f64 v (.f64 e (fma.f64 v (.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64))))) (patch (/.f64 #s(approx ( e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) (patch #s(approx ( e (sin v)) (.f64 v (fma.f64 e (.f64 (*.f64 v v) #s(literal -1/6 binary64)) e))) #<representation binary64>) () ())
#s(alt (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)) (patch (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) (.f64 (sin.f64 v) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) (*.f64 (sin.f64 v) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) (.f64 (sin.f64 v) #s(literal 1 binary64))) (patch (/.f64 (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) (*.f64 (sin.f64 v) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (sin.f64 v) #s(literal 1 binary64)) (patch (.f64 (sin.f64 v) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) (patch (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) #<representation binary64>) () ())
#s(alt (.f64 e v) (patch (.f64 e v) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) (patch #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #<representation binary64>) () ())
#s(alt (.f64 v #s(literal -1/6 binary64)) (patch (.f64 v #s(literal -1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (* e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))) (patch #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 e (fma.f64 v (.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (patch (.f64 e (fma.f64 v (.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e) (patch (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e) #<representation binary64>) () ())

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

Calls

147 calls:

Time	Variable		Point	Expression
6.0ms	v	@	-inf	(+ (* v (* v (* e (+ (* v (* v 1/24)) -1/2)))) (+ e 1))
1.0ms	v	@	0	(/ (/ (+ 1 (* e (cos v))) e) (* (sin v) 1))
1.0ms	v	@	-inf	(* e (- v (* e v)))
1.0ms	e	@	0	(+ (* v (* v (* e (+ (* v (* v 1/24)) -1/2)))) (+ e 1))
1.0ms	v	@	inf	(+ (* v (* v (* e (+ (* v (* v 1/24)) -1/2)))) (+ e 1))

simplify641.0ms (7.8%)

Memory

-168.7MiB live, 472.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 654×	`lower-fma.f64`
10 654×	`lower-fma.f32`
7 164×	`lower-*.f64`
7 164×	`lower-*.f32`
4 404×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	406	7591
1	1277	7350
2	3827	7323
0	8777	6844

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 581

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

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

rewrite306.0ms (3.7%)

Memory

25.8MiB live, 486.8MiB allocated

Rules

4 876×	`lower-/.f32`
4 864×	`lower-/.f64`
4 586×	`lower-fma.f32`
4 578×	`lower-fma.f64`
4 488×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	337
0	78	329
1	319	329
2	1943	329
0	8461	318

