Metrics for VandenBroeck and Keller, Equation (24)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze185.0ms (1.8%)

Memory

12.6MiB live, 211.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	7
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	8
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	9
46.9%	46.8%	53.1%	0.1%	0%	0%	0%	10
46.9%	46.8%	53.1%	0.1%	0%	0%	0%	11
48.4%	48.4%	51.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.0s (10%)

Memory

24.7MiB live, 1 016.2MiB allocated

Samples

783.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 600.0ms

ival-tan: 188.0ms (31.3% of total)

ival-sin: 162.0ms (27% of total)

ival-div: 115.0ms (19.2% of total)

ival-mult: 52.0ms (8.7% of total)

ival-add: 36.0ms (6% of total)

ival-neg: 33.0ms (5.5% of total)

ival-true: 5.0ms (0.8% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain192.0ms (1.9%)

Memory

15.4MiB live, 148.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 1 binary64)`
-	-	`(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))`
-	-	`(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))`
-	-	`(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))`
-	-	`(/.f64 #s(literal 1 binary64) (sin.f64 B))`
-	-	`(/.f64 #s(literal 1 binary64) (tan.f64 B))`
-	-	`(tan.f64 B)`
-	-	`B`
-	-	`(sin.f64 B)`
-	-	`x`

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

54.0ms

512×

valid

Compiler

Compiled 98 to 34 computations (65.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-sin: 11.0ms (28.9% of total)

ival-tan: 10.0ms (26.3% of total)

ival-div: 8.0ms (21% of total)

ival-mult: 4.0ms (10.5% of total)

ival-add: 2.0ms (5.3% of total)

ival-neg: 2.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess43.0ms (0.4%)

Memory

-10.8MiB live, 27.3MiB allocated

Algorithm

1×	egg-herbie

Rules

176×	`lower-fma.f64`
176×	`lower-fma.f32`
128×	`lower-*.f32`
126×	`lower-*.f64`
106×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	68
1	77	46
2	212	45
3	409	45
4	621	45
5	763	45
6	837	45
7	858	45
8	860	45
0	10	12
0	17	12
1	30	9
2	57	9
3	90	9
4	128	9
5	185	9
6	220	9
7	279	9
8	310	9
9	337	9
10	347	9
0	347	9

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))

Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))

Symmetry

(negabs B)

Compiler

Compiled 14 to 10 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify15.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (tan.f64 B))
cost-diff	0	(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
cost-diff	128	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
cost-diff	320	(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))

Rules

176×	`lower-fma.f64`
176×	`lower-fma.f32`
128×	`lower-*.f32`
126×	`lower-*.f64`
64×	`lower--.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
0	17	40
1	30	33
2	57	33
3	90	33
4	128	33
5	185	33
6	220	33
7	279	33
8	310	33
9	337	33
10	347	33
0	347	33

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(sin.f64 B)

Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(neg.f64 (/.f64 x (tan.f64 B)))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(/.f64 x (tan.f64 B))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(sin.f64 B)

localize38.0ms (0.4%)

Memory

0.9MiB live, 38.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
accuracy	0.12109375	(/.f64 #s(literal 1 binary64) (tan.f64 B))
accuracy	0.12890625	(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy	0.234375	(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))

Samples

27.0ms

256×

valid

Compiler

Compiled 42 to 12 computations (71.4% saved)

Precisions

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

ival-sin: 5.0ms (28.6% of total)

ival-tan: 5.0ms (28.6% of total)

ival-div: 3.0ms (17.1% of total)

ival-mult: 2.0ms (11.4% of total)

ival-add: 1.0ms (5.7% of total)

ival-neg: 1.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

-25.4MiB live, 13.9MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())

Outputs
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ x B) (taylor 0 B) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1/3 (* (pow B 2) x))) B) (taylor 0 B) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) (taylor 0 B) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B) (taylor 0 B) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf B) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf B) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf B) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf B) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf B) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf B) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf B) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf B) (#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin B)) (taylor 0 x) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf x) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 x) B) (taylor 0 B) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) (taylor 0 B) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) (taylor 0 B) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) (taylor 0 B) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor 0 x) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor 0 x) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor 0 x) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor 0 x) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf x) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf x) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf x) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf x) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x B)) (taylor 0 B) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/3 (* (pow B 2) x)) x) B) (taylor 0 B) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B) (taylor 0 B) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B) (taylor 0 B) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1/3 (pow B 2))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (cos B) (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (cos B) (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (cos B) (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (cos B) (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (cos B) (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (cos B) (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (cos B) (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (cos B) (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ 1 B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/6 (pow B 2))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	B	@	-inf	(* x (/ 1 (tan B)))
2.0ms	x	@	0	(* x (/ 1 (tan B)))
2.0ms	B	@	inf	(* x (/ 1 (tan B)))
1.0ms	x	@	0	(+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B)))
1.0ms	x	@	inf	(* x (/ 1 (tan B)))

simplify586.0ms (5.7%)

Memory

42.1MiB live, 307.4MiB allocated

Algorithm

1×	egg-herbie

Rules

25 592×	`lower-fma.f64`
25 592×	`lower-fma.f32`
5 136×	`lower-*.f64`
5 136×	`lower-*.f32`
4 098×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	913
1	368	906
2	1218	888
3	4458	883
4	7788	881
0	8237	848

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ x B))
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/ 1 B)
(/ (+ 1 (* -1/3 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ 1 B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))

Outputs
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ x B)
(/.f64 x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(-.f64 (/.f64 x B) (.f64 #s(literal 1/3 binary64) (.f64 x B)))
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/.f64 (fma.f64 (.f64 B B) (.f64 x (fma.f64 B (*.f64 B #s(literal -1/45 binary64)) #s(literal -1/3 binary64))) x) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal -1/3 binary64) (.f64 B (.f64 B (fma.f64 x #s(literal -1/45 binary64) (.f64 (.f64 x (.f64 B B)) #s(literal -2/945 binary64)))))) x) B)
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ (* x (cos B)) (sin B))
(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/.f64 (-.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(fma.f64 (cos.f64 B) (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ x B))
(/.f64 x (neg.f64 B))
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(fma.f64 x (*.f64 B #s(literal 1/3 binary64)) (/.f64 x (neg.f64 B)))
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(fma.f64 B (.f64 (.f64 x (fma.f64 (*.f64 B B) #s(literal 1/45 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 x (neg.f64 B)))
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)
(fma.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 x (.f64 B B)) #s(literal 2/945 binary64) (.f64 x #s(literal 1/45 binary64)))) (.f64 x #s(literal 1/3 binary64))) (.f64 B #s(literal 1 binary64)) (/.f64 x (neg.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ (+ 1 (* -1/3 (pow B 2))) B)
(/.f64 (fma.f64 B (*.f64 B #s(literal -1/3 binary64)) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)
(/.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)
(/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (*.f64 B B) #s(literal -2/945 binary64) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B)
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(/.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))

rewrite154.0ms (1.5%)

Memory

2.2MiB live, 159.3MiB allocated

Rules

3 432×	`lower-fma.f64`
3 432×	`lower-fma.f32`
2 550×	`lower-*.f32`
2 548×	`lower-*.f64`
1 498×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	33
0	17	26
1	59	25
2	376	25
3	4328	25
0	8975	25

Stop Event

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

Counts

5 → 457

Calls

Call 1

Inputs
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))

Outputs
(+.f64 (/.f64 x (tan.f64 B)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))
(exp.f64 (log.f64 (/.f64 x (tan.f64 B))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 B))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 B) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 #s(literal 0 binary64) (tan.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (tan.f64 B))) (/.f64 x (tan.f64 B)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 B)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) x #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (exp.f64 (log.f64 (neg.f64 x))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 x (tan.f64 B)) (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (*.f64 (cos.f64 B) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (cos.f64 B) (/.f64 x (sin.f64 B)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 (tan.f64 B) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (tan.f64 B) x) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64))
(fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) #s(literal 0 binary64))
(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) #s(literal 0 binary64))
(fma.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B))) #s(literal 0 binary64))
(fma.f64 (/.f64 x (sin.f64 B)) (*.f64 (cos.f64 B) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B) #s(literal 0 binary64))
(fma.f64 (*.f64 x (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 B))) (cos.f64 B) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (cos.f64 B) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (sin.f64 B)) (cos.f64 B) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (neg.f64 x)) (sin.f64 B)) (neg.f64 (cos.f64 B)) #s(literal 0 binary64))
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(pow.f64 (tan.f64 B) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (tan.f64 B)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (cos.f64 B))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (cos.f64 B)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B))))
(*.f64 (cos.f64 B) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (cos.f64 B)))
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cos.f64 B) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(*.f64 (neg.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(exp.f64 (neg.f64 (log.f64 (sin.f64 B))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 B))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 B))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 B)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (sin.f64 B))
(/.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (sin.f64 B))
(pow.f64 (sin.f64 B) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (sin.f64 B)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))))
(.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))

eval72.0ms (0.7%)

Memory: -25.8MiB live, 90.1MiB allocated
Compiler: Compiled 9 615 to 1 204 computations (87.5% saved)

prune98.0ms (0.9%)

Memory

3.9MiB live, 159.4MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	532	21	553
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	533	21	554

Accuracy

100.0%

Counts

554 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
	38.4%	(/.f64 (fma.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (sin.f64 B) (/.f64 x (tan.f64 B))) (*.f64 (/.f64 x (tan.f64 B)) (sin.f64 B)))
▶	88.5%	(/.f64 (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B)))
	39.1%	(/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B)))
	29.8%	(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 4 binary64)) (pow.f64 (sin.f64 B) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))) (pow.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal 2 binary64)))
▶	99.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	58.6%	(+.f64 (neg.f64 (.f64 (.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 (tan.f64 B) x))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
	99.7%	(+.f64 (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
	75.7%	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
▶	46.9%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)))
	57.6%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64))))
	54.4%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64))))))
	73.5%	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (exp.f64 (neg.f64 (log.f64 (sin.f64 B)))))
	77.4%	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))
▶	75.3%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
	54.7%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B))
	54.4%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
	54.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B))
▶	53.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
	51.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
	50.7%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))

Compiler

Compiled 784 to 496 computations (36.7% saved)

simplify220.0ms (2.1%)

Memory

15.5MiB live, 172.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 B)
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B))
cost-diff	12736	(/.f64 (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B)))
cost-diff	0	(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))
cost-diff	128	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)))
cost-diff	320	(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff	0	(/.f64 x B)
cost-diff	0	#s(approx (* x (/ 1 (tan B))) (/.f64 x B))
cost-diff	0	(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))
cost-diff	128	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) x) B)
cost-diff	0	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
cost-diff	0	(/.f64 x (tan.f64 B))
cost-diff	0	(sin.f64 B)
cost-diff	0	(/.f64 #s(literal 1 binary64) (sin.f64 B))
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))

Rules

4 464×	`lower-fma.f32`
4 462×	`lower-fma.f64`
3 694×	`lower-*.f32`
3 688×	`lower-*.f64`
1 452×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	208
0	62	202
1	100	187
2	163	187
3	271	187
4	447	187
5	879	187
6	2364	187
7	4519	187
8	6287	187
9	6903	187
10	7081	187
11	7395	187
12	7520	187
13	7792	187
0	8022	184

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(sin.f64 B)
B
(/.f64 x (tan.f64 B))
x
(tan.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
B
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))
#s(approx (* x (/ 1 (tan B))) (/.f64 x B))
(/.f64 x B)
x
B
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(sin.f64 B)
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))
(cos.f64 (+.f64 B B))
(+.f64 B B)
#s(literal -1/2 binary64)
(/.f64 (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B)))
(fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B))
(neg.f64 x)
x
(sin.f64 B)
B
(tan.f64 B)
(*.f64 (tan.f64 B) (sin.f64 B))

Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(sin.f64 B)
B
(/.f64 x (tan.f64 B))
x
(tan.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
B
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))
#s(approx (* x (/ 1 (tan B))) (/.f64 x B))
(/.f64 x B)
x
B
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
(sin.f64 B)
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)))
(-.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 x (tan.f64 B)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(neg.f64 (/.f64 x (tan.f64 B)))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(/.f64 x (tan.f64 B))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))
(fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))
(cos.f64 (+.f64 B B))
(+.f64 B B)
#s(literal -1/2 binary64)
(/.f64 (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B))
(-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x))
(neg.f64 x)
x
(sin.f64 B)
B
(tan.f64 B)
(*.f64 (tan.f64 B) (sin.f64 B))
(*.f64 (sin.f64 B) (tan.f64 B))

localize223.0ms (2.2%)

Memory

-1.6MiB live, 242.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(tan.f64 B)
accuracy	0.06640625	(fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B))
accuracy	0.1484375	(*.f64 (tan.f64 B) (sin.f64 B))
accuracy	7.370519476391423	(/.f64 (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B)))
accuracy	0.12109375	(/.f64 #s(literal 1 binary64) (tan.f64 B))
accuracy	0.234375	(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy	14.649073866481563	(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64))
accuracy	16.546617608623265	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))
accuracy	0	(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))
accuracy	0.01171875	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
accuracy	0.12890625	(/.f64 #s(literal 1 binary64) (sin.f64 B))
accuracy	29.23411204883048	#s(approx (* x (/ 1 (tan B))) (/.f64 x B))
accuracy	0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.01953125	(/.f64 (-.f64 #s(literal 1 binary64) x) B)
accuracy	29.517752901099264	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
accuracy	0.00390625	(tan.f64 B)
accuracy	0.01171875	(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
accuracy	0.1171875	(/.f64 x (tan.f64 B))
accuracy	0.12890625	(/.f64 #s(literal 1 binary64) (sin.f64 B))

Samples

68.0ms	46×	2	valid
54.0ms	81×	1	valid
38.0ms	124×	0	valid
6.0ms	5×	3	valid

Compiler

Compiled 194 to 30 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-tan: 44.0ms (32.2% of total)

ival-cos: 24.0ms (17.6% of total)

ival-pow: 13.0ms (9.5% of total)

ival-div: 13.0ms (9.5% of total)

adjust: 11.0ms (8.1% of total)

ival-mult: 10.0ms (7.3% of total)

ival-sin: 7.0ms (5.1% of total)

ival-add: 6.0ms (4.4% of total)

ival-sub: 5.0ms (3.7% of total)

ival-neg: 3.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series214.0ms (2.1%)

Memory

1.0MiB live, 38.0MiB allocated

Counts

22 → 420

Calls

Call 1

Inputs
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())
#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())
#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) B) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) B) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())
#s(alt (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (patch (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #<representation binary64>) () ())
#s(alt #s(approx (* x (/ 1 (tan B))) (/.f64 x B)) (patch #s(approx (* x (/ 1 (tan B))) (/.f64 x B)) #<representation binary64>) () ())
#s(alt (/.f64 x B) (patch (/.f64 x B) #<representation binary64>) () ())
#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) (patch (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (.f64 (tan.f64 B) (sin.f64 B))) (patch (/.f64 (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (.f64 (tan.f64 B) (sin.f64 B))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())
#s(alt (.f64 (tan.f64 B) (sin.f64 B)) (patch (.f64 (tan.f64 B) (sin.f64 B)) #<representation binary64>) () ())