Stop Event

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

Counts

26 → 654

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))) (/.f64 (.f64 (sin.f64 v) e) (neg.f64 #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (neg.f64 e))) (/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (neg.f64 e))))
(neg.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 v) e) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) e))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) e) (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))))
(/.f64 (/.f64 (sin.f64 v) #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) e))
(/.f64 (.f64 (sin.f64 v) e) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (neg.f64 (*.f64 (sin.f64 v) e))))
(/.f64 (neg.f64 e) (neg.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v))))
(/.f64 (neg.f64 (.f64 (sin.f64 v) e)) (neg.f64 #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sin.f64 v)) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (neg.f64 e)))
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(/.f64 (fma.f64 (.f64 e (.f64 e e)) #s(literal -1/8 binary64) (.f64 (.f64 (.f64 v e) (.f64 e (.f64 v (.f64 v e)))) (.f64 (.f64 v (.f64 v v)) #s(literal 1/13824 binary64)))) (fma.f64 (.f64 e #s(literal -1/2 binary64)) (.f64 e #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 (.f64 v (.f64 v e)) #s(literal 1/24 binary64)) (.f64 (.f64 v (.f64 v e)) #s(literal 1/24 binary64))) (.f64 (.f64 e #s(literal -1/2 binary64)) (.f64 (.f64 v (*.f64 v e)) #s(literal 1/24 binary64))))))
(.f64 e (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 v v) #s(literal -1/2 binary64)) e)
(.f64 (fma.f64 (.f64 e (.f64 e e)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal 1/13824 binary64))) (.f64 (.f64 e (.f64 e e)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 v (.f64 v e)) #s(literal 1/24 binary64)) (.f64 (.f64 v (.f64 v e)) #s(literal 1/24 binary64)) (-.f64 (.f64 (.f64 e #s(literal -1/2 binary64)) (.f64 e #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 v (.f64 v e)) #s(literal 1/24 binary64)) (.f64 e #s(literal -1/2 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 v (.f64 v e)) #s(literal 1/24 binary64)) (.f64 (.f64 v (.f64 v e)) #s(literal 1/24 binary64))) (.f64 (.f64 e #s(literal -1/2 binary64)) (.f64 e #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 v (.f64 v e)) #s(literal 1/24 binary64)) (*.f64 e #s(literal -1/2 binary64)))))
(.f64 (.f64 e (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 v v) #s(literal -1/48 binary64)))))
(.f64 (.f64 e (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/576 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal 1/13824 binary64)) #s(literal -1/8 binary64)) e) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/576 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 v v) #s(literal -1/48 binary64)))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 v v) (.f64 v v)) #s(literal 1/576 binary64) #s(literal -1/4 binary64)) e) (/.f64 #s(literal 1 binary64) (fma.f64 v (.f64 v #s(literal 1/24 binary64)) #s(literal 1/2 binary64))))
(+.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v (*.f64 v e))))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 v (*.f64 v e))) e)
(-.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e))) e)) (/.f64 (.f64 e e) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 v (*.f64 v e))) e)))
(-.f64 (/.f64 (.f64 e e) (-.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e))))) (/.f64 (.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64)) (-.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v (*.f64 v e))))))
(fma.f64 v (.f64 (.f64 v #s(literal -1/6 binary64)) e) e)
(fma.f64 v (.f64 e (.f64 v #s(literal -1/6 binary64))) e)
(fma.f64 v (.f64 #s(literal -1/6 binary64) (.f64 v e)) e)
(fma.f64 e #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 v (*.f64 v e))))
(fma.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v v)) e)
(fma.f64 #s(literal 1 binary64) e (.f64 #s(literal -1/6 binary64) (.f64 v (*.f64 v e))))
(fma.f64 (.f64 v e) (.f64 v #s(literal -1/6 binary64)) e)
(fma.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e)) e)
(fma.f64 (.f64 v #s(literal -1/6 binary64)) (.f64 v e) e)
(fma.f64 (.f64 v v) (.f64 #s(literal -1/6 binary64) e) e)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 v v)) e e)
(fma.f64 (.f64 v (.f64 v e)) #s(literal -1/6 binary64) e)
(fma.f64 (.f64 e #s(literal -1/6 binary64)) (.f64 v v) e)
(fma.f64 (.f64 (.f64 v e) #s(literal -1/6 binary64)) v e)
(fma.f64 (.f64 (.f64 v #s(literal -1/6 binary64)) e) v e)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e)) e)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e)) e)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e e (-.f64 (.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64)) (.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e)))))) (fma.f64 (.f64 e (.f64 e e)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/216 binary64))) (.f64 e (.f64 e e)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e)))) (-.f64 (.f64 e e) (.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e)) e))))
(/.f64 (fma.f64 (.f64 e (.f64 e e)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/216 binary64))) (.f64 e (.f64 e e))) (fma.f64 e (-.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e)))) (.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (*.f64 v e)))) #s(literal 1/36 binary64))))
(/.f64 (fma.f64 (.f64 e (.f64 e e)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/216 binary64))) (.f64 e (.f64 e e))) (fma.f64 e e (-.f64 (.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64)) (.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e)))))))
(/.f64 (fma.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64) (neg.f64 (.f64 e e))) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 v (*.f64 v e))) e))
(/.f64 (neg.f64 (fma.f64 (.f64 e (.f64 e e)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/216 binary64))) (.f64 e (.f64 e e)))) (neg.f64 (fma.f64 e (-.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e)))) (.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (*.f64 v e)))) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 e (.f64 e e)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/216 binary64))) (.f64 e (.f64 e e)))) (neg.f64 (fma.f64 e e (-.f64 (.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64)) (.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e))))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64) (neg.f64 (.f64 e e)))) (neg.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 v (*.f64 v e))) e)))
(/.f64 (-.f64 (.f64 e e) (.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64))) (-.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e))) e)) (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e))) e) (.f64 e e))) (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e))) e) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e))) e)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 e (.f64 e e)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/216 binary64))) (.f64 e (.f64 e e))))) (neg.f64 (neg.f64 (fma.f64 e (-.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e)))) (.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (*.f64 v e)))) #s(literal 1/36 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64) (neg.f64 (.f64 e e))))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 v (*.f64 v e))) e))))
(/.f64 (neg.f64 (-.f64 (.f64 e e) (.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e))) e)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 e e) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e))) e)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e))) e)) (/.f64 (.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e))) e)) (fma.f64 (/.f64 (.f64 e e) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e))) e)) (/.f64 (.f64 e e) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e))) e)) (.f64 (/.f64 (.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e))) e)) (/.f64 (.f64 e e) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 v (*.f64 v e))) e))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e)) e)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 v (*.f64 v e)) e))
(.f64 (fma.f64 (.f64 e (.f64 e e)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/216 binary64))) (.f64 e (.f64 e e))) (/.f64 #s(literal 1 binary64) (fma.f64 e (-.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e)))) (.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64)))))
(.f64 (fma.f64 (.f64 e (.f64 e e)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/216 binary64))) (.f64 e (.f64 e e))) (/.f64 #s(literal 1 binary64) (fma.f64 e e (-.f64 (.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64)) (.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v (*.f64 v e))))))))
(.f64 (fma.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64) (neg.f64 (.f64 e e))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e))) e)))
(.f64 (neg.f64 (fma.f64 (.f64 e (.f64 e e)) (.f64 (.f64 v (.f64 v v)) (.f64 (.f64 v (.f64 v v)) #s(literal -1/216 binary64))) (.f64 e (.f64 e e)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 e (-.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e)))) (.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64) (neg.f64 (.f64 e e)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e))) e))))
(.f64 (-.f64 (.f64 e e) (.f64 (.f64 (.f64 v v) (.f64 e (.f64 v (.f64 v e)))) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 e (.f64 #s(literal -1/6 binary64) (.f64 v (*.f64 v e))))))
(.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e)

eval193.0ms (2.3%)

Memory: -1.5MiB live, 497.1MiB allocated
Compiler: Compiled 33 514 to 2 140 computations (93.6% saved)

prune232.0ms (2.8%)

Memory

9.9MiB live, 567.3MiB allocated

Pruning

45 alts after pruning (39 fresh and 6 done)

	Pruned	Kept	Total
New	1 284	22	1 306
Fresh	12	17	29
Picked	3	2	5
Done	0	4	4
Total	1 299	45	1 344

Accuracy

100.0%

Counts

1 344 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.8%	(pow.f64 (pow.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	98.9%	(/.f64 (/.f64 e #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
	98.5%	(/.f64 (.f64 (pow.f64 e #s(literal 1/4 binary64)) (.f64 (pow.f64 e #s(literal 1/4 binary64)) (.f64 (sin.f64 v) (sqrt.f64 e)))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	98.6%	(/.f64 (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
✓	99.8%	(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
	98.3%	(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)) e))
	98.6%	(/.f64 (sin.f64 v) (.f64 (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sqrt.f64 e)) (/.f64 #s(literal 1 binary64) (sqrt.f64 e))))
	53.7%	(/.f64 #s(approx (* e (sin v)) (fma.f64 (.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) v (.f64 e v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	53.7%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	53.0%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 e v) (.f64 v #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
	53.9%	(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e)) e) v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
	53.7%	(/.f64 #s(approx (* e (sin v)) (.f64 (.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	53.7%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* (* e (* v v)) (+ (* (* v v) -1/5040) 1/120)) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) e))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	53.7%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 v (.f64 v (fma.f64 e (.f64 v (.f64 v #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64)))) e))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	53.8%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 e (.f64 v v)))) (.f64 e #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64)))))
	53.8%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 e (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 e #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64)))))
	26.4%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) #s(approx (+ (* v (* v (* e (+ (* v (* v 1/24)) -1/2)))) (+ e 1)) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) e))))
	1.9%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) #s(approx (+ (* v (* v (* e (+ (* v (* v 1/24)) -1/2)))) (+ e 1)) (.f64 e (.f64 (.f64 (.f64 v v) (*.f64 v v)) #s(literal 1/24 binary64))))))
	53.0%	(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) #s(approx (+ (* v (* v (* e (+ (* v (* v 1/24)) -1/2)))) (+ e 1)) #s(literal 1 binary64))))
	28.6%	(/.f64 #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( e (* (* v v) -1/6)) e) (.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)))))) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
	54.8%	(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
	53.7%	(/.f64 #s(approx (* e (sin v)) #s(approx (* v (+ (* (* v v) (+ (* (* e (* v v)) (+ (* (* v v) -1/5040) 1/120)) (* e -1/6))) e)) (.f64 (.f64 e (neg.f64 v)) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/6 binary64) (.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1 binary64))))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
	98.9%	(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
	97.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)) e))
	97.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) e) (sin.f64 v)))
	52.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* e (sin v)) (.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 v (*.f64 v e)) e)))))
	54.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ 1 (* e (cos v))) e) (* (sin v) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v)))
✓	99.8%	(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
✓	99.1%	(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
	98.6%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (sqrt.f64 e)) (*.f64 (sin.f64 v) (sqrt.f64 e)))
	99.1%	(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) e)
	98.4%	(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (sin.f64 v)) e)
	53.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 (.f64 v (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 #s(literal 1 binary64) e)))
	53.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v #s(literal 1 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
✓	53.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
	53.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
	52.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal -1 binary64) e))))
	99.0%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
	53.8%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (fma.f64 v e (.f64 (.f64 v (neg.f64 e)) e))))
	39.9%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 (.f64 (.f64 (fma.f64 v e v) (-.f64 v (*.f64 v e))) e) (fma.f64 v e v))))
	53.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (.f64 v e) (.f64 (*.f64 v (neg.f64 e)) e))))
✓	53.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v)))))
	53.7%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) v))))
	30.2%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
✓	53.3%	#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))