Outputs
#s(alt (/ (- 1 x) B) (taylor 0 B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B) (taylor 0 B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B) (taylor 0 B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B) (taylor 0 B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor inf B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 (sin B)) (/ (* x (cos B)) (sin B))) (taylor -inf B) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin B)) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B)))) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ 1 B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/6 (pow B 2))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt B (taylor 0 B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ())
#s(alt (* B (+ 1 (* -1/6 (pow B 2)))) (taylor 0 B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ())
#s(alt (* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6)))) (taylor 0 B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ())
#s(alt (* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6)))) (taylor 0 B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ())
#s(alt (sin B) (taylor inf B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ())
#s(alt (sin B) (taylor inf B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ())
#s(alt (sin B) (taylor inf B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ())
#s(alt (sin B) (taylor inf B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ())
#s(alt (sin B) (taylor -inf B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ())
#s(alt (sin B) (taylor -inf B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ())
#s(alt (sin B) (taylor -inf B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ())
#s(alt (sin B) (taylor -inf B) (#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor 0 x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor inf x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (cos B)) (sin B)) (taylor -inf x) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ x B) (taylor 0 B) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1/3 (* (pow B 2) x))) B) (taylor 0 B) (#s(alt (/.f64 x (tan.f64 B)) (patch (/.f64 x (tan.f64 B)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (sin B))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (sin B)) (/ (sin B) (* x (cos B))))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (sin B)) (/ (sin B) (* x (cos B))))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (sin B)) (/ (sin B) (* x (cos B))))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sin B))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (sin B) (* -1 (/ (sin B) (* x (cos B))))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (sin B) (* -1 (/ (sin B) (* x (cos B))))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (sin B) (* -1 (/ (sin B) (* x (cos B))))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* B (+ 1 (* -1 x))) (taylor 0 B) (#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* B (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/3 (* 1/6 x)))))) (taylor 0 B) (#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* B (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/3 (+ (* 1/6 x) (* (pow B 2) (+ 2/15 (* -1/120 x))))))))) (taylor 0 B) (#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* B (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/3 (+ (* 1/6 x) (* (pow B 2) (+ 2/15 (+ (* -1/120 x) (* (pow B 2) (+ 17/315 (* 1/5040 x)))))))))))) (taylor 0 B) (#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x (sin B))) (/ (sin B) (cos B))) (taylor inf B) (#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x (sin B))) (/ (sin B) (cos B))) (taylor inf B) (#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x (sin B))) (/ (sin B) (cos B))) (taylor inf B) (#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x (sin B))) (/ (sin B) (cos B))) (taylor inf B) (#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x (sin B))) (/ (sin B) (cos B))) (taylor -inf B) (#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x (sin B))) (/ (sin B) (cos B))) (taylor -inf B) (#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x (sin B))) (/ (sin B) (cos B))) (taylor -inf B) (#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x (sin B))) (/ (sin B) (cos B))) (taylor -inf B) (#s(alt (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (patch (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt B (taylor 0 B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ())
#s(alt (* B (+ 1 (* 1/3 (pow B 2)))) (taylor 0 B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ())
#s(alt (* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2)))))) (taylor 0 B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ())
#s(alt (* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2)))))))) (taylor 0 B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ())
#s(alt (/ (sin B) (cos B)) (taylor inf B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ())
#s(alt (/ (sin B) (cos B)) (taylor inf B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ())
#s(alt (/ (sin B) (cos B)) (taylor inf B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ())
#s(alt (/ (sin B) (cos B)) (taylor inf B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ())
#s(alt (/ (sin B) (cos B)) (taylor -inf B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ())
#s(alt (/ (sin B) (cos B)) (taylor -inf B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ())
#s(alt (/ (sin B) (cos B)) (taylor -inf B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ())
#s(alt (/ (sin B) (cos B)) (taylor -inf B) (#s(alt (tan.f64 B) (patch (tan.f64 B) #<representation binary64>) () ())) ())
#s(alt (/ 1 B) (taylor 0 B) (#s(alt (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/6 (pow B 2))) B) (taylor 0 B) (#s(alt (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) (taylor 0 B) (#s(alt (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) (taylor 0 B) (#s(alt (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (taylor inf B) (#s(alt (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (taylor inf B) (#s(alt (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (taylor inf B) (#s(alt (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (taylor inf B) (#s(alt (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (taylor -inf B) (#s(alt (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (taylor -inf B) (#s(alt (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (taylor -inf B) (#s(alt (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (taylor -inf B) (#s(alt (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1/3 (pow B 2))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (cos B) (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (cos B) (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (cos B) (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (cos B) (sin B)) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (cos B) (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (cos B) (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (cos B) (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (cos B) (sin B)) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())) ())
#s(alt (pow B 2) (taylor 0 B) (#s(alt (.f64 (tan.f64 B) (sin.f64 B)) (patch (.f64 (tan.f64 B) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* (pow B 2) (+ 1 (* 1/6 (pow B 2)))) (taylor 0 B) (#s(alt (.f64 (tan.f64 B) (sin.f64 B)) (patch (.f64 (tan.f64 B) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* (pow B 2) (+ 1 (* (pow B 2) (+ 1/6 (* 31/360 (pow B 2)))))) (taylor 0 B) (#s(alt (.f64 (tan.f64 B) (sin.f64 B)) (patch (.f64 (tan.f64 B) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* (pow B 2) (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 31/360 (* 173/5040 (pow B 2)))))))) (taylor 0 B) (#s(alt (.f64 (tan.f64 B) (sin.f64 B)) (patch (.f64 (tan.f64 B) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin B) 2) (cos B)) (taylor inf B) (#s(alt (.f64 (tan.f64 B) (sin.f64 B)) (patch (.f64 (tan.f64 B) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin B) 2) (cos B)) (taylor inf B) (#s(alt (.f64 (tan.f64 B) (sin.f64 B)) (patch (.f64 (tan.f64 B) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin B) 2) (cos B)) (taylor inf B) (#s(alt (.f64 (tan.f64 B) (sin.f64 B)) (patch (.f64 (tan.f64 B) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin B) 2) (cos B)) (taylor inf B) (#s(alt (.f64 (tan.f64 B) (sin.f64 B)) (patch (.f64 (tan.f64 B) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin B) 2) (cos B)) (taylor -inf B) (#s(alt (.f64 (tan.f64 B) (sin.f64 B)) (patch (.f64 (tan.f64 B) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin B) 2) (cos B)) (taylor -inf B) (#s(alt (.f64 (tan.f64 B) (sin.f64 B)) (patch (.f64 (tan.f64 B) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin B) 2) (cos B)) (taylor -inf B) (#s(alt (.f64 (tan.f64 B) (sin.f64 B)) (patch (.f64 (tan.f64 B) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (pow (sin B) 2) (cos B)) (taylor -inf B) (#s(alt (.f64 (tan.f64 B) (sin.f64 B)) (patch (.f64 (tan.f64 B) (sin.f64 B)) #<representation binary64>) () ())) ())

Calls

105 calls:

Time	Variable		Point	Expression
182.0ms	B	@	0	(/ (+ (* (neg x) (sin B)) (tan B)) (* (tan B) (sin B)))
4.0ms	B	@	inf	(+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2))
2.0ms	B	@	-inf	(- (/ 1 (sin B)) (/ x (tan B)))
1.0ms	B	@	inf	(/ (+ (* (neg x) (sin B)) (tan B)) (* (tan B) (sin B)))
1.0ms	B	@	-inf	(/ (+ (* (neg x) (sin B)) (tan B)) (* (tan B) (sin B)))

simplify319.0ms (3.1%)

Memory

-6.5MiB live, 266.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18 702×	`lower-fma.f64`
18 702×	`lower-fma.f32`
8 338×	`lower-+.f64`
8 338×	`lower-+.f32`
4 548×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	324	4203
1	990	4143
2	3151	4061
0	8206	3862

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 418

Calls

Call 1

Inputs
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/ 1 B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
B
(* B (+ 1 (* -1/6 (pow B 2))))
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(/ 1 B)
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
(* -1 (/ x B))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* -1 (/ x B))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ x B))
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))
(+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (* -1 (/ (* x (cos B)) (sin B))))
(+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (* -1 (/ (* x (cos B)) (sin B))))
(+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (* -1 (/ (* x (cos B)) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))
(* x (- (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))
(* x (- (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (sin B)))))
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B)))
(pow B 2)
(* (pow B 2) (+ 1 (* -1/3 (pow B 2))))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3))))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/45 (* -1/315 (pow B 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 B))))
(- 1/2 (* 1/2 (cos (* 2 B))))
(- 1/2 (* 1/2 (cos (* 2 B))))
(- 1/2 (* 1/2 (cos (* 2 B))))
(- 1/2 (* 1/2 (cos (neg (* -2 B)))))
(- 1/2 (* 1/2 (cos (neg (* -2 B)))))
(- 1/2 (* 1/2 (cos (neg (* -2 B)))))
(- 1/2 (* 1/2 (cos (neg (* -2 B)))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ x B))
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/ (+ 1 (* -1 x)) B)
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (- (+ 1/3 (* 1/6 x)) (* 1/6 (+ 1 (* -1 x))))))) B)
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (- (+ 1/3 (+ (* 1/6 x) (* (pow B 2) (- (+ 2/15 (* -1/120 x)) (+ (* 31/360 (+ 1 (* -1 x))) (* 1/6 (- (+ 1/3 (* 1/6 x)) (* 1/6 (+ 1 (* -1 x)))))))))) (* 1/6 (+ 1 (* -1 x))))))) B)
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (- (+ 1/3 (+ (* 1/6 x) (* (pow B 2) (- (+ 2/15 (+ (* -1/120 x) (* (pow B 2) (- (+ 17/315 (* 1/5040 x)) (+ (* 173/5040 (+ 1 (* -1 x))) (+ (* 31/360 (- (+ 1/3 (* 1/6 x)) (* 1/6 (+ 1 (* -1 x))))) (* 1/6 (- (+ 2/15 (* -1/120 x)) (+ (* 31/360 (+ 1 (* -1 x))) (* 1/6 (- (+ 1/3 (* 1/6 x)) (* 1/6 (+ 1 (* -1 x)))))))))))))) (+ (* 31/360 (+ 1 (* -1 x))) (* 1/6 (- (+ 1/3 (* 1/6 x)) (* 1/6 (+ 1 (* -1 x)))))))))) (* 1/6 (+ 1 (* -1 x))))))) B)
(/ (* (cos B) (+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))) (pow (sin B) 2))
(/ (* (cos B) (+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))) (pow (sin B) 2))
(/ (* (cos B) (+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))) (pow (sin B) 2))
(/ (* (cos B) (+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))) (pow (sin B) 2))
(/ (* (cos B) (+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))) (pow (sin B) 2))
(/ (* (cos B) (+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))) (pow (sin B) 2))
(/ (* (cos B) (+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))) (pow (sin B) 2))
(/ (* (cos B) (+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))) (pow (sin B) 2))
(/ (sin B) (cos B))
(+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))
(+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))
(+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))
(* -1 (* x (sin B)))
(* x (+ (* -1 (sin B)) (/ (sin B) (* x (cos B)))))
(* x (+ (* -1 (sin B)) (/ (sin B) (* x (cos B)))))
(* x (+ (* -1 (sin B)) (/ (sin B) (* x (cos B)))))
(* -1 (* x (sin B)))
(* -1 (* x (+ (sin B) (* -1 (/ (sin B) (* x (cos B)))))))
(* -1 (* x (+ (sin B) (* -1 (/ (sin B) (* x (cos B)))))))
(* -1 (* x (+ (sin B) (* -1 (/ (sin B) (* x (cos B)))))))
(* B (+ 1 (* -1 x)))
(* B (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/3 (* 1/6 x))))))
(* B (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/3 (+ (* 1/6 x) (* (pow B 2) (+ 2/15 (* -1/120 x)))))))))
(* B (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/3 (+ (* 1/6 x) (* (pow B 2) (+ 2/15 (+ (* -1/120 x) (* (pow B 2) (+ 17/315 (* 1/5040 x))))))))))))
(+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))
(+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))
(+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))
(+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))
(+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))
(+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))
(+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))
(+ (* -1 (* x (sin B))) (/ (sin B) (cos B)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
B
(* B (+ 1 (* 1/3 (pow B 2))))
(* B (+ 1 (* (pow B 2) (+ 1/3 (* 2/15 (pow B 2))))))
(* B (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 2/15 (* 17/315 (pow B 2))))))))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ (sin B) (cos B))
(/ 1 B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))))
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))))
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))))
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B)))))))
(/ 1 B)
(/ (+ 1 (* -1/3 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(pow B 2)
(* (pow B 2) (+ 1 (* 1/6 (pow B 2))))
(* (pow B 2) (+ 1 (* (pow B 2) (+ 1/6 (* 31/360 (pow B 2))))))
(* (pow B 2) (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 31/360 (* 173/5040 (pow B 2))))))))
(/ (pow (sin B) 2) (cos B))
(/ (pow (sin B) 2) (cos B))
(/ (pow (sin B) 2) (cos B))
(/ (pow (sin B) 2) (cos B))
(/ (pow (sin B) 2) (cos B))
(/ (pow (sin B) 2) (cos B))
(/ (pow (sin B) 2) (cos B))
(/ (pow (sin B) 2) (cos B))

Outputs
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
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(* (pow B 2) (+ 1 (* (pow B 2) (+ 1/6 (* 31/360 (pow B 2))))))
(.f64 B (fma.f64 B (.f64 (.f64 B B) (fma.f64 (.f64 B B) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) B))
(* (pow B 2) (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 31/360 (* 173/5040 (pow B 2))))))))
(.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (fma.f64 (*.f64 B B) #s(literal 173/5040 binary64) #s(literal 31/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(/ (pow (sin B) 2) (cos B))
(/.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) (cos.f64 B))
(/ (pow (sin B) 2) (cos B))
(/.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) (cos.f64 B))
(/ (pow (sin B) 2) (cos B))
(/.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) (cos.f64 B))
(/ (pow (sin B) 2) (cos B))
(/.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) (cos.f64 B))
(/ (pow (sin B) 2) (cos B))
(/.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) (cos.f64 B))
(/ (pow (sin B) 2) (cos B))
(/.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) (cos.f64 B))
(/ (pow (sin B) 2) (cos B))
(/.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) (cos.f64 B))
(/ (pow (sin B) 2) (cos B))
(/.f64 (pow.f64 (sin.f64 B) #s(literal 2 binary64)) (cos.f64 B))

rewrite263.0ms (2.5%)

Memory

45.6MiB live, 299.8MiB allocated

Rules

4 552×	`lower-*.f32`
4 546×	`lower-*.f64`
3 868×	`lower-/.f32`
3 856×	`lower-/.f64`
3 456×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	167
0	62	135
1	241	130
2	1828	130
0	8372	130

Stop Event

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

Counts

22 → 868

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(sin.f64 B)
(/.f64 x (tan.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(-.f64 #s(literal 1 binary64) x)
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))
#s(approx (* x (/ 1 (tan B))) (/.f64 x B))
(/.f64 x B)
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B)))
(fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B))
(neg.f64 x)
(tan.f64 B)
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
(*.f64 (tan.f64 B) (sin.f64 B))