Compiler

Compiled 2 108 to 728 computations (65.5% saved)

regimes68.0ms (0.8%)

Memory

-10.1MiB live, 145.8MiB allocated

Counts

78 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (fma.f64 v e (.f64 (.f64 v (neg.f64 e)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (.f64 v e) (.f64 (*.f64 v (neg.f64 e)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v #s(literal 1 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) #s(approx (+ (* v (* v (* e (+ (* v (* v 1/24)) -1/2)))) (+ e 1)) #s(literal 1 binary64))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 e v) (.f64 v #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
(/.f64 #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( e (* (* v v) -1/6)) e) (.f64 #s(literal -1/6 binary64) (.f64 e (.f64 v v)))))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 (.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 e v) (.f64 v #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (fma.f64 (.f64 e (.f64 v v)) (.f64 v #s(literal -1/6 binary64)) (.f64 e v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 (.f64 (.f64 (fma.f64 v e v) (-.f64 v (*.f64 v e))) e) (fma.f64 v e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 (.f64 v (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* e (sin v)) (.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 v (*.f64 v e)) e)))))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* (* e (* v v)) (+ (* (* v v) -1/5040) 1/120)) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) e))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 v (.f64 v (fma.f64 e (.f64 v (.f64 v #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64)))) e))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) #s(approx (+ (* v (* v (* e (+ (* v (* v 1/24)) -1/2)))) (+ e 1)) (.f64 e (.f64 (.f64 (.f64 v v) (*.f64 v v)) #s(literal 1/24 binary64))))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) #s(approx (+ (* v (* v (* e (+ (* v (* v 1/24)) -1/2)))) (+ e 1)) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) e))))
(/.f64 #s(approx (* e (sin v)) #s(approx (* v (+ (* (* v v) (+ (* (* e (* v v)) (+ (* (* v v) -1/5040) 1/120)) (* e -1/6))) e)) (.f64 (.f64 e (neg.f64 v)) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/6 binary64) (.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1 binary64))))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( e (* (* v v) -1/6)) e) (.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)))))) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e)) e) v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (fma.f64 (.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) v (.f64 e v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ 1 (* e (cos v))) e) (* (sin v) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) 1)) (.f64 v (fma.f64 v (.f64 v (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 e (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 e #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 e) (/.f64 #s(literal -1 binary64) (sqrt.f64 e))) (.f64 v (.f64 v (.f64 e #s(literal -1/6 binary64))))))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 e (.f64 v v)))) (.f64 e #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 e e) #s(literal 1/36 binary64)) (.f64 (.f64 v v) (.f64 v v))) (.f64 e e)) v) (fma.f64 (.f64 (.f64 e #s(literal -1/6 binary64)) v) v (neg.f64 e)))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (sin.f64 v)) e)
(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)) e))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)) e))
(/.f64 (/.f64 e #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) (*.f64 (sin.f64 v) #s(literal 1 binary64))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64))))))
(/.f64 (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (sqrt.f64 e)) (*.f64 (sin.f64 v) (sqrt.f64 e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) e))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (.f64 (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sqrt.f64 e)) (/.f64 #s(literal 1 binary64) (sqrt.f64 e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) e)
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(/.f64 (*.f64 e (sin.f64 v)) (fma.f64 (cos.f64 v) e #s(literal 1 binary64)))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
(/.f64 e (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 e (cos.f64 v) #s(literal 1 binary64)) (*.f64 e (sin.f64 v))))
(pow.f64 (pow.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (*.f64 (sin.f64 v) e)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) e) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(/.f64 (/.f64 (/.f64 (sin.f64 v) (pow.f64 e #s(literal -1/2 binary64))) (pow.f64 e #s(literal -1/2 binary64))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (.f64 (pow.f64 e #s(literal 1/4 binary64)) (.f64 (pow.f64 e #s(literal 1/4 binary64)) (.f64 (sin.f64 v) (sqrt.f64 e)))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 e)) (sqrt.f64 e)) #s(literal -1 binary64)) (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(pow.f64 (pow.f64 (/.f64 (*.f64 e (sin.f64 v)) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (sin.f64 v) (neg.f64 e)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 e (sin.f64 v)) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (sin.f64 v) (neg.f64 e)))))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes57.0ms (0.7%)

Memory

13.1MiB live, 128.2MiB allocated

Counts

66 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (fma.f64 v e (.f64 (.f64 v (neg.f64 e)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (.f64 v e) (.f64 (*.f64 v (neg.f64 e)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v #s(literal 1 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) #s(approx (+ (* v (* v (* e (+ (* v (* v 1/24)) -1/2)))) (+ e 1)) #s(literal 1 binary64))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 e v) (.f64 v #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
(/.f64 #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( e (* (* v v) -1/6)) e) (.f64 #s(literal -1/6 binary64) (.f64 e (.f64 v v)))))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 (.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 e v) (.f64 v #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (fma.f64 (.f64 e (.f64 v v)) (.f64 v #s(literal -1/6 binary64)) (.f64 e v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 (.f64 (.f64 (fma.f64 v e v) (-.f64 v (*.f64 v e))) e) (fma.f64 v e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 (.f64 v (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* e (sin v)) (.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 v (*.f64 v e)) e)))))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* (* e (* v v)) (+ (* (* v v) -1/5040) 1/120)) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) e))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 v (.f64 v (fma.f64 e (.f64 v (.f64 v #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64)))) e))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) #s(approx (+ (* v (* v (* e (+ (* v (* v 1/24)) -1/2)))) (+ e 1)) (.f64 e (.f64 (.f64 (.f64 v v) (*.f64 v v)) #s(literal 1/24 binary64))))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) #s(approx (+ (* v (* v (* e (+ (* v (* v 1/24)) -1/2)))) (+ e 1)) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) e))))
(/.f64 #s(approx (* e (sin v)) #s(approx (* v (+ (* (* v v) (+ (* (* e (* v v)) (+ (* (* v v) -1/5040) 1/120)) (* e -1/6))) e)) (.f64 (.f64 e (neg.f64 v)) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/6 binary64) (.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1 binary64))))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( e (* (* v v) -1/6)) e) (.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)))))) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e)) e) v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (fma.f64 (.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) v (.f64 e v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ 1 (* e (cos v))) e) (* (sin v) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) 1)) (.f64 v (fma.f64 v (.f64 v (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 e (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 e #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 e) (/.f64 #s(literal -1 binary64) (sqrt.f64 e))) (.f64 v (.f64 v (.f64 e #s(literal -1/6 binary64))))))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 e (.f64 v v)))) (.f64 e #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 e e) #s(literal 1/36 binary64)) (.f64 (.f64 v v) (.f64 v v))) (.f64 e e)) v) (fma.f64 (.f64 (.f64 e #s(literal -1/6 binary64)) v) v (neg.f64 e)))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (sin.f64 v)) e)
(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) #s(literal 1 binary64)) e))
(/.f64 e (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
(/.f64 e (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)))
(/.f64 (sin.f64 v) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64))) e))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) e) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) (sin.f64 v)) e))
(/.f64 (/.f64 e #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 v)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) e) (*.f64 (sin.f64 v) #s(literal 1 binary64))))
(/.f64 (.f64 e (sin.f64 v)) #s(approx (+ 1 ( e (cos v))) (*.f64 (fma.f64 e e #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 e #s(literal -1 binary64))))))
(/.f64 (.f64 (.f64 (sin.f64 v) (sqrt.f64 e)) (sqrt.f64 e)) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1 (* e (cos v))) (+.f64 e #s(literal 1 binary64)))) (sqrt.f64 e)) (*.f64 (sin.f64 v) (sqrt.f64 e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (.f64 e (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) e))) (+.f64 #s(literal 1 binary64) (*.f64 e (cos.f64 v))))
(/.f64 (sin.f64 v) (.f64 (/.f64 #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)) (sqrt.f64 e)) (/.f64 #s(literal 1 binary64) (sqrt.f64 e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 (sin.f64 v) (fma.f64 (cos.f64 v) (.f64 e (neg.f64 e)) e)))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (*.f64 (fma.f64 (cos.f64 v) (neg.f64 e) #s(literal 1 binary64)) (sin.f64 v))) e)

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

Calls

3 calls:

18.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
18.0ms	v
18.0ms	e

Results

Accuracy	Segments	Branch
99.1%	1	`e`
99.1%	1	`v`
99.1%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes50.0ms (0.6%)