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B))))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(-.f64 (/.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (-.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))))
(-.f64 (/.f64 (tan.f64 B) (.f64 (sin.f64 B) (tan.f64 B))) (/.f64 (.f64 (sin.f64 B) x) (*.f64 (sin.f64 B) (tan.f64 B))))
(-.f64 (/.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))) (/.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) (/.f64 x (tan.f64 B)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 B))) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 x (tan.f64 B))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 B B))))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (neg.f64 (/.f64 x (tan.f64 B))))
(neg.f64 (/.f64 (-.f64 (tan.f64 B) (.f64 (sin.f64 B) x)) (neg.f64 (.f64 (sin.f64 B) (tan.f64 B)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (tan.f64 B) (.f64 (sin.f64 B) x))) (.f64 (sin.f64 B) (tan.f64 B))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B)))) (sin.f64 B))) (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (tan.f64 B))))
(/.f64 (-.f64 (tan.f64 B) (.f64 (sin.f64 B) x)) (.f64 (sin.f64 B) (tan.f64 B)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))))
(/.f64 (neg.f64 (-.f64 (tan.f64 B) (.f64 (sin.f64 B) x))) (neg.f64 (.f64 (sin.f64 B) (tan.f64 B))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 B) x) #s(literal 3 binary64))) (pow.f64 (tan.f64 B) #s(literal 3 binary64))) (.f64 (.f64 (sin.f64 B) (tan.f64 B)) (fma.f64 (tan.f64 B) (-.f64 (tan.f64 B) (neg.f64 (.f64 (sin.f64 B) x))) (.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B)))) (sin.f64 B))))
(/.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (neg.f64 (/.f64 x (*.f64 (sin.f64 B) (tan.f64 B)))))))
(/.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64)))) (.f64 (.f64 (sin.f64 B) (tan.f64 B)) (-.f64 (neg.f64 (.f64 (sin.f64 B) x)) (tan.f64 B))))
(/.f64 (-.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (-.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B)))))
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (tan.f64 B)) (sin.f64 B))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x)) (sin.f64 B)) (.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 B))) (neg.f64 (.f64 (sin.f64 B) x))) (neg.f64 (*.f64 (sin.f64 B) (tan.f64 B))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (tan.f64 B) x)) (.f64 (neg.f64 (sin.f64 B)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 B)) (/.f64 (tan.f64 B) x)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 B))) (.f64 (neg.f64 (sin.f64 B)) (neg.f64 x))) (*.f64 (neg.f64 (sin.f64 B)) (neg.f64 (tan.f64 B))))
(/.f64 (-.f64 (neg.f64 (tan.f64 B)) (.f64 (neg.f64 (sin.f64 B)) x)) (neg.f64 (.f64 (sin.f64 B) (tan.f64 B))))
(/.f64 (.f64 (+.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 B) x) #s(literal 3 binary64))) (pow.f64 (tan.f64 B) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (tan.f64 B) (-.f64 (tan.f64 B) (neg.f64 (.f64 (sin.f64 B) x))) (.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x))) (*.f64 (sin.f64 B) (tan.f64 B))))
(/.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 (-.f64 (neg.f64 (.f64 (sin.f64 B) x)) (tan.f64 B)) (*.f64 (sin.f64 B) (tan.f64 B))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B)))) (sin.f64 B)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (tan.f64 B) (.f64 (sin.f64 B) x)))) (neg.f64 (neg.f64 (.f64 (sin.f64 B) (tan.f64 B)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (tan.f64 B))) (neg.f64 (sin.f64 B)))
(/.f64 (.f64 (-.f64 (tan.f64 B) (.f64 (sin.f64 B) x)) #s(literal 1 binary64)) (*.f64 (sin.f64 B) (tan.f64 B)))
(/.f64 (.f64 (+.f64 (neg.f64 (pow.f64 (.f64 (sin.f64 B) x) #s(literal 3 binary64))) (pow.f64 (tan.f64 B) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) (tan.f64 B)))) (fma.f64 (tan.f64 B) (-.f64 (tan.f64 B) (neg.f64 (.f64 (sin.f64 B) x))) (.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x))))
(/.f64 (.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 x x) (neg.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) (tan.f64 B)))) (-.f64 (neg.f64 (.f64 (sin.f64 B) x)) (tan.f64 B)))
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 (sin.f64 B) x)) (sin.f64 B)) (tan.f64 B))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (tan.f64 B) x)) (sin.f64 B)) (*.f64 (sin.f64 B) (neg.f64 (/.f64 (tan.f64 B) x))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 B)) (.f64 (sin.f64 B) x)) (neg.f64 (.f64 (sin.f64 B) (tan.f64 B))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (tan.f64 B))) (neg.f64 (.f64 (sin.f64 B) x))) (.f64 (sin.f64 B) (neg.f64 (neg.f64 (tan.f64 B)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (tan.f64 B) x) (.f64 (sin.f64 B) #s(literal -1 binary64))) (.f64 (sin.f64 B) (/.f64 (tan.f64 B) x)))
(/.f64 (+.f64 (tan.f64 B) (.f64 (sin.f64 B) (.f64 (neg.f64 x) #s(literal 1 binary64)))) (*.f64 (sin.f64 B) (tan.f64 B)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 B)) (.f64 (sin.f64 B) (.f64 #s(literal -1 binary64) (neg.f64 x)))) (neg.f64 (*.f64 (sin.f64 B) (tan.f64 B))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 B)) (.f64 (sin.f64 B) (neg.f64 (neg.f64 x)))) (neg.f64 (.f64 (sin.f64 B) (tan.f64 B))))
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(*.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 B B))))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (tan.f64 B)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (tan.f64 B))))
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 B)))
(pow.f64 (tan.f64 B) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 B) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (tan.f64 B))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (tan.f64 B))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (cos.f64 B))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 B)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 B)))
(*.f64 (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 B) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (cos.f64 B))
(*.f64 (sin.f64 B) (tan.f64 B))
(*.f64 (tan.f64 B) (sin.f64 B))

eval237.0ms (2.3%)

Memory: -14.7MiB live, 267.8MiB allocated
Compiler: Compiled 29 073 to 2 078 computations (92.9% saved)

prune164.0ms (1.6%)

Memory

15.2MiB live, 292.5MiB allocated

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	1 426	31	1 457
Fresh	13	3	16
Picked	3	2	5
Done	0	0	0
Total	1 442	36	1 478

Accuracy

100.0%

Counts

1 478 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
	40.7%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(approx ( x (/ 1 (tan B))) (/.f64 x B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (sin.f64 B) (.f64 (+.f64 #s(literal 0 binary64) #s(approx ( x (/ 1 (tan B))) (/.f64 x B))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) #s(approx ( x (/ 1 (tan B))) (/.f64 x B))) (sin.f64 B)))
	24.8%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 #s(approx ( x (/ 1 (tan B))) (/.f64 x B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))))
	49.6%	(/.f64 #s(approx (+ (* (neg x) (sin B)) (tan B)) (neg.f64 (.f64 x (sin.f64 B)))) (.f64 (tan.f64 B) (sin.f64 B)))
	24.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 (.f64 #s(approx ( x (/ 1 (tan B))) (/.f64 x B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
✓	99.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	77.4%	(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))
	58.6%	(+.f64 (neg.f64 (.f64 (.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 (tan.f64 B) x))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
	99.7%	(+.f64 (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
	77.4%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (/.f64 #s(literal 1 binary64) B)))
▶	46.9%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
	22.8%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (pow.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
	63.9%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	53.7%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (.f64 B (.f64 B #s(literal -1/6 binary64))) B))))
	61.7%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (exp.f64 (neg.f64 (log.f64 (sin.f64 B)))))
	53.5%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)))
	53.8%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)))
	51.0%	#s(approx (/ (+ (* (neg x) (sin B)) (tan B)) (* (tan B) (sin B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
	50.7%	#s(approx (/ (+ (* (neg x) (sin B)) (tan B)) (* (tan B) (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
	54.7%	#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 B (.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B))
	54.4%	#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
	54.5%	#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) B) B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) x) B))
	22.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
	52.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
▶	45.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
	42.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) B) (.f64 B x)) (*.f64 B B)))
	51.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 B (+.f64 #s(literal 1 binary64) x))))
✓	53.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
	33.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
	52.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B))
	49.4%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) x)))
	27.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
▶	29.2%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
	53.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
	53.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)))
▶	43.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))))

Compiler

Compiled 1 175 to 697 computations (40.7% saved)

simplify236.0ms (2.3%)

Memory

-16.0MiB live, 201.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (tan.f64 B))
cost-diff	0	(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
cost-diff	128	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
cost-diff	320	(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff	0	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
cost-diff	320	(*.f64 B #s(literal 1 binary64))
cost-diff	320	(*.f64 #s(literal 1 binary64) (/.f64 B x))
cost-diff	1728	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x B))
cost-diff	0	#s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B))))
cost-diff	0	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))))
cost-diff	1344	(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))
cost-diff	0	#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)
cost-diff	0	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
cost-diff	0	(neg.f64 (cos.f64 B))
cost-diff	0	(sin.f64 B)
cost-diff	0	(/.f64 x (sin.f64 B))
cost-diff	6912	(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))

Rules

9 708×	`lower-fma.f32`
9 702×	`lower-fma.f64`
5 322×	`lower-*.f32`
5 310×	`lower-*.f64`
1 306×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	318
0	85	290
1	155	270
2	317	256
3	792	256
4	2980	256
5	5959	255
0	8174	252

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 x (sin.f64 B))
x
(sin.f64 B)
B
(neg.f64 (cos.f64 B))
(cos.f64 B)
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))))
#s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))
x
(/.f64 #s(literal 1 binary64) (*.f64 x B))
#s(literal 1 binary64)
(*.f64 x B)
B
(/.f64 x (neg.f64 B))
(neg.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))
(-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 B x))
#s(literal 1 binary64)
(/.f64 B x)
B
x
(*.f64 B #s(literal 1 binary64))
(*.f64 B (/.f64 B x))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
#s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (*.f64 B #s(literal -2 binary64)))
(*.f64 B #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)

Outputs
(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (fma.f64 x (cos.f64 B) #s(literal -1 binary64)))
(/.f64 x (sin.f64 B))
x
(sin.f64 B)
B
(neg.f64 (cos.f64 B))
(cos.f64 B)
(/.f64 #s(literal 1 binary64) (sin.f64 B))
#s(literal 1 binary64)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B)))
#s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B))))
#s(approx (/ (- 1 x) B) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
x
(/.f64 #s(literal 1 binary64) (*.f64 x B))
#s(literal 1 binary64)
(*.f64 x B)
B
(/.f64 x (neg.f64 B))
(neg.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64)))
(-.f64 (/.f64 B x) B)
(*.f64 #s(literal 1 binary64) (/.f64 B x))
(/.f64 B x)
#s(literal 1 binary64)
(/.f64 B x)
B
x
(*.f64 B #s(literal 1 binary64))
B
(*.f64 B (/.f64 B x))
(/.f64 (*.f64 B B) x)
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(-.f64 #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (/.f64 x (tan.f64 B)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 (neg.f64 x) (tan.f64 B))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(/.f64 x (tan.f64 B))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
#s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
#s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))
(cos.f64 (*.f64 B #s(literal -2 binary64)))
(*.f64 B #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)

localize291.0ms (2.8%)

Memory

-0.3MiB live, 311.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.15625	(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
accuracy	0.234375	(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
accuracy	15.183225343827106	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
accuracy	16.546617608623265	(fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy	0	(*.f64 #s(literal 1 binary64) (/.f64 B x))
accuracy	0.1328125	(*.f64 B (/.f64 B x))
accuracy	19.012632429765233	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))
accuracy	29.517752901099264	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
accuracy	0	#s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B))))
accuracy	0.23520981171135028	(/.f64 #s(literal 1 binary64) (*.f64 x B))
accuracy	6.64276161945368	(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))
accuracy	29.517752901099264	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))))
accuracy	0.01953125	(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)
accuracy	29.517752901099264	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
accuracy	31.608500285260284	#s(approx (- 1 x) #s(literal 1 binary64))
accuracy	0	(cos.f64 B)
accuracy	0.0859375	(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
accuracy	0.1171875	(/.f64 x (sin.f64 B))
accuracy	0.12890625	(/.f64 #s(literal 1 binary64) (sin.f64 B))

Samples

94.0ms	74×	2	valid
59.0ms	124×	0	valid
58.0ms	18×	3	valid
27.0ms	40×	1	valid

Compiler

Compiled 245 to 46 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 202.0ms

ival-cos: 54.0ms (26.7% of total)

ival-tan: 44.0ms (21.8% of total)

ival-mult: 21.0ms (10.4% of total)

ival-div: 21.0ms (10.4% of total)

adjust: 19.0ms (9.4% of total)

ival-pow: 14.0ms (6.9% of total)

ival-add: 10.0ms (4.9% of total)

ival-sin: 7.0ms (3.5% of total)

ival-sub: 5.0ms (2.5% of total)

ival-neg: 4.0ms (2% of total)

ival-sqrt: 3.0ms (1.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series43.0ms (0.4%)

Memory

10.7MiB live, 46.6MiB allocated

Counts

25 → 480

Calls

Call 1

Inputs
#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())
#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())
#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())
#s(alt (neg.f64 (cos.f64 B)) (patch (neg.f64 (cos.f64 B)) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B) (patch (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B) #<representation binary64>) () ())
#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 x B)) (/.f64 x (neg.f64 B))) (patch (fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 x B)) (/.f64 x (neg.f64 B))) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 x B)) (/.f64 x (neg.f64 B))))) (patch #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 x B)) (/.f64 x (neg.f64 B)))) (patch #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (.f64 x B)) (/.f64 x (neg.f64 B)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x B)) (patch (/.f64 #s(literal 1 binary64) (.f64 x B)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (.f64 B (/.f64 B x))) (patch (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (.f64 B (/.f64 B x))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1 binary64) (/.f64 B x)) (patch (.f64 #s(literal 1 binary64) (/.f64 B x)) #<representation binary64>) () ())
#s(alt (.f64 B #s(literal 1 binary64)) (patch (.f64 B #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (.f64 B (/.f64 B x)))) (patch #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))) #<representation binary64>) () ())
#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sin.f64 B)) (patch (/.f64 #s(literal 1 binary64) (sin.f64 B)) #<representation binary64>) () ())
#s(alt (cos.f64 B) (patch (cos.f64 B) #<representation binary64>) () ())
#s(alt (.f64 B (/.f64 B x)) (patch (.f64 B (/.f64 B x)) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (sin B)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) B) (taylor 0 B) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* -1 (- (* -1/2 x) (* -1/6 x))))))) B) (taylor 0 B) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ 7/360 (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))))) B) (taylor 0 B) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ 7/360 (+ (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (* (pow B 2) (+ 31/15120 (* -1 (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x))))))))))))))))) B) (taylor 0 B) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor inf B) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor inf B) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor inf B) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor inf B) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor -inf B) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor -inf B) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor -inf B) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor -inf B) (#s(alt (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (patch (fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #<representation binary64>) () ())) ())
#s(alt (/ x (sin B)) (taylor 0 x) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ x (sin B)) (taylor 0 x) (#s(alt (/.f64 x (sin.f64 B)) (patch (/.f64 x (sin.f64 B)) #<representation binary64>) () ())) ())
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#s(alt (/ (pow B 2) x) (taylor inf x) (#s(alt (.f64 B (/.f64 B x)) (patch (.f64 B (/.f64 B x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow B 2) x) (taylor inf x) (#s(alt (.f64 B (/.f64 B x)) (patch (.f64 B (/.f64 B x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow B 2) x) (taylor -inf x) (#s(alt (.f64 B (/.f64 B x)) (patch (.f64 B (/.f64 B x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow B 2) x) (taylor -inf x) (#s(alt (.f64 B (/.f64 B x)) (patch (.f64 B (/.f64 B x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow B 2) x) (taylor -inf x) (#s(alt (.f64 B (/.f64 B x)) (patch (.f64 B (/.f64 B x)) #<representation binary64>) () ())) ())
#s(alt (/ (pow B 2) x) (taylor -inf x) (#s(alt (.f64 B (/.f64 B x)) (patch (.f64 B (/.f64 B x)) #<representation binary64>) () ())) ())
#s(alt (pow B 2) (taylor 0 B) (#s(alt (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow B 2) (+ 1 (* -1/3 (pow B 2)))) (taylor 0 B) (#s(alt (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3)))) (taylor 0 B) (#s(alt (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/45 (* -1/315 (pow B 2)))) 1/3)))) (taylor 0 B) (#s(alt (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (* -2 B)))) (taylor inf B) (#s(alt (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (* -2 B)))) (taylor inf B) (#s(alt (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (* -2 B)))) (taylor inf B) (#s(alt (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (* -2 B)))) (taylor inf B) (#s(alt (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (* -2 B)))) (taylor -inf B) (#s(alt (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (* -2 B)))) (taylor -inf B) (#s(alt (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (* -2 B)))) (taylor -inf B) (#s(alt (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (* -2 B)))) (taylor -inf B) (#s(alt (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 B) (taylor 0 B) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/6 (pow B 2))) B) (taylor 0 B) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) (taylor 0 B) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) (taylor 0 B) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) (taylor inf B) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) (taylor inf B) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) (taylor inf B) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) (taylor inf B) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) (taylor -inf B) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) (taylor -inf B) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) (taylor -inf B) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) (taylor -inf B) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow B 2)) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/3 (pow B 2))) (pow B 2)) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow B 2) (+ 1/3 (* 1/15 (pow B 2))))) (pow B 2)) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/15 (* 2/189 (pow B 2))))))) (pow B 2)) (taylor 0 B) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) (taylor inf B) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) (taylor -inf B) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())