Memory

20.6MiB live, 100.5MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (fma.f64 v e (.f64 (.f64 v (neg.f64 e)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (.f64 v e) (.f64 (*.f64 v (neg.f64 e)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v #s(literal 1 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) #s(approx (+ (* v (* v (* e (+ (* v (* v 1/24)) -1/2)))) (+ e 1)) #s(literal 1 binary64))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 e v) (.f64 v #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
(/.f64 #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( e (* (* v v) -1/6)) e) (.f64 #s(literal -1/6 binary64) (.f64 e (.f64 v v)))))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 (.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 e v) (.f64 v #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (fma.f64 (.f64 e (.f64 v v)) (.f64 v #s(literal -1/6 binary64)) (.f64 e v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 (.f64 (.f64 (fma.f64 v e v) (-.f64 v (*.f64 v e))) e) (fma.f64 v e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 (.f64 v (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* e (sin v)) (.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 v (*.f64 v e)) e)))))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* (* e (* v v)) (+ (* (* v v) -1/5040) 1/120)) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) e))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 v (.f64 v (fma.f64 e (.f64 v (.f64 v #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64)))) e))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) #s(approx (+ (* v (* v (* e (+ (* v (* v 1/24)) -1/2)))) (+ e 1)) (.f64 e (.f64 (.f64 (.f64 v v) (*.f64 v v)) #s(literal 1/24 binary64))))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) #s(approx (+ (* v (* v (* e (+ (* v (* v 1/24)) -1/2)))) (+ e 1)) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) e))))
(/.f64 #s(approx (* e (sin v)) #s(approx (* v (+ (* (* v v) (+ (* (* e (* v v)) (+ (* (* v v) -1/5040) 1/120)) (* e -1/6))) e)) (.f64 (.f64 e (neg.f64 v)) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/6 binary64) (.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1 binary64))))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( e (* (* v v) -1/6)) e) (.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)))))) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e)) e) v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (fma.f64 (.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) v (.f64 e v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ 1 (* e (cos v))) e) (* (sin v) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) 1)) (.f64 v (fma.f64 v (.f64 v (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 e (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 e #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 e) (/.f64 #s(literal -1 binary64) (sqrt.f64 e))) (.f64 v (.f64 v (.f64 e #s(literal -1/6 binary64))))))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 e (.f64 v v)))) (.f64 e #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 e e) #s(literal 1/36 binary64)) (.f64 (.f64 v v) (.f64 v v))) (.f64 e e)) v) (fma.f64 (.f64 (.f64 e #s(literal -1/6 binary64)) v) v (neg.f64 e)))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
(.f64 #s(approx (/ (sin v) (+ ( e (cos v)) 1)) (sin.f64 v)) e)

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

Calls

3 calls:

20.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
14.0ms	e
13.0ms	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 19 to 13 computations (31.6% saved)

regimes44.0ms (0.5%)