Calls

120 calls:

Time	Variable		Point	Expression
7.0ms	B	@	-inf	(/ (- (* 1 (/ B x)) (* B 1)) (* B (/ B x)))
1.0ms	B	@	inf	(+ (* (/ x (sin B)) (neg (cos B))) (/ 1 (sin B)))
1.0ms	B	@	-inf	(+ (* (/ x (sin B)) (neg (cos B))) (/ 1 (sin B)))
1.0ms	B	@	0	(/ (- (* 1 (/ B x)) (* B 1)) (* B (/ B x)))
1.0ms	B	@	0	(+ (* (/ x (sin B)) (neg (cos B))) (/ 1 (sin B)))

simplify402.0ms (3.9%)

Memory

46.6MiB live, 461.6MiB allocated

Algorithm

1×	egg-herbie

Rules

19 078×	`lower-fma.f64`
19 078×	`lower-fma.f32`
7 144×	`lower-+.f64`
7 144×	`lower-+.f32`
4 730×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	341	3873
1	949	3835
2	2962	3773
0	8122	3604

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 467

Calls

Call 1

Inputs
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/ (+ 1 (* -1 x)) B)
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* -1 (- (* -1/2 x) (* -1/6 x))))))) B)
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ 7/360 (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))))) B)
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ 7/360 (+ (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (* (pow B 2) (+ 31/15120 (* -1 (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x))))))))))))))))) B)
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(/ x (sin B))
(/ x (sin B))
(/ x (sin B))
(/ x (sin B))
(/ x (sin B))
(/ x (sin B))
(/ x (sin B))
(/ x (sin B))
(/ x (sin B))
(/ x (sin B))
(/ x (sin B))
(/ x (sin B))
(/ x B)
(/ (+ x (* 1/6 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/5040 x) (+ (* 1/720 x) (* 1/6 (+ (* -1/36 x) (* 1/120 x))))))) (+ (* -1/36 x) (* 1/120 x)))) (* -1/6 x)))) B)
(/ x (sin B))
(/ x (sin B))
(/ x (sin B))
(/ x (sin B))
(/ x (sin B))
(/ x (sin B))
(/ x (sin B))
(/ x (sin B))
B
(* B (+ 1 (* -1/6 (pow B 2))))
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
-1
(- (* 1/2 (pow B 2)) 1)
(- (* (pow B 2) (+ 1/2 (* -1/24 (pow B 2)))) 1)
(- (* (pow B 2) (+ 1/2 (* (pow B 2) (- (* 1/720 (pow B 2)) 1/24)))) 1)
(* -1 (cos B))
(* -1 (cos B))
(* -1 (cos B))
(* -1 (cos B))
(* -1 (cos B))
(* -1 (cos B))
(* -1 (cos B))
(* -1 (cos B))
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(/ 1 B)
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
(* -1 (/ x B))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* -1 (/ x B))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(/ 1 B)
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
(* -1 (/ x B))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* -1 (/ x B))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(/ (+ 1 (* -1 x)) B)
(/ (+ 1 (* -1 x)) B)
(/ (+ 1 (* -1 x)) B)
(/ (+ 1 (* -1 x)) B)
(/ (+ 1 (* -1 x)) B)
(/ (+ 1 (* -1 x)) B)
(/ (+ 1 (* -1 x)) B)
(/ (+ 1 (* -1 x)) B)
(* -1 (/ (- x 1) B))
(* -1 (/ (- x 1) B))
(* -1 (/ (- x 1) B))
(* -1 (/ (- x 1) B))
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(/ 1 B)
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
(* -1 (/ x B))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* -1 (/ x B))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ 1 (* B x))
(/ (* x (- (/ 1 x) 1)) B)
(/ (* x (- (/ 1 x) 1)) B)
(/ (* x (- (/ 1 x) 1)) B)
(/ (* x (- (/ 1 x) 1)) B)
(/ (* x (- (/ 1 x) 1)) B)
(/ (* x (- (/ 1 x) 1)) B)
(/ (* x (- (/ 1 x) 1)) B)
(/ (* x (- (/ 1 x) 1)) B)
(* -1 (/ (* x (- 1 (/ 1 x))) B))
(* -1 (/ (* x (- 1 (/ 1 x))) B))
(* -1 (/ (* x (- 1 (/ 1 x))) B))
(* -1 (/ (* x (- 1 (/ 1 x))) B))
(/ 1 B)
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
(* -1 (/ x B))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* -1 (/ x B))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(/ B x)
(/ B x)
(/ B x)
(/ B x)
(/ B x)
(/ B x)
(/ B x)
(/ B x)
(/ B x)
(/ B x)
(/ B x)
(/ B x)
(/ B x)
(/ B x)
(/ B x)
(/ B x)
(/ B x)
(/ B x)
(/ B x)
(/ B x)
(/ B x)
(/ B x)
(/ B x)
(/ B x)
B
B
B
B
B
B
B
B
B
B
B
B
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))
(+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (* -1 (/ (* x (cos B)) (sin B))))
(+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (* -1 (/ (* x (cos B)) (sin B))))
(+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (* -1 (/ (* x (cos B)) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))
(* x (- (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))
(* x (- (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (sin B)))))
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ x B))
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/ 1 B)
(/ (+ 1 (* -1/3 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ 1 B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
1
(+ 1 (* -1/2 (pow B 2)))
(+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2)))
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2)))
(cos B)
(cos B)
(cos B)
(cos B)
(cos B)
(cos B)
(cos B)
(cos B)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(/ (pow B 2) x)
(pow B 2)
(* (pow B 2) (+ 1 (* -1/3 (pow B 2))))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3))))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/45 (* -1/315 (pow B 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* -2 B))))
(+ 1/2 (* -1/2 (cos (* -2 B))))
(+ 1/2 (* -1/2 (cos (* -2 B))))
(+ 1/2 (* -1/2 (cos (* -2 B))))
(+ 1/2 (* -1/2 (cos (* -2 B))))
(+ 1/2 (* -1/2 (cos (* -2 B))))
(+ 1/2 (* -1/2 (cos (* -2 B))))
(+ 1/2 (* -1/2 (cos (* -2 B))))
(/ 1 B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(/ 1 (pow B 2))
(/ (+ 1 (* 1/3 (pow B 2))) (pow B 2))
(/ (+ 1 (* (pow B 2) (+ 1/3 (* 1/15 (pow B 2))))) (pow B 2))
(/ (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/15 (* 2/189 (pow B 2))))))) (pow B 2))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))

Outputs
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(fma.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/ (+ 1 (* -1 x)) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (* -1 (- (* -1/2 x) (* -1/6 x))))))) B)
(/.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) B) B (-.f64 #s(literal 1 binary64) x)) B)
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ 7/360 (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x))))))))))) B)
(/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 x #s(literal -1/24 binary64) (fma.f64 x #s(literal 23/360 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)
(/ (+ 1 (+ (* -1 x) (* (pow B 2) (+ 1/6 (+ (* -1 (- (* -1/2 x) (* -1/6 x))) (* (pow B 2) (+ 7/360 (+ (* -1 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (* (pow B 2) (+ 31/15120 (* -1 (- (* -1/720 x) (+ (* -1/6 (- (* 1/24 x) (+ (* -1/6 (- (* -1/2 x) (* -1/6 x))) (* 1/120 x)))) (+ (* -1/5040 x) (* 1/120 (- (* -1/2 x) (* -1/6 x))))))))))))))))) B)
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(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B)))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ x B))
(/.f64 (neg.f64 x) B)
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(/.f64 (.f64 x (fma.f64 (.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/.f64 (fma.f64 (.f64 B B) (.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)
(/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (.f64 x #s(literal 2/945 binary64)) (.f64 x #s(literal 1/45 binary64))) (.f64 x #s(literal 1/3 binary64))) (neg.f64 x)) B)
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ (+ 1 (* -1/3 (pow B 2))) B)
(/.f64 (fma.f64 (*.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)
(/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) #s(literal -1/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)
(/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (*.f64 B B) #s(literal -2/945 binary64) #s(literal -1/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) B)
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ (cos B) (sin B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow B 2)))
(fma.f64 B (*.f64 B #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2)))
(fma.f64 (.f64 B B) (fma.f64 (.f64 B B) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2)))
(fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (*.f64 B B) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos B)
(cos.f64 B)
(cos B)
(cos.f64 B)
(cos B)
(cos.f64 B)
(cos B)
(cos.f64 B)
(cos B)
(cos.f64 B)
(cos B)
(cos.f64 B)
(cos B)
(cos.f64 B)
(cos B)
(cos.f64 B)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(/ (pow B 2) x)
(/.f64 (*.f64 B B) x)
(pow B 2)
(*.f64 B B)
(* (pow B 2) (+ 1 (* -1/3 (pow B 2))))
(.f64 B (fma.f64 B (.f64 (*.f64 B B) #s(literal -1/3 binary64)) B))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* 2/45 (pow B 2)) 1/3))))
(.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 B (.f64 B #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow B 2) (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 2/45 (* -1/315 (pow B 2)))) 1/3))))
(.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (fma.f64 (*.f64 B B) #s(literal -1/315 binary64) #s(literal 2/45 binary64))) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1/2 (* -1/2 (cos (* -2 B))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 B))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 B))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 B))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 B))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 B))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 B))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* -2 B))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) (fma.f64 (*.f64 B B) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (pow B 2))
(/.f64 #s(literal 1 binary64) (*.f64 B B))
(/ (+ 1 (* 1/3 (pow B 2))) (pow B 2))
(/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))
(/ (+ 1 (* (pow B 2) (+ 1/3 (* 1/15 (pow B 2))))) (pow B 2))
(/.f64 (fma.f64 (.f64 B B) (fma.f64 (.f64 B B) #s(literal 1/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 B B))
(/ (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/15 (* 2/189 (pow B 2))))))) (pow B 2))
(/.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 2/189 binary64) #s(literal 1/15 binary64))) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))

rewrite308.0ms (3%)

Memory

19.6MiB live, 369.2MiB allocated

Rules

4 864×	`lower-*.f32`
4 852×	`lower-*.f64`
4 398×	`lower-/.f32`
4 380×	`lower-/.f64`
4 324×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	250
0	85	228
1	331	207
2	2419	181
0	9062	181

Stop Event

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

Counts

25 → 1 151

Calls

Call 1

Inputs
(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 x (sin.f64 B))
(sin.f64 B)
(neg.f64 (cos.f64 B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)
#s(approx (- 1 x) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))))
#s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B))))
(/.f64 #s(literal 1 binary64) (*.f64 x B))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x)))
(*.f64 #s(literal 1 binary64) (/.f64 B x))
(*.f64 B #s(literal 1 binary64))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(cos.f64 B)
(*.f64 B (/.f64 B x))
(fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B))))
(+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x (cos.f64 B)) #s(literal 1 binary64)) (sin.f64 B)))
(-.f64 (/.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 (-.f64 (neg.f64 (.f64 x (cos.f64 B))) #s(literal 1 binary64)) (sin.f64 B))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (-.f64 (neg.f64 (.f64 x (cos.f64 B))) #s(literal 1 binary64)) (sin.f64 B))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) (/.f64 x (tan.f64 B)))
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
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eval297.0ms (2.9%)

Memory: -16.0MiB live, 421.8MiB allocated
Compiler: Compiled 30 704 to 2 588 computations (91.6% saved)

prune389.0ms (3.8%)

Memory

-7.9MiB live, 638.9MiB allocated

Pruning

47 alts after pruning (43 fresh and 4 done)

	Pruned	Kept	Total
New	1 620	19	1 639
Fresh	5	24	29
Picked	3	2	5
Done	0	2	2
Total	1 628	47	1 675

Accuracy

100.0%

Counts

1 675 → 47

Alt Table

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Status	Accuracy	Program
	77.4%	(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))
	99.7%	(fma.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
	40.7%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(approx ( x (/ 1 (tan B))) (/.f64 x B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (sin.f64 B) (.f64 (+.f64 #s(literal 0 binary64) #s(approx ( x (/ 1 (tan B))) (/.f64 x B))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) #s(approx ( x (/ 1 (tan B))) (/.f64 x B))) (sin.f64 B)))
	24.8%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 #s(approx ( x (/ 1 (tan B))) (/.f64 x B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))))
▶	99.7%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
	49.6%	(/.f64 #s(approx (+ (* (neg x) (sin B)) (tan B)) (neg.f64 (.f64 x (sin.f64 B)))) (.f64 (tan.f64 B) (sin.f64 B)))
	24.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 (.f64 #s(approx ( x (/ 1 (tan B))) (/.f64 x B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
✓	99.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	77.4%	(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))
	46.8%	(+.f64 (/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
	77.4%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (/.f64 #s(literal 1 binary64) B)))
▶	48.8%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
	22.8%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (pow.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
	63.9%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	53.7%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (.f64 B (.f64 B #s(literal -1/6 binary64))) B))))
	61.7%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (exp.f64 (neg.f64 (log.f64 (sin.f64 B)))))
▶	53.5%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)))
	53.8%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)))
	51.0%	#s(approx (/ (+ (* (neg x) (sin B)) (tan B)) (* (tan B) (sin B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
	50.7%	#s(approx (/ (+ (* (neg x) (sin B)) (tan B)) (* (tan B) (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
	54.7%	#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 B (.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B))
	54.4%	#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
	54.5%	#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) B) B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) x) B))
	54.4%	#s(approx (+ (* (/ x (sin B)) (neg (cos B))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) B) B (-.f64 #s(literal 1 binary64) x)) B))
	22.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
	26.7%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 (/.f64 (/.f64 B x) B) (/.f64 x B) (neg.f64 (.f64 (/.f64 B (.f64 B B)) x))))
	34.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 (/.f64 x B) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 B (.f64 B B)) x))))
	34.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (/.f64 x B) B (.f64 x (neg.f64 x))) (.f64 x B)))
	42.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 x (neg.f64 B) B) (*.f64 B B)))
	52.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
	24.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 (.f64 B B) x) (.f64 B B)) (.f64 B (/.f64 (.f64 B B) x))))
	39.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 B x) B) (/.f64 (*.f64 B B) x)))
	51.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 B (+.f64 x #s(literal 1 binary64)))))
✓	53.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
	33.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
	52.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B))
▶	49.4%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
▶	27.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
✓	29.2%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
	53.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
	42.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (.f64 (/.f64 B (.f64 B B)) x)))
	36.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 (fma.f64 x (neg.f64 B) B) (.f64 B (*.f64 x B))) x))
	53.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)))
	38.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (-.f64 (/.f64 B x) B) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 B B)) x)))
	21.7%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) B)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) B))))
✓	43.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))))
	43.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (neg.f64 B)))))

Compiler

Compiled 1 521 to 873 computations (42.6% saved)

simplify226.0ms (2.2%)

Memory

-40.2MiB live, 289.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (tan.f64 B))
cost-diff	0	(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
cost-diff	128	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
cost-diff	320	(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
cost-diff	0	(/.f64 x B)
cost-diff	0	#s(approx (* x (/ 1 (tan B))) (/.f64 x B))
cost-diff	0	(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))
cost-diff	128	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)))
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff	0	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
cost-diff	320	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B))
cost-diff	1216	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64)))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- 1 x) (neg.f64 x))
cost-diff	0	(/.f64 #s(approx (- 1 x) (neg.f64 x)) B)
cost-diff	0	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
cost-diff	0	(cos.f64 B)
cost-diff	0	(*.f64 x (cos.f64 B))
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))

Rules

9 302×	`lower-fma.f32`
9 296×	`lower-fma.f64`
2 154×	`lower-+.f32`
2 148×	`lower-+.f64`
1 990×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	410
0	98	410
1	165	384
2	285	384
3	506	384
4	882	384
5	1645	372
6	2519	372
7	4299	372
8	7584	372
0	8233	366

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
#s(literal 1 binary64)
(*.f64 x (cos.f64 B))
x
(cos.f64 B)
B
(sin.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
(/.f64 #s(approx (- 1 x) (neg.f64 x)) B)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) B)
B
(+.f64 x #s(literal 1 binary64))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)))
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))
#s(approx (* x (/ 1 (tan B))) (/.f64 x B))
(/.f64 x B)
x
B
#s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))
(/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)
(fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))
(*.f64 B B)
#s(literal 7/360 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
#s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))))
(sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))
#s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))
(/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))
(fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 B #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 B B)

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
#s(literal 1 binary64)
(*.f64 x (cos.f64 B))
x
(cos.f64 B)
B
(sin.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
(/.f64 #s(approx (- 1 x) (neg.f64 x)) B)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
B
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) B))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) B)
B
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)))
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))
#s(approx (* x (/ 1 (tan B))) (/.f64 x B))
(/.f64 x B)
x
B
#s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))
#s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B))
(/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)
(/.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)
(fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (.f64 B B) (fma.f64 B (.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)))
(.f64 B (fma.f64 B (.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))
(fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64))
(*.f64 B B)
#s(literal 7/360 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(-.f64 #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 B B) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 B B))))) (/.f64 x (tan.f64 B)))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 (neg.f64 x) (tan.f64 B))
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(/.f64 x (tan.f64 B))
x
(/.f64 #s(literal 1 binary64) (tan.f64 B))
#s(literal 1 binary64)
(tan.f64 B)
B
#s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))))
#s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 B B) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 B B)))))
(sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))
(sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 B B) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 B B))))
#s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))
#s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 (.f64 B B) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 B B)))
(/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))
(/.f64 (fma.f64 (.f64 B B) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 B B))
(fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 B B) #s(literal 1/3 binary64) #s(literal 1 binary64))
(*.f64 B #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 B B)

localize695.0ms (6.7%)

Memory

20.9MiB live, 533.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.296875	(*.f64 B #s(literal 1/3 binary64))
accuracy	14.71784345175923	(/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))
accuracy	15.183225343827106	(sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))
accuracy	25.454919335070883	#s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))
accuracy	0.2265625	(.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)))
accuracy	2.3071794697789354	(/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)
accuracy	29.23411204883048	#s(approx (* x (/ 1 (tan B))) (/.f64 x B))
accuracy	29.329092170598713	#s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))
accuracy	0	(*.f64 x x)
accuracy	3.8129674400006603	(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B))
accuracy	5.45605805783008	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64)))
accuracy	29.517752901099264	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
accuracy	0	(neg.f64 x)
accuracy	0.01953125	(/.f64 #s(approx (- 1 x) (neg.f64 x)) B)
accuracy	29.517752901099264	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
accuracy	31.18007111249764	#s(approx (- 1 x) (neg.f64 x))
accuracy	0	(sin.f64 B)
accuracy	0	(cos.f64 B)
accuracy	0.1171875	(*.f64 x (cos.f64 B))
accuracy	0.13671875	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))

Samples

257.0ms	74×	2	valid
156.0ms	124×	0	valid
63.0ms	18×	3	valid
33.0ms	40×	1	valid

Compiler

Compiled 283 to 55 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 470.0ms

ival-mult: 111.0ms (23.6% of total)

ival-cos: 95.0ms (20.2% of total)

ival-pow: 83.0ms (17.6% of total)

ival-tan: 45.0ms (9.6% of total)

ival-sqrt: 32.0ms (6.8% of total)

ival-add: 32.0ms (6.8% of total)

ival-div: 24.0ms (5.1% of total)

adjust: 23.0ms (4.9% of total)

const: 11.0ms (2.3% of total)

ival-sub: 6.0ms (1.3% of total)

ival-sin: 5.0ms (1.1% of total)

ival-neg: 2.0ms (0.4% of total)

exact: 1.0ms (0.2% of total)

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

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

series127.0ms (1.2%)

Memory

-42.7MiB live, 43.2MiB allocated

Counts

29 → 528

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (patch (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) #<representation binary64>) () ())
#s(alt (.f64 x (cos.f64 B)) (patch (.f64 x (cos.f64 B)) #<representation binary64>) () ())
#s(alt (cos.f64 B) (patch (cos.f64 B) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) B) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) B) #<representation binary64>) () ())
#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64)))) (patch #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) (patch (+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))) #<representation binary64>) () ())
#s(alt (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (patch (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #<representation binary64>) () ())
#s(alt #s(approx (* x (/ 1 (tan B))) (/.f64 x B)) (patch #s(approx (* x (/ 1 (tan B))) (/.f64 x B)) #<representation binary64>) () ())
#s(alt (/.f64 x B) (patch (/.f64 x B) #<representation binary64>) () ())
#s(alt (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) (patch (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))))) (patch (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))))) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (patch (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (tan.f64 B)) (patch (/.f64 #s(literal 1 binary64) (tan.f64 B)) #<representation binary64>) () ())
#s(alt (sin.f64 B) (patch (sin.f64 B) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)) (patch #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) (patch (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B) #<representation binary64>) () ())
#s(alt (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) (patch (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))) (patch #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) (patch (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) #<representation binary64>) () ())
#s(alt (.f64 B #s(literal 1/3 binary64)) (patch (.f64 B #s(literal 1/3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ 1 (sin B)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B))) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B))))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (cos B)) (sin B))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B)))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 x) B) (taylor 0 B) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* (pow B 2) (- (* 1/2 x) (* -1/6 (- 1 x))))) x) B) (taylor 0 B) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B) (taylor 0 B) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B) (taylor 0 B) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* x (cos B))) (sin B)) (taylor inf B) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* x (cos B))) (sin B)) (taylor inf B) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* x (cos B))) (sin B)) (taylor inf B) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* x (cos B))) (sin B)) (taylor inf B) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* x (cos B))) (sin B)) (taylor -inf B) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* x (cos B))) (sin B)) (taylor -inf B) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* x (cos B))) (sin B)) (taylor -inf B) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* x (cos B))) (sin B)) (taylor -inf B) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (sin.f64 B)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (patch (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x (cos B)))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) (patch (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) (taylor inf B) (#s(alt #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))) (patch #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) (taylor -inf B) (#s(alt #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))) (patch #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) (taylor -inf B) (#s(alt #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))) (patch #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) (taylor -inf B) (#s(alt #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))) (patch #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))) (taylor -inf B) (#s(alt #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))) (patch #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))) #<representation binary64>) () ())) ())
#s(alt (/ 1 B) (taylor 0 B) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/6 (pow B 2))) B) (taylor 0 B) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B) (taylor 0 B) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B) (taylor 0 B) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) (taylor inf B) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) (taylor inf B) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) (taylor inf B) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) (taylor inf B) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) (taylor -inf B) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) (taylor -inf B) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) (taylor -inf B) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) #<representation binary64>) () ())) ())
#s(alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))) (taylor -inf B) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow B 2)) (taylor 0 B) (#s(alt (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) (patch (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/3 (pow B 2))) (pow B 2)) (taylor 0 B) (#s(alt (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) (patch (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/3 (pow B 2))) (pow B 2)) (taylor 0 B) (#s(alt (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) (patch (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/3 (pow B 2))) (pow B 2)) (taylor 0 B) (#s(alt (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) (patch (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor inf B) (#s(alt (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) (patch (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (/ 1 (pow B 2))) (taylor inf B) (#s(alt (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) (patch (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (/ 1 (pow B 2))) (taylor inf B) (#s(alt (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) (patch (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (/ 1 (pow B 2))) (taylor inf B) (#s(alt (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) (patch (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor -inf B) (#s(alt (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) (patch (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (/ 1 (pow B 2))) (taylor -inf B) (#s(alt (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) (patch (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (/ 1 (pow B 2))) (taylor -inf B) (#s(alt (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) (patch (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (/ 1 (pow B 2))) (taylor -inf B) (#s(alt (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) (patch (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 B) (taylor 0 B) (#s(alt (.f64 B #s(literal 1/3 binary64)) (patch (.f64 B #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 B) (taylor 0 B) (#s(alt (.f64 B #s(literal 1/3 binary64)) (patch (.f64 B #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 B) (taylor 0 B) (#s(alt (.f64 B #s(literal 1/3 binary64)) (patch (.f64 B #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 B) (taylor 0 B) (#s(alt (.f64 B #s(literal 1/3 binary64)) (patch (.f64 B #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 B) (taylor inf B) (#s(alt (.f64 B #s(literal 1/3 binary64)) (patch (.f64 B #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 B) (taylor inf B) (#s(alt (.f64 B #s(literal 1/3 binary64)) (patch (.f64 B #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 B) (taylor inf B) (#s(alt (.f64 B #s(literal 1/3 binary64)) (patch (.f64 B #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 B) (taylor inf B) (#s(alt (.f64 B #s(literal 1/3 binary64)) (patch (.f64 B #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 B) (taylor -inf B) (#s(alt (.f64 B #s(literal 1/3 binary64)) (patch (.f64 B #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 B) (taylor -inf B) (#s(alt (.f64 B #s(literal 1/3 binary64)) (patch (.f64 B #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 B) (taylor -inf B) (#s(alt (.f64 B #s(literal 1/3 binary64)) (patch (.f64 B #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 B) (taylor -inf B) (#s(alt (.f64 B #s(literal 1/3 binary64)) (patch (.f64 B #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())

Calls

132 calls:

Time	Variable		Point	Expression
1.0ms	B	@	0	(/ (- 1 (* x (cos B))) (sin B))
1.0ms	B	@	0	(/ (* (- 1 (* x x)) (/ 1 B)) (+ x 1))
1.0ms	B	@	inf	(/ (+ (* B (* B (+ (* (* B B) 7/360) 1/6))) 1) B)
1.0ms	B	@	inf	(/ (* (- 1 (* x x)) (/ 1 B)) (+ x 1))
0.0ms	B	@	inf	(/ (- 1 (* x (cos B))) (sin B))

simplify342.0ms (3.3%)

Memory

34.7MiB live, 348.2MiB allocated

Algorithm

1×	egg-herbie

Rules

15 606×	`lower-fma.f64`
15 606×	`lower-fma.f32`
6 050×	`lower-+.f64`
6 050×	`lower-+.f32`
5 084×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	351	4400
1	958	4305
2	2763	4263
3	7473	4263
0	8291	4068