Memory

-22.2MiB live, 95.9MiB allocated

Counts

47 → 1

Calls

Call 1

Inputs
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e #s(approx (- v ( e v)) (*.f64 e (neg.f64 v))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (-.f64 v (/.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (fma.f64 v e (.f64 (.f64 v (neg.f64 e)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (+.f64 (.f64 v e) (.f64 (*.f64 v (neg.f64 e)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 e (/.f64 (+.f64 e #s(literal 1 binary64)) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 e #s(literal 1 binary64)) (*.f64 v e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v #s(literal 1 binary64)) (/.f64 (+.f64 e #s(literal 1 binary64)) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) #s(approx (+ (* v (* v (* e (+ (* v (* v 1/24)) -1/2)))) (+ e 1)) #s(literal 1 binary64))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 e v) (.f64 v #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 ( e (cos v))) #s(literal 1 binary64)))
(/.f64 #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( e (* (* v v) -1/6)) e) (.f64 #s(literal -1/6 binary64) (.f64 e (.f64 v v)))))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 (.f64 (fma.f64 v (.f64 v #s(literal -1/6 binary64)) #s(literal 1 binary64)) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 e v) (.f64 v #s(literal -1/6 binary64)) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 v (.f64 (.f64 v v) #s(literal -1/6 binary64)) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (fma.f64 (.f64 e (.f64 v v)) (.f64 v #s(literal -1/6 binary64)) (.f64 e v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (/.f64 (.f64 (.f64 (fma.f64 v e v) (-.f64 v (*.f64 v e))) e) (fma.f64 v e v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 e #s(literal 1 binary64)) v) (/.f64 #s(literal -1 binary64) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (.f64 (.f64 v (sqrt.f64 e)) (sqrt.f64 e)) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)) #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 e v) (*.f64 v #s(literal -1/6 binary64)) e)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* e (cos v)) 1) (+.f64 e #s(literal 1 binary64))) #s(approx (* e (sin v)) (.f64 v (fma.f64 #s(literal -1/6 binary64) (.f64 v (*.f64 v e)) e)))))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) #s(approx (+ (* (* e (* v v)) (+ (* (* v v) -1/5040) 1/120)) (* e -1/6)) (.f64 e (fma.f64 (.f64 v v) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) e))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 v (.f64 v (fma.f64 e (.f64 v (.f64 v #s(literal 1/120 binary64))) (.f64 e #s(literal -1/6 binary64)))) e))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) #s(approx (+ (* v (* v (* e (+ (* v (* v 1/24)) -1/2)))) (+ e 1)) (.f64 e (.f64 (.f64 (.f64 v v) (*.f64 v v)) #s(literal 1/24 binary64))))))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) e) v)) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 (.f64 e #s(approx (sin v) (fma.f64 (.f64 v v) (.f64 (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) v) v))) #s(approx (+ 1 ( e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) #s(approx (+ (* v (* v (* e (+ (* v (* v 1/24)) -1/2)))) (+ e 1)) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (*.f64 v v) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) e))))
(/.f64 #s(approx (* e (sin v)) #s(approx (* v (+ (* (* v v) (+ (* (* e (* v v)) (+ (* (* v v) -1/5040) 1/120)) (* e -1/6))) e)) (.f64 (.f64 e (neg.f64 v)) (fma.f64 (.f64 v v) (-.f64 #s(literal 1/6 binary64) (.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1 binary64))))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v #s(approx (+ ( e (* (* v v) -1/6)) e) (.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)))))) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 (.f64 v v) (fma.f64 (.f64 e (.f64 v v)) (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 e #s(literal -1/6 binary64))) e))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 v (.f64 v e)) e) v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (fma.f64 (.f64 (.f64 v v) (.f64 e (fma.f64 v (.f64 v (fma.f64 (.f64 v v) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) v (.f64 e v))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ 1 (* e (cos v))) e) (* (sin v) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (-.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 e #s(literal -1/6 binary64) #s(literal -1/6 binary64)) e)) (/.f64 #s(literal 1 binary64) e))) v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (.f64 v (fma.f64 (.f64 v v) (*.f64 (/.f64 e (+.f64 #s(literal 1 binary64) e)) (fma.f64 #s(literal 1/2 binary64) (/.f64 e (+.f64 #s(literal 1 binary64) e)) #s(literal -1/6 binary64))) (/.f64 e (+.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ (* (cos v) e) 1)) (.f64 v (fma.f64 v (.f64 v (.f64 e (fma.f64 (/.f64 e (.f64 (+.f64 e #s(literal 1 binary64)) (+.f64 e #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) (+.f64 e #s(literal 1 binary64)))))) (/.f64 e (+.f64 e #s(literal 1 binary64))))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (.f64 e (fma.f64 (.f64 v v) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 e #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 e) (/.f64 #s(literal -1 binary64) (sqrt.f64 e))) (.f64 v (.f64 v (.f64 e #s(literal -1/6 binary64))))))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))
(/.f64 #s(approx (* e (sin v)) (.f64 v (fma.f64 e (.f64 (.f64 v v) #s(literal -1/6 binary64)) e))) #s(approx (+ 1 ( e (cos v))) (fma.f64 (.f64 v v) (fma.f64 (.f64 v v) (fma.f64 e #s(literal 1/24 binary64) (.f64 #s(literal -1/720 binary64) (.f64 e (.f64 v v)))) (.f64 e #s(literal -1/2 binary64))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 e e) #s(literal 1/36 binary64)) (.f64 (.f64 v v) (.f64 v v))) (.f64 e e)) v) (fma.f64 (.f64 (.f64 e #s(literal -1/6 binary64)) v) v (neg.f64 e)))) #s(approx (+ 1 (* e (cos v))) (+.f64 #s(literal 1 binary64) e)))

Outputs

(/.f64 #s(approx (* e (sin v)) (*.f64 e v)) #s(approx (+ 1 (* e (cos v))) (fma.f64 v (*.f64 v (*.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))

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
54.8%	1	`e`
54.8%	1	`v`
54.8%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes24.0ms (0.3%)

Memory

19.4MiB live, 58.1MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.9%	1	`v`
53.9%	1	`e`
53.9%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes9.0ms (0.1%)

Memory

-16.2MiB live, 22.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.8%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
53.8%	1	`e`
53.8%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.7%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
53.7%	1	`e`
53.7%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory