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 526

Calls

Call 1

Inputs
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (- (* 1/2 x) (* -1/6 (- 1 x))))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(/ (- (+ 1 (* (pow B 2) (- (+ (* 1/2 x) (* (pow B 2) (- (+ (* -1/24 x) (* (pow B 2) (- (* 1/720 x) (+ (* -1/6 (- (* -1/24 x) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x))))) (+ (* -1/5040 (- 1 x)) (* 1/120 (- (* 1/2 x) (* -1/6 (- 1 x))))))))) (+ (* -1/6 (- (* 1/2 x) (* -1/6 (- 1 x)))) (* 1/120 (- 1 x)))))) (* -1/6 (- 1 x))))) x) B)
(/ (- 1 (* x (cos B))) (sin B))
(/ (- 1 (* x (cos B))) (sin B))
(/ (- 1 (* x (cos B))) (sin B))
(/ (- 1 (* x (cos B))) (sin B))
(/ (- 1 (* x (cos B))) (sin B))
(/ (- 1 (* x (cos B))) (sin B))
(/ (- 1 (* x (cos B))) (sin B))
(/ (- 1 (* x (cos B))) (sin B))
1
(+ 1 (* -1 (* x (cos B))))
(+ 1 (* -1 (* x (cos B))))
(+ 1 (* -1 (* x (cos B))))
(* -1 (* x (cos B)))
(* x (- (/ 1 x) (cos B)))
(* x (- (/ 1 x) (cos B)))
(* x (- (/ 1 x) (cos B)))
(* -1 (* x (cos B)))
(* x (+ (* -1 (cos B)) (/ 1 x)))
(* x (+ (* -1 (cos B)) (/ 1 x)))
(* x (+ (* -1 (cos B)) (/ 1 x)))
(- 1 x)
(- (+ 1 (* 1/2 (* (pow B 2) x))) x)
(- (+ 1 (* (pow B 2) (- (* -1/24 (* (pow B 2) x)) (* -1/2 x)))) x)
(- (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* 1/720 (* (pow B 2) x)) (* 1/24 x))) (* -1/2 x)))) x)
(- 1 (* x (cos B)))
(- 1 (* x (cos B)))
(- 1 (* x (cos B)))
(- 1 (* x (cos B)))
(- 1 (* x (cos B)))
(- 1 (* x (cos B)))
(- 1 (* x (cos B)))
(- 1 (* x (cos B)))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
x
(+ x (* -1/2 (* (pow B 2) x)))
(+ x (* (pow B 2) (+ (* -1/2 x) (* 1/24 (* (pow B 2) x)))))
(+ x (* (pow B 2) (+ (* -1/2 x) (* (pow B 2) (+ (* -1/720 (* (pow B 2) x)) (* 1/24 x))))))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
(* x (cos B))
1
(+ 1 (* -1/2 (pow B 2)))
(+ 1 (* (pow B 2) (- (* 1/24 (pow B 2)) 1/2)))
(+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/24 (* -1/720 (pow B 2)))) 1/2)))
(cos B)
(cos B)
(cos B)
(cos B)
(cos B)
(cos B)
(cos B)
(cos B)
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(/ 1 B)
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
(* -1 (/ x B))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* -1 (/ x B))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
(/ (- 1 x) B)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 1 B)
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
(+ (* -1 (/ x B)) (/ 1 B))
(* -1 (/ x B))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* x (- (/ 1 (* B x)) (/ 1 B)))
(* -1 (/ x B))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(* -1 (* x (- (/ 1 B) (/ 1 (* B x)))))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ (- 1 (pow x 2)) (* B (+ 1 x)))
(/ 1 B)
(+ (* -1 (/ (pow x 2) B)) (/ 1 B))
(+ (* -1 (/ (pow x 2) B)) (/ 1 B))
(+ (* -1 (/ (pow x 2) B)) (/ 1 B))
(* -1 (/ (pow x 2) B))
(* (pow x 2) (- (/ 1 (* B (pow x 2))) (/ 1 B)))
(* (pow x 2) (- (/ 1 (* B (pow x 2))) (/ 1 B)))
(* (pow x 2) (- (/ 1 (* B (pow x 2))) (/ 1 B)))
(* -1 (/ (pow x 2) B))
(* (pow x 2) (- (/ 1 (* B (pow x 2))) (/ 1 B)))
(* (pow x 2) (- (/ 1 (* B (pow x 2))) (/ 1 B)))
(* (pow x 2) (- (/ 1 (* B (pow x 2))) (/ 1 B)))
(/ (- 1 (pow x 2)) B)
(/ (- 1 (pow x 2)) B)
(/ (- 1 (pow x 2)) B)
(/ (- 1 (pow x 2)) B)
(/ (- 1 (pow x 2)) B)
(/ (- 1 (pow x 2)) B)
(/ (- 1 (pow x 2)) B)
(/ (- 1 (pow x 2)) B)
(/ (- 1 (pow x 2)) B)
(/ (- 1 (pow x 2)) B)
(/ (- 1 (pow x 2)) B)
(/ (- 1 (pow x 2)) B)
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(/ 1 (sin B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* x (- (/ 1 (* x (sin B))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ x B))
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ x B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ x B)
(/ (+ x (* -1/3 (* (pow B 2) x))) B)
(/ (+ x (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (+ x (* (pow B 2) (- (* (pow B 2) (- (* -1 (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))) (+ (* -1/9 x) (* 2/15 x)))) (* 1/3 x)))) B)
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(/ (* x (cos B)) (sin B))
(sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))
(+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (* -1 (/ (* x (cos B)) (sin B))))
(+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (* -1 (/ (* x (cos B)) (sin B))))
(+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (* -1 (/ (* x (cos B)) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* x (- (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))
(* x (- (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))
(* x (- (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B))))))) (/ (cos B) (sin B))))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (sin B)))))
(* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))))) (/ (cos B) (sin B)))))
(/ (- 1 x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (* 1/3 x)))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (* 2/15 x)))))))) x) B)
(/ (- (+ 1 (* (pow B 2) (+ 1/6 (+ (* 1/3 x) (* (pow B 2) (+ 7/360 (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ 31/15120 (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))))))) x) B)
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 B)))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B)))
(- (sqrt (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 B))))))) (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ x B))
(/ (- (* 1/3 (* (pow B 2) x)) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (* 2/15 x))))) x) B)
(/ (- (* (pow B 2) (+ (* 1/3 x) (* (pow B 2) (+ (* -1/9 x) (+ (* 2/15 x) (* (pow B 2) (+ (* -1/3 (+ (* -1/9 x) (* 2/15 x))) (+ (* -2/45 x) (* 17/315 x))))))))) x) B)
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(* -1 (/ (* x (cos B)) (sin B)))
(/ 1 B)
(/ (+ 1 (* -1/3 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (- (* -1/45 (pow B 2)) 1/3))) B)
(/ (+ 1 (* (pow B 2) (- (* (pow B 2) (- (* -2/945 (pow B 2)) 1/45)) 1/3))) B)
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
(/ (cos B) (sin B))
B
(* B (+ 1 (* -1/6 (pow B 2))))
(* B (+ 1 (* (pow B 2) (- (* 1/120 (pow B 2)) 1/6))))
(* B (+ 1 (* (pow B 2) (- (* (pow B 2) (+ 1/120 (* -1/5040 (pow B 2)))) 1/6))))
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(sin B)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 (sin B))
(/ 1 B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(* 7/360 (pow B 3))
(* (pow B 3) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))
(* (pow B 3) (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))
(* (pow B 3) (+ 7/360 (+ (* 1/6 (/ 1 (pow B 2))) (/ 1 (pow B 4)))))
(* 7/360 (pow B 3))
(* (pow B 3) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))
(* -1 (* (pow B 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow B 2))) (pow B 2))) 7/360)))
(* -1 (* (pow B 3) (- (* -1 (/ (+ 1/6 (/ 1 (pow B 2))) (pow B 2))) 7/360)))
(* 1/6 B)
(* B (+ 1/6 (* 7/360 (pow B 2))))
(* B (+ 1/6 (* 7/360 (pow B 2))))
(* B (+ 1/6 (* 7/360 (pow B 2))))
(* 7/360 (pow B 3))
(* (pow B 3) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))
(* (pow B 3) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))
(* (pow B 3) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))
(* 7/360 (pow B 3))
(* (pow B 3) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))
(* (pow B 3) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))
(* (pow B 3) (+ 7/360 (* 1/6 (/ 1 (pow B 2)))))
(/ 1 (pow B 2))
(/ (+ 1 (* 1/3 (pow B 2))) (pow B 2))
(/ (+ 1 (* (pow B 2) (+ 1/3 (* 1/15 (pow B 2))))) (pow B 2))
(/ (+ 1 (* (pow B 2) (+ 1/3 (* (pow B 2) (+ 1/15 (* 2/189 (pow B 2))))))) (pow B 2))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/ 1 B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(/ 1 (pow B 2))
(/ (+ 1 (* 1/3 (pow B 2))) (pow B 2))
(/ (+ 1 (* 1/3 (pow B 2))) (pow B 2))
(/ (+ 1 (* 1/3 (pow B 2))) (pow B 2))
1/3
(+ 1/3 (/ 1 (pow B 2)))
(+ 1/3 (/ 1 (pow B 2)))
(+ 1/3 (/ 1 (pow B 2)))
1/3
(+ 1/3 (/ 1 (pow B 2)))
(+ 1/3 (/ 1 (pow B 2)))
(+ 1/3 (/ 1 (pow B 2)))
(* 1/3 B)
(* 1/3 B)
(* 1/3 B)
(* 1/3 B)
(* 1/3 B)
(* 1/3 B)
(* 1/3 B)
(* 1/3 B)
(* 1/3 B)
(* 1/3 B)
(* 1/3 B)
(* 1/3 B)

Outputs
(/ 1 (sin B))
(/.f64 #s(literal 1 binary64) (sin.f64 B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(+ (* -1 (/ (* x (cos B)) (sin B))) (/ 1 (sin B)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(* x (+ (* -1 (/ (cos B) (sin B))) (/ 1 (* x (sin B)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(* -1 (/ (* x (cos B)) (sin B)))
(/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B)))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(* -1 (* x (- (/ (cos B) (sin B)) (/ 1 (* x (sin B))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/ (- 1 x) B)
(/.f64 (-.f64 #s(literal 1 binary64) x) B)
(/ (- (+ 1 (* (pow B 2) (- (* 1/2 x) (* -1/6 (- 1 x))))) x) B)
(/.f64 (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal 1/6 binary64) (neg.f64 x) #s(literal 1/6 binary64)))) (-.f64 #s(literal 1 binary64) x)) B)
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(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ 1 (+ 1/2 (* -1/2 (cos (* -2 B)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ 1 B)
(/.f64 #s(literal 1 binary64) B)
(/ (+ 1 (* 1/6 (pow B 2))) B)
(/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* 7/360 (pow B 2))))) B)
(/.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)
(/ (+ 1 (* (pow B 2) (+ 1/6 (* (pow B 2) (+ 7/360 (* 31/15120 (pow B 2))))))) B)
(/.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (fma.f64 B (*.f64 B #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* -2 B))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (pow B 2))
(/.f64 #s(literal 1 binary64) (*.f64 B B))
(/ (+ 1 (* 1/3 (pow B 2))) (pow B 2))
(/.f64 (fma.f64 (.f64 B B) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 B B))
(/ (+ 1 (* 1/3 (pow B 2))) (pow B 2))
(/.f64 (fma.f64 (.f64 B B) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 B B))
(/ (+ 1 (* 1/3 (pow B 2))) (pow B 2))
(/.f64 (fma.f64 (.f64 B B) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 B B))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (/ 1 (pow B 2)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 B B)))
(+ 1/3 (/ 1 (pow B 2)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 B B)))
(+ 1/3 (/ 1 (pow B 2)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 B B)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (/ 1 (pow B 2)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 B B)))
(+ 1/3 (/ 1 (pow B 2)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 B B)))
(+ 1/3 (/ 1 (pow B 2)))
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 B B)))
(* 1/3 B)
(*.f64 B #s(literal 1/3 binary64))
(* 1/3 B)
(*.f64 B #s(literal 1/3 binary64))
(* 1/3 B)
(*.f64 B #s(literal 1/3 binary64))
(* 1/3 B)
(*.f64 B #s(literal 1/3 binary64))
(* 1/3 B)
(*.f64 B #s(literal 1/3 binary64))
(* 1/3 B)
(*.f64 B #s(literal 1/3 binary64))
(* 1/3 B)
(*.f64 B #s(literal 1/3 binary64))
(* 1/3 B)
(*.f64 B #s(literal 1/3 binary64))
(* 1/3 B)
(*.f64 B #s(literal 1/3 binary64))
(* 1/3 B)
(*.f64 B #s(literal 1/3 binary64))
(* 1/3 B)
(*.f64 B #s(literal 1/3 binary64))
(* 1/3 B)
(*.f64 B #s(literal 1/3 binary64))

rewrite349.0ms (3.4%)

Memory

-13.8MiB live, 377.1MiB allocated

Rules

4 990×	`lower-fma.f32`
4 984×	`lower-fma.f64`
4 644×	`lower-/.f32`
4 628×	`lower-/.f64`
4 488×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	323
0	98	301
1	376	281
2	2659	279
0	9459	276

Stop Event

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

Counts

29 → 757

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))
(*.f64 x (cos.f64 B))
(cos.f64 B)
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
(/.f64 #s(approx (- 1 x) (neg.f64 x)) B)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)))
(neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))
#s(approx (* x (/ 1 (tan B))) (/.f64 x B))
(/.f64 x B)
(*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B))))
(/.f64 #s(literal 1 binary64) (tan.f64 B))
(sin.f64 B)
(*.f64 x x)
#s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B))
(/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)
(.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64)))
#s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)))
(sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))
(/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))
(*.f64 B #s(literal 1/3 binary64))

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
(-.f64 (/.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64)) (/.f64 x (tan.f64 B)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (cos.f64 B)) (fma.f64 x (cos.f64 B) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 B)) (/.f64 (/.f64 (pow.f64 (.f64 x (cos.f64 B)) #s(literal 3 binary64)) (fma.f64 (*.f64 x (cos.f64 B)) (fma.f64 x (cos.f64 B) #s(literal 1 binary64)) #s(literal 1 binary64))) (sin.f64 B)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 B) #s(literal 1 binary64))) (sin.f64 B)) (/.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))) (fma.f64 x (cos.f64 B) #s(literal 1 binary64))) (sin.f64 B)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 B))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (neg.f64 (sin.f64 B))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) (fma.f64 (.f64 x (cos.f64 B)) (fma.f64 x (cos.f64 B) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (.f64 x (cos.f64 B)) #s(literal 3 binary64)) (.f64 (sin.f64 B) (fma.f64 (*.f64 x (cos.f64 B)) (fma.f64 x (cos.f64 B) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 B) (fma.f64 x (cos.f64 B) #s(literal 1 binary64)))) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))) (.f64 (sin.f64 B) (fma.f64 x (cos.f64 B) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 B)) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (.f64 (sin.f64 B) (*.f64 x (cos.f64 B))) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (neg.f64 (sin.f64 B)) (.f64 (neg.f64 (sin.f64 B)) (sin.f64 B))) (/.f64 (.f64 (neg.f64 (sin.f64 B)) (.f64 x (cos.f64 B))) (.f64 (neg.f64 (sin.f64 B)) (sin.f64 B))))
(-.f64 (/.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))))) (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))) (/.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))) (/.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 1 binary64) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 B)) (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 (/.f64 x (tan.f64 B)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) x (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 B)) (/.f64 x (/.f64 #s(literal 1 binary64) (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 (/.f64 x (sin.f64 B)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 B B))))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) (tan.f64 B)))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 (/.f64 (neg.f64 x) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (neg.f64 (sin.f64 B))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))) (sin.f64 B)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (sin.f64 B))) (+.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (sin.f64 B) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))) (sin.f64 B))) (+.f64 (pow.f64 (/.f64 (neg.f64 x) (tan.f64 B)) #s(literal 3 binary64)) (pow.f64 (sin.f64 B) #s(literal -3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))) (neg.f64 (sin.f64 B)))
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(.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 B B)))
(.f64 (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64)) (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(.f64 (neg.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 B B))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 B B)) (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 B B)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) B) (/.f64 #s(literal 1 binary64) B))
(.f64 (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) B) (/.f64 (/.f64 #s(literal 1 binary64) B) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) B) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (neg.f64 B)))
(.f64 (pow.f64 (/.f64 (.f64 B B) (fma.f64 (.f64 B (.f64 B B)) (.f64 (.f64 B (.f64 B B)) #s(literal 1/27 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 B B) (.f64 B B)) #s(literal 1/9 binary64) #s(literal 1 binary64)) (.f64 B (.f64 B #s(literal 1/3 binary64))))))
(.f64 (pow.f64 (/.f64 (.f64 B B) (fma.f64 (.f64 (.f64 B B) (.f64 B B)) #s(literal 1/9 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 B (.f64 B B)) (.f64 (.f64 B (.f64 B B)) #s(literal 1/27 binary64)) #s(literal 1 binary64)) B) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 B B) (.f64 B B)) #s(literal 1/9 binary64) #s(literal 1 binary64)) (.f64 B (*.f64 B #s(literal 1/3 binary64))))) B))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 B B) (.f64 B B)) #s(literal 1/9 binary64) #s(literal -1 binary64)) B) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 B (*.f64 B #s(literal 1/3 binary64)) #s(literal -1 binary64))) B))
(*.f64 B #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) B)

eval167.0ms (1.6%)

Memory: 42.8MiB live, 343.8MiB allocated
Compiler: Compiled 29 423 to 2 661 computations (91% saved)

prune286.0ms (2.8%)

Memory

0.7MiB live, 593.4MiB allocated

Pruning

53 alts after pruning (47 fresh and 6 done)

	Pruned	Kept	Total
New	1 263	20	1 283
Fresh	11	27	38
Picked	3	2	5
Done	0	4	4
Total	1 277	53	1 330