-19.8MiB live, 19.0MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	e
2.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))
2.0ms	v

Results

Accuracy	Segments	Branch
53.7%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
53.7%	1	`e`
53.7%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Accuracy

Total -15.7b remaining (-52.4%)

Threshold costs -15.7b (-52.4%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
53.3%	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 #s(literal 1 binary64) (.f64 e (cos.f64 v))))`
53.3%	1	`e`
53.3%	1	`v`

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify10.0ms (0.1%)

Memory

-20.3MiB live, 20.4MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary64`
14×	`+-commutative_binary64`
10×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	198
1	80	197
2	94	197
3	105	197
4	110	197
5	112	197

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))) e)
(*.f64 e (/.f64 (sin.f64 v) (fma.f64 e (cos.f64 v) #s(literal 1 binary64))))
(.f64 (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))) e)
(.f64 e (/.f64 (sin.f64 v) #s(approx (+ ( e (cos v)) 1) (+.f64 e #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 e (sin.f64 v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (*.f64 (sin.f64 v) e))
(/.f64 #s(approx (* e (sin v)) (.f64 e v)) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
(/.f64 #s(approx (* e (sin v)) (.f64 v e)) #s(approx (+ 1 ( e (cos v))) (fma.f64 v (.f64 v (.f64 e (fma.f64 v (*.f64 v #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))) (+.f64 e #s(literal 1 binary64)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 e v) (+.f64 #s(literal 1 binary64) e)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) (/.f64 (*.f64 v e) (+.f64 e #s(literal 1 binary64))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (fma.f64 v e (.f64 (.f64 v (neg.f64 e)) e))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (fma.f64 v e (neg.f64 (.f64 e (.f64 v e))))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (.f64 (+.f64 (neg.f64 e) #s(literal 1 binary64)) v))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (.f64 v (-.f64 #s(literal 1 binary64) e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 e v)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (.f64 e (-.f64 v (.f64 v e)))))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 e v)))
#s(approx (/ (* e (sin v)) (+ 1 (* e (cos v)))) #s(approx (/ (* e v) (+ 1 e)) (*.f64 v e)))

soundness1.1s (13.1%)

Memory

42.7MiB live, 1 102.0MiB allocated

Rules

14 120×	`lower-fma.f64`
14 120×	`lower-fma.f32`
11 278×	`lower-fma.f64`
11 278×	`lower-fma.f32`
10 672×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	1209
1	584	1194
2	1652	1162
3	4907	1089
0	8039	1013
0	406	7591
1	1277	7350
2	3827	7323
0	8777	6844
0	330	6140
1	1040	5925
2	3244	5802
0	8189	5439
0	295	4952
1	918	4828
2	2676	4662
0	8451	4380
0	49	337
0	78	329
1	319	329
2	1943	329
0	8461	318
0	9	29
0	15	29
1	42	29
2	241	29
3	2097	29
0	8370	27

Stop Event

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

Compiler

Compiled 299 to 149 computations (50.2% saved)

preprocess89.0ms (1.1%)

Memory: 6.4MiB live, 239.4MiB allocated
Remove: (negabs v)
Compiler: Compiled 444 to 238 computations (46.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze7.0ms (0.1%)

sample1.2s (15%)

explain121.0ms (1.5%)

preprocess73.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize39.0ms (0.5%)

series13.0ms (0.2%)

simplify268.0ms (3.3%)

rewrite263.0ms (3.2%)

eval57.0ms (0.7%)

prune122.0ms (1.5%)

simplify291.0ms (3.5%)

localize93.0ms (1.1%)

series26.0ms (0.3%)

simplify296.0ms (3.6%)

rewrite268.0ms (3.3%)

eval262.0ms (3.2%)

prune322.0ms (3.9%)

simplify254.0ms (3.1%)

localize140.0ms (1.7%)

series41.0ms (0.5%)

simplify255.0ms (3.1%)

rewrite281.0ms (3.4%)

eval129.0ms (1.6%)

prune170.0ms (2.1%)

simplify164.0ms (2%)

localize155.0ms (1.9%)

series44.0ms (0.5%)

simplify641.0ms (7.8%)

rewrite306.0ms (3.7%)

eval193.0ms (2.3%)

prune232.0ms (2.8%)

regimes68.0ms (0.8%)

regimes57.0ms (0.7%)

regimes50.0ms (0.6%)

regimes44.0ms (0.5%)

regimes24.0ms (0.3%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

simplify10.0ms (0.1%)

soundness1.1s (13.1%)

preprocess89.0ms (1.1%)

end0.0ms (0%)

Profiling