Accuracy

100.0%

Counts

1 330 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	77.4%	(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))
	40.7%	(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(approx ( x (/ 1 (tan B))) (/.f64 x B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (sin.f64 B) (.f64 (+.f64 #s(literal 0 binary64) #s(approx ( x (/ 1 (tan B))) (/.f64 x B))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) #s(approx ( x (/ 1 (tan B))) (/.f64 x B))) (sin.f64 B)))
	24.8%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 #s(approx ( x (/ 1 (tan B))) (/.f64 x B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))))
✓	99.7%	(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
	76.5%	(/.f64 #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))
	51.0%	(/.f64 #s(approx (- 1 (* x (cos B))) (neg.f64 (*.f64 x (cos.f64 B)))) (sin.f64 B))
	50.7%	(/.f64 #s(approx (- 1 (* x (cos B))) #s(literal 1 binary64)) (sin.f64 B))
	49.6%	(/.f64 #s(approx (+ (* (neg x) (sin B)) (tan B)) (neg.f64 (.f64 x (sin.f64 B)))) (.f64 (tan.f64 B) (sin.f64 B)))
	24.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 (.f64 #s(approx ( x (/ 1 (tan B))) (/.f64 x B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))))
✓	99.8%	(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
	77.4%	(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))
	48.8%	(+.f64 (neg.f64 (.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
	52.8%	(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) #s(approx (/ (+ (* B (* B 1/3)) 1) (* B B)) #s(literal 1/3 binary64))))))
	36.4%	(+.f64 (neg.f64 (.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
	22.8%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (pow.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
	63.9%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	53.7%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (.f64 B (.f64 B #s(literal -1/6 binary64))) B))))
	61.7%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (exp.f64 (neg.f64 (log.f64 (sin.f64 B)))))
	36.0%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
	53.8%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))
	52.9%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (/.f64 (.f64 (fma.f64 (.f64 (.f64 B B) (.f64 B B)) #s(literal 49/129600 binary64) #s(literal -1/36 binary64)) B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) B)))
	53.8%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)))
	27.4%	(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) #s(approx (/ (+ (* B (* B (+ (* (* B B) 7/360) 1/6))) 1) B) (.f64 #s(literal 7/360 binary64) (.f64 B (*.f64 B B))))))
	36.1%	(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)) B)) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
	36.5%	(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (.f64 x (fma.f64 (.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) B)) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
	99.7%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))))
	54.7%	#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 B (.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B))
	54.4%	#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
	54.5%	#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) B) B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) x) B))
	54.4%	#s(approx (+ (* (/ x (sin B)) (neg (cos B))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) B) B (-.f64 #s(literal 1 binary64) x)) B))
	22.1%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
	26.7%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 (/.f64 (/.f64 B x) B) (/.f64 x B) (neg.f64 (.f64 (/.f64 B (.f64 B B)) x))))
	34.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 (/.f64 x B) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 B (.f64 B B)) x))))
	34.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (/.f64 x B) B (.f64 x (neg.f64 x))) (.f64 x B)))
	42.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 x (neg.f64 B) B) (*.f64 B B)))
	52.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
✓	53.9%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
	33.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
	52.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B))
✓	27.5%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
✓	29.2%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
	22.7%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (* (- 1 (* x x)) (/ 1 B)) (/.f64 (*.f64 x (neg.f64 x)) B)) (+.f64 x #s(literal 1 binary64))))
	28.7%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (* (- 1 (* x x)) (/ 1 B)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
	27.4%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- 1 x) (neg.f64 x)))))
	42.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (.f64 (/.f64 B (.f64 B B)) x)))
	36.0%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 (fma.f64 x (neg.f64 B) B) (.f64 B (*.f64 x B))) x))
	51.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) B)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
	27.4%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- 1 x) (neg.f64 x))))
	21.7%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) B)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) B))))
✓	43.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))))
	43.6%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (neg.f64 B)))))
	51.8%	#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (* (- 1 (* x x)) (/ 1 B)) (+ x 1)) (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (fma.f64 B x B))))

Compiler

Compiled 2 323 to 833 computations (64.1% saved)

regimes110.0ms (1.1%)

Memory

8.0MiB live, 127.6MiB allocated

Counts

92 → 1

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- 1 x) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 x (neg.f64 B) B) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (* (- 1 (* x x)) (/ 1 B)) (+ x 1)) (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (fma.f64 B x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (* (- 1 (* x x)) (/ 1 B)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 B (+.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 B (+.f64 x #s(literal 1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) B) (.f64 B x)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
#s(approx (+ (* (/ x (sin B)) (neg (cos B))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) B) B (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) #s(approx (/ (+ (* B (* B (+ (* (* B B) 7/360) 1/6))) 1) B) (.f64 #s(literal 7/360 binary64) (.f64 B (*.f64 B B))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) B)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (* (- 1 (* x x)) (/ 1 B)) (/.f64 (*.f64 x (neg.f64 x)) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 (fma.f64 x (neg.f64 B) B) (.f64 B (*.f64 x B))) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (.f64 (/.f64 B (.f64 B B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (-.f64 (/.f64 B x) B) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 B B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (/.f64 x B) B (.f64 x (neg.f64 x))) (.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 B x) B) (/.f64 (*.f64 B B) x)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (.f64 B (.f64 B #s(literal -1/6 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) B) B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 (/.f64 x B) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 B (.f64 B B)) x))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 (.f64 B B) x) (.f64 B B)) (.f64 B (/.f64 (.f64 B B) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 (/.f64 (/.f64 B x) B) (/.f64 x B) (neg.f64 (.f64 (/.f64 B (.f64 B B)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 B (.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) B)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (.f64 x (fma.f64 (.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) B)) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(+.f64 (neg.f64 (.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)) B)) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (/.f64 (.f64 (fma.f64 (.f64 (.f64 B B) (.f64 B B)) #s(literal 49/129600 binary64) #s(literal -1/36 binary64)) B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (/ (+ (* (neg x) (sin B)) (tan B)) (* (tan B) (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 #s(approx (- 1 (* x (cos B))) #s(literal 1 binary64)) (sin.f64 B))
(/.f64 #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) #s(approx (/ (+ (* B (* B 1/3)) 1) (* B B)) #s(literal 1/3 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (/.f64 #s(literal 1 binary64) B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
#s(approx (/ (+ (* (neg x) (sin B)) (tan B)) (* (tan B) (sin B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
(/.f64 #s(approx (- 1 (* x (cos B))) (neg.f64 (*.f64 x (cos.f64 B)))) (sin.f64 B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (pow.f64 (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 B) (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B)))))
(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(+.f64 (neg.f64 (.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(approx ( x (/ 1 (tan B))) (/.f64 x B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (sin.f64 B) (.f64 (+.f64 #s(literal 0 binary64) #s(approx ( x (/ 1 (tan B))) (/.f64 x B))) #s(literal 1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) #s(approx ( x (/ 1 (tan B))) (/.f64 x B))) (sin.f64 B)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 #s(approx ( x (/ 1 (tan B))) (/.f64 x B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 (.f64 #s(approx ( x (/ 1 (tan B))) (/.f64 x B)) #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 B B)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (exp.f64 (neg.f64 (log.f64 (sin.f64 B)))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (neg x) (sin B)) (tan B)) (neg.f64 (.f64 x (sin.f64 B)))) (.f64 (tan.f64 B) (sin.f64 B)))
(fma.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(fma.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B)))) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (neg.f64 (cos.f64 B)) (/.f64 (sin.f64 B) x)) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) #s(literal 0 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64))))
(/.f64 (fma.f64 x (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (exp.f64 (neg.f64 (log.f64 (sin.f64 B)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (pow.f64 (pow.f64 (sin.f64 B) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 x) (sin.f64 B) (tan.f64 B)) (*.f64 (tan.f64 B) (sin.f64 B)))
(+.f64 (neg.f64 (.f64 (.f64 (*.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (/.f64 (tan.f64 B) x))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 (+.f64 (pow.f64 (sin.f64 B) #s(literal -3 binary64)) #s(literal 0 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 B B))))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) #s(literal 0 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (pow.f64 (tan.f64 B) #s(literal -2 binary64))) (sin.f64 B) (/.f64 x (tan.f64 B))) (*.f64 (/.f64 x (tan.f64 B)) (sin.f64 B)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) #s(literal 4 binary64)) (pow.f64 (sin.f64 B) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))))) (pow.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal 2 binary64)))

Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))

Calls

3 calls:

43.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
34.0ms	x
28.0ms	B

Results

Accuracy	Segments	Branch
99.8%	1	`B`
99.8%	1	`x`
99.8%	1	`(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes78.0ms (0.7%)

Memory

-41.2MiB live, 140.3MiB allocated

Counts

65 → 1

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- 1 x) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 x (neg.f64 B) B) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (* (- 1 (* x x)) (/ 1 B)) (+ x 1)) (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (fma.f64 B x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (* (- 1 (* x x)) (/ 1 B)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 B (+.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 B (+.f64 x #s(literal 1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) B) (.f64 B x)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
#s(approx (+ (* (/ x (sin B)) (neg (cos B))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) B) B (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) #s(approx (/ (+ (* B (* B (+ (* (* B B) 7/360) 1/6))) 1) B) (.f64 #s(literal 7/360 binary64) (.f64 B (*.f64 B B))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) B)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (* (- 1 (* x x)) (/ 1 B)) (/.f64 (*.f64 x (neg.f64 x)) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 (fma.f64 x (neg.f64 B) B) (.f64 B (*.f64 x B))) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (.f64 (/.f64 B (.f64 B B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (-.f64 (/.f64 B x) B) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 B B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (/.f64 x B) B (.f64 x (neg.f64 x))) (.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 B x) B) (/.f64 (*.f64 B B) x)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (.f64 B (.f64 B #s(literal -1/6 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) B) B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 (/.f64 x B) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 B (.f64 B B)) x))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 (.f64 B B) x) (.f64 B B)) (.f64 B (/.f64 (.f64 B B) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 (/.f64 (/.f64 B x) B) (/.f64 x B) (neg.f64 (.f64 (/.f64 B (.f64 B B)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 B (.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) B)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (.f64 x (fma.f64 (.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) B)) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(+.f64 (neg.f64 (.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)) B)) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (/.f64 (.f64 (fma.f64 (.f64 (.f64 B B) (.f64 B B)) #s(literal 49/129600 binary64) #s(literal -1/36 binary64)) B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (/ (+ (* (neg x) (sin B)) (tan B)) (* (tan B) (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 #s(approx (- 1 (* x (cos B))) #s(literal 1 binary64)) (sin.f64 B))
(/.f64 #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) #s(approx (/ (+ (* B (* B 1/3)) 1) (* B B)) #s(literal 1/3 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (/.f64 #s(literal 1 binary64) B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
#s(approx (/ (+ (* (neg x) (sin B)) (tan B)) (* (tan B) (sin B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
(/.f64 #s(approx (- 1 (* x (cos B))) (neg.f64 (*.f64 x (cos.f64 B)))) (sin.f64 B))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (-.f64 #s(literal 1 binary64) (.f64 x (cos.f64 B))))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))

Calls

3 calls:

32.0ms	B
23.0ms	x
19.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))

Results

Accuracy	Segments	Branch
99.7%	1	`B`
99.7%	1	`x`
99.7%	1	`(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes62.0ms (0.6%)

Memory

31.6MiB live, 105.9MiB allocated

Counts

63 → 3

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- 1 x) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 x (neg.f64 B) B) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (* (- 1 (* x x)) (/ 1 B)) (+ x 1)) (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (fma.f64 B x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (* (- 1 (* x x)) (/ 1 B)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 B (+.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 B (+.f64 x #s(literal 1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) B) (.f64 B x)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
#s(approx (+ (* (/ x (sin B)) (neg (cos B))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) B) B (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) #s(approx (/ (+ (* B (* B (+ (* (* B B) 7/360) 1/6))) 1) B) (.f64 #s(literal 7/360 binary64) (.f64 B (*.f64 B B))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) B)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (* (- 1 (* x x)) (/ 1 B)) (/.f64 (*.f64 x (neg.f64 x)) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 (fma.f64 x (neg.f64 B) B) (.f64 B (*.f64 x B))) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (.f64 (/.f64 B (.f64 B B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (-.f64 (/.f64 B x) B) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 B B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (/.f64 x B) B (.f64 x (neg.f64 x))) (.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 B x) B) (/.f64 (*.f64 B B) x)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (.f64 B (.f64 B #s(literal -1/6 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) B) B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 (/.f64 x B) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 B (.f64 B B)) x))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 (.f64 B B) x) (.f64 B B)) (.f64 B (/.f64 (.f64 B B) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 (/.f64 (/.f64 B x) B) (/.f64 x B) (neg.f64 (.f64 (/.f64 B (.f64 B B)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 B (.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) B)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) B))))
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(+.f64 (neg.f64 (.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)) B)) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (/.f64 (.f64 (fma.f64 (.f64 (.f64 B B) (.f64 B B)) #s(literal 49/129600 binary64) #s(literal -1/36 binary64)) B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (/ (+ (* (neg x) (sin B)) (tan B)) (* (tan B) (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 #s(approx (- 1 (* x (cos B))) #s(literal 1 binary64)) (sin.f64 B))
(/.f64 #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))
(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) #s(approx (/ (+ (* B (* B 1/3)) 1) (* B B)) #s(literal 1/3 binary64))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 B #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (/.f64 #s(literal 1 binary64) B)))
(+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
#s(approx (/ (+ (* (neg x) (sin B)) (tan B)) (* (tan B) (sin B))) (/.f64 (*.f64 x (cos.f64 B)) (neg.f64 (sin.f64 B))))
(/.f64 #s(approx (- 1 (* x (cos B))) (neg.f64 (*.f64 x (cos.f64 B)))) (sin.f64 B))

Outputs

(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))

(-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))

Calls

3 calls:

22.0ms	x
20.0ms	B
17.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))

Results

Accuracy	Segments	Branch
80.4%	2	`B`
98.6%	3	`x`
98.6%	3	`(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes52.0ms (0.5%)

Memory

-7.8MiB live, 76.1MiB allocated

Counts

53 → 1

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- 1 x) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 x (neg.f64 B) B) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (* (- 1 (* x x)) (/ 1 B)) (+ x 1)) (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (fma.f64 B x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (* (- 1 (* x x)) (/ 1 B)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 B (+.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 B (+.f64 x #s(literal 1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) B) (.f64 B x)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
#s(approx (+ (* (/ x (sin B)) (neg (cos B))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) B) B (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) #s(approx (/ (+ (* B (* B (+ (* (* B B) 7/360) 1/6))) 1) B) (.f64 #s(literal 7/360 binary64) (.f64 B (*.f64 B B))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) B)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (* (- 1 (* x x)) (/ 1 B)) (/.f64 (*.f64 x (neg.f64 x)) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 (fma.f64 x (neg.f64 B) B) (.f64 B (*.f64 x B))) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (.f64 (/.f64 B (.f64 B B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (-.f64 (/.f64 B x) B) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 B B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (/.f64 x B) B (.f64 x (neg.f64 x))) (.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 B x) B) (/.f64 (*.f64 B B) x)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (.f64 B (.f64 B #s(literal -1/6 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) B) B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 (/.f64 x B) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 B (.f64 B B)) x))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 (.f64 B B) x) (.f64 B B)) (.f64 B (/.f64 (.f64 B B) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 (/.f64 (/.f64 B x) B) (/.f64 x B) (neg.f64 (.f64 (/.f64 B (.f64 B B)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 B (.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) B)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (.f64 x (fma.f64 (.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) B)) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(+.f64 (neg.f64 (.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)) B)) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (/.f64 (.f64 (fma.f64 (.f64 (.f64 B B) (.f64 B B)) #s(literal 49/129600 binary64) #s(literal -1/36 binary64)) B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (/ (+ (* (neg x) (sin B)) (tan B)) (* (tan B) (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 #s(approx (- 1 (* x (cos B))) #s(literal 1 binary64)) (sin.f64 B))
(/.f64 #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))

Outputs
(/.f64 #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))

Calls

3 calls:

19.0ms	x
16.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
14.0ms	B

Results

Accuracy	Segments	Branch
76.5%	1	`B`
76.5%	1	`x`
76.5%	1	`(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes49.0ms (0.5%)

Memory

10.6MiB live, 85.9MiB allocated

Counts

52 → 2

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- 1 x) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 x (neg.f64 B) B) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (* (- 1 (* x x)) (/ 1 B)) (+ x 1)) (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (fma.f64 B x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (* (- 1 (* x x)) (/ 1 B)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 B (+.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 B (+.f64 x #s(literal 1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) B) (.f64 B x)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
#s(approx (+ (* (/ x (sin B)) (neg (cos B))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) B) B (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) #s(approx (/ (+ (* B (* B (+ (* (* B B) 7/360) 1/6))) 1) B) (.f64 #s(literal 7/360 binary64) (.f64 B (*.f64 B B))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) B)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (* (- 1 (* x x)) (/ 1 B)) (/.f64 (*.f64 x (neg.f64 x)) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 (fma.f64 x (neg.f64 B) B) (.f64 B (*.f64 x B))) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (.f64 (/.f64 B (.f64 B B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (-.f64 (/.f64 B x) B) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 B B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (/.f64 x B) B (.f64 x (neg.f64 x))) (.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 B x) B) (/.f64 (*.f64 B B) x)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (.f64 B (.f64 B #s(literal -1/6 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) B) B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 (/.f64 x B) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 B (.f64 B B)) x))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 (.f64 B B) x) (.f64 B B)) (.f64 B (/.f64 (.f64 B B) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 (/.f64 (/.f64 B x) B) (/.f64 x B) (neg.f64 (.f64 (/.f64 B (.f64 B B)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 B (.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) B)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (.f64 x (fma.f64 (.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) B)) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(+.f64 (neg.f64 (.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)) B)) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (/.f64 (.f64 (fma.f64 (.f64 (.f64 B B) (.f64 B B)) #s(literal 49/129600 binary64) #s(literal -1/36 binary64)) B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
#s(approx (/ (+ (* (neg x) (sin B)) (tan B)) (* (tan B) (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
(/.f64 #s(approx (- 1 (* x (cos B))) #s(literal 1 binary64)) (sin.f64 B))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))

Calls

3 calls:

16.0ms	x
15.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
14.0ms	B

Results

Accuracy	Segments	Branch
76.3%	2	`B`
76.3%	3	`x`
76.4%	3	`(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes52.0ms (0.5%)

Memory

-12.7MiB live, 104.5MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- 1 x) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 x (neg.f64 B) B) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (* (- 1 (* x x)) (/ 1 B)) (+ x 1)) (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (fma.f64 B x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (* (- 1 (* x x)) (/ 1 B)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 B (+.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 B (+.f64 x #s(literal 1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) B) (.f64 B x)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
#s(approx (+ (* (/ x (sin B)) (neg (cos B))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) B) B (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) #s(approx (/ (+ (* B (* B (+ (* (* B B) 7/360) 1/6))) 1) B) (.f64 #s(literal 7/360 binary64) (.f64 B (*.f64 B B))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) B)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (* (- 1 (* x x)) (/ 1 B)) (/.f64 (*.f64 x (neg.f64 x)) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 (fma.f64 x (neg.f64 B) B) (.f64 B (*.f64 x B))) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (.f64 (/.f64 B (.f64 B B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (-.f64 (/.f64 B x) B) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 B B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (/.f64 x B) B (.f64 x (neg.f64 x))) (.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 B x) B) (/.f64 (*.f64 B B) x)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (.f64 B (.f64 B #s(literal -1/6 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) B) B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 (/.f64 x B) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 B (.f64 B B)) x))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 (.f64 B B) x) (.f64 B B)) (.f64 B (/.f64 (.f64 B B) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 (/.f64 (/.f64 B x) B) (/.f64 x B) (neg.f64 (.f64 (/.f64 B (.f64 B B)) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 B (.f64 B (fma.f64 x #s(literal 1/45 binary64) (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) B) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) B)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) B))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (.f64 x (fma.f64 (.f64 B B) #s(literal 1/3 binary64) #s(literal -1 binary64))) B)) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(+.f64 (neg.f64 (.f64 x #s(approx (/ 1 (tan B)) (/.f64 (fma.f64 (.f64 B B) #s(literal -1/3 binary64) #s(literal 1 binary64)) B)))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(+.f64 #s(approx (neg (* x (/ 1 (tan B)))) (/.f64 (fma.f64 (.f64 B B) (.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 B B) #s(literal 1/3 binary64))) (neg.f64 x)) B)) #s(approx (pow (- 1/2 ( 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (/.f64 (.f64 (fma.f64 (.f64 (.f64 B B) (.f64 B B)) #s(literal 49/129600 binary64) #s(literal -1/36 binary64)) B) (fma.f64 B (*.f64 B #s(literal 7/360 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) B)))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B))

Calls

3 calls:

18.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
16.0ms	x
13.0ms	B

Results

Accuracy	Segments	Branch
54.7%	1	`x`
54.7%	1	`(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))`
54.7%	1	`B`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes78.0ms (0.8%)

Memory

-9.0MiB live, 67.0MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- 1 x) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 x (neg.f64 B) B) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (* (- 1 (* x x)) (/ 1 B)) (+ x 1)) (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (fma.f64 B x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (* (- 1 (* x x)) (/ 1 B)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 B (+.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 B (+.f64 x #s(literal 1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) B) (.f64 B x)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
#s(approx (+ (* (/ x (sin B)) (neg (cos B))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) B) B (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) #s(approx (/ (+ (* B (* B (+ (* (* B B) 7/360) 1/6))) 1) B) (.f64 #s(literal 7/360 binary64) (.f64 B (*.f64 B B))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) B)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (* (- 1 (* x x)) (/ 1 B)) (/.f64 (*.f64 x (neg.f64 x)) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 (fma.f64 x (neg.f64 B) B) (.f64 B (*.f64 x B))) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (.f64 (/.f64 B (.f64 B B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (-.f64 (/.f64 B x) B) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 B B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (/.f64 x B) B (.f64 x (neg.f64 x))) (.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 B x) B) (/.f64 (*.f64 B B) x)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (.f64 B (.f64 B #s(literal -1/6 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64)) B) B (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (.f64 B (fma.f64 (.f64 B B) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 B x)) (.f64 B #s(literal 1 binary64))) (*.f64 B (/.f64 B x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 (/.f64 x B) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 B (.f64 B B)) x))))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (pow (- 1/2 (* 1/2 (cos (+ B B)))) -1/2) (sqrt.f64 #s(approx (/ 1 (+ (* (cos (* B -2)) -1/2) 1/2)) (/.f64 (fma.f64 B (.f64 B #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 B B))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 (.f64 B B) x) (.f64 B B)) (.f64 B (/.f64 (.f64 B B) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (fma.f64 (/.f64 (/.f64 B x) B) (/.f64 x B) (neg.f64 (.f64 (/.f64 B (.f64 B B)) x))))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B))

Calls

3 calls:

51.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
13.0ms	x
12.0ms	B

Results

Accuracy	Segments	Branch
54.5%	1	`(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))`
54.5%	1	`B`
54.5%	1	`x`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes36.0ms (0.3%)

Memory

6.8MiB live, 47.2MiB allocated

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- 1 x) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 x (neg.f64 B) B) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (* (- 1 (* x x)) (/ 1 B)) (+ x 1)) (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (fma.f64 B x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (* (- 1 (* x x)) (/ 1 B)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 B (+.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 B (+.f64 x #s(literal 1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) B) (.f64 B x)) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
#s(approx (+ (* (/ x (sin B)) (neg (cos B))) (/ 1 (sin B))) (/.f64 (fma.f64 (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) B) B (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (- (/ 1 (sin B)) (/ x (tan B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) #s(approx (/ (+ (* B (* B (+ (* (* B B) 7/360) 1/6))) 1) B) (.f64 #s(literal 7/360 binary64) (.f64 B (*.f64 B B))))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) x) B)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (* (- 1 (* x x)) (/ 1 B)) (/.f64 (*.f64 x (neg.f64 x)) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (/.f64 (fma.f64 x (neg.f64 B) B) (.f64 B (*.f64 x B))) x))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x B)) (/.f64 x (neg.f64 B)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (-.f64 (/.f64 #s(literal 1 binary64) B) (.f64 (/.f64 B (.f64 B B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) B))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 B (*.f64 B #s(literal 1/6 binary64)) #s(literal 1 binary64)) B)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) #s(approx (/ 1 (sin B)) (/.f64 (fma.f64 (*.f64 B B) #s(literal 1/6 binary64) #s(literal 1 binary64)) B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (.f64 (-.f64 (/.f64 B x) B) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 B B)) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (/.f64 x B) B (.f64 x (neg.f64 x))) (.f64 x B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (/.f64 B x) B) (/.f64 (*.f64 B B) x)))
(+.f64 (neg.f64 #s(approx (* x (/ 1 (tan B))) (/.f64 x B))) (/.f64 #s(literal 1 binary64) #s(approx (sin B) (fma.f64 B (.f64 B (.f64 B #s(literal -1/6 binary64))) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (- 1 x) B) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (neg.f64 B)))))

Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))

Calls

3 calls:

15.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
9.0ms	x
9.0ms	B

Results

Accuracy	Segments	Branch
54.4%	1	`(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))`
54.4%	1	`B`
54.4%	1	`x`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes16.0ms (0.2%)

Memory

-8.8MiB live, 28.7MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) #s(approx (- 1 x) (neg.f64 x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (*.f64 (/.f64 #s(literal 1 binary64) B) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B #s(approx (- 1 x) (neg.f64 x)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 x (neg.f64 B) B) (*.f64 B B)))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) #s(approx (/ (* (- 1 (* x x)) (/ 1 B)) (+ x 1)) (/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (fma.f64 B x B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (/.f64 B (-.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (* (- 1 (* x x)) (/ 1 B)) (/.f64 #s(literal 1 binary64) B)) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 B (+.f64 #s(literal 1 binary64) x))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 B (+.f64 x #s(literal 1 binary64)))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) B) (.f64 B x)) (*.f64 B B)))

Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))

Calls

3 calls:

6.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
4.0ms	B
4.0ms	x

Results

Accuracy	Segments	Branch
53.9%	1	`(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))`
53.9%	1	`x`
53.9%	1	`B`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes5.0ms (0%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))

Outputs

#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))

#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))

Calls

3 calls:

2.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
2.0ms	x
1.0ms	B

Results

Accuracy	Segments	Branch
50.2%	3	`(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))`
33.1%	2	`B`
53.4%	3	`x`

Compiler

Compiled 20 to 14 computations (30% saved)

regimes4.0ms (0%)

Memory

12.0MiB live, 12.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))

Outputs
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))

Calls

3 calls:

1.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))
1.0ms	B
1.0ms	x

Results

Accuracy	Segments	Branch
29.2%	1	`B`
29.2%	1	`(+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B)))`
29.2%	1	`x`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.565455805809381	2209.9748973396513
0.0ms	-180559753.96722534	-5.624597920646897

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch22.0ms (0.2%)

Memory

-0.9MiB live, 36.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.11465529940389153	42828.84368765117

Samples

14.0ms

144×

valid

Compiler

Compiled 386 to 249 computations (35.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-tan: 3.0ms (33.7% of total)

ival-div: 2.0ms (22.4% of total)

ival-sin: 2.0ms (22.4% of total)

ival-add: 1.0ms (11.2% of total)

ival-mult: 1.0ms (11.2% of total)

ival-neg: 1.0ms (11.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch54.0ms (0.5%)

Memory

2.7MiB live, 90.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	0.009594666468737056	175077581.12727168
20.0ms	-3.3362272757489807e-6	-5.510171552440482e-10

Samples

40.0ms

288×

valid

Compiler

Compiled 323 to 195 computations (39.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-tan: 16.0ms (53% of total)

ival-sin: 5.0ms (16.6% of total)

ival-div: 4.0ms (13.3% of total)

ival-mult: 2.0ms (6.6% of total)

ival-add: 1.0ms (3.3% of total)

ival-neg: 1.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Memory

-15.9MiB live, 23.2MiB allocated

Algorithm

1×	egg-herbie

Rules

60×	`unsub-neg_binary64`
46×	`neg-mul-1_binary64`
30×	`+-commutative_binary64`
28×	`sub-neg_binary64`
24×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	377
1	110	375
2	141	375
3	155	375
4	166	375
5	199	375
6	257	375

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(if (<=.f64 (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal -100000000 binary64)) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) (if (<=.f64 (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal 10 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))))
(/.f64 #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))
(if (<=.f64 B #s(literal 1080863910568919/4503599627370496 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
(if (<=.f64 x #s(literal -7791904696734915/2361183241434822606848 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))

Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 B))) (sin.f64 B))
(if (<=.f64 (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal -100000000 binary64)) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) (if (<=.f64 (+.f64 (neg.f64 (.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 B)))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) #s(literal 10 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)))) #s(literal -100000000 binary64)) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B))) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 B)) (.f64 x (/.f64 #s(literal -1 binary64) (tan.f64 B)))) #s(literal 10 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))) (-.f64 #s(approx (/ 1 (sin B)) (/.f64 #s(literal 1 binary64) B)) (/.f64 x (tan.f64 B)))))
(/.f64 #s(approx (- 1 (* x (cos B))) (-.f64 #s(literal 1 binary64) x)) (sin.f64 B))
(if (<=.f64 B #s(literal 1080863910568919/4503599627370496 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B)) #s(approx (+ (neg ( x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(literal 1 binary64) (sin.f64 B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (fma.f64 (.f64 B B) (fma.f64 x #s(literal 1/3 binary64) (fma.f64 (.f64 B B) (fma.f64 B (*.f64 B (fma.f64 x #s(literal 2/945 binary64) #s(literal 31/15120 binary64))) (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) x)) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (.f64 B B) (fma.f64 B (.f64 B (fma.f64 x #s(literal 1/45 binary64) #s(literal 7/360 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 (fma.f64 (*.f64 B B) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) B))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 (-.f64 #s(literal 1 binary64) x) B))
(if (<=.f64 x #s(literal -7791904696734915/2361183241434822606848 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B)) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B)) #s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) B))))
#s(approx (+ (neg (* x (/ 1 (tan B)))) (/ 1 (sin B))) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) B))

soundness1.4s (13.5%)

Memory

15.5MiB live, 800.0MiB allocated

Rules

25 592×	`lower-fma.f64`
25 592×	`lower-fma.f32`
18 702×	`lower-fma.f64`
18 702×	`lower-fma.f32`
15 606×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	351	4400
1	958	4305
2	2763	4263
3	7473	4263
0	8291	4068
0	135	913
1	368	906
2	1218	888
3	4458	883
4	7788	881
0	8237	848
0	10	33
0	17	26
1	59	25
2	376	25
3	4328	25
0	8975	25
0	324	4203
1	990	4143
2	3151	4061
0	8206	3862
0	54	250
0	85	228
1	331	207
2	2419	181
0	9062	181

Stop Event

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

Compiler

Compiled 406 to 178 computations (56.2% saved)

preprocess91.0ms (0.9%)

Memory: 16.0MiB live, 178.3MiB allocated
Remove: (negabs B)
Compiler: Compiled 488 to 158 computations (67.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	28	68
1	77	46
2	212	45
3	409	45
4	621	45
5	763	45
6	837	45
7	858	45
8	860	45
0	10	12
0	17	12
1	30	9
2	57	9
3	90	9
4	128	9
5	185	9
6	220	9
7	279	9
8	310	9
9	337	9
10	347	9
0	347	9

Iter	Nodes	Cost
0	10	40
0	17	40
1	30	33
2	57	33
3	90	33
4	128	33
5	185	33
6	220	33
7	279	33
8	310	33
9	337	33
10	347	33
0	347	33

Iter	Nodes	Cost
0	28	68
1	77	46
2	212	45
3	409	45
4	621	45
5	763	45
6	837	45
7	858	45
8	860	45
0	10	12
0	17	12
1	30	9
2	57	9
3	90	9
4	128	9
5	185	9
6	220	9
7	279	9
8	310	9
9	337	9
10	347	9
0	347	9

Iter	Nodes	Cost
0	10	40
0	17	40
1	30	33
2	57	33
3	90	33
4	128	33
5	185	33
6	220	33
7	279	33
8	310	33
9	337	33
10	347	33
0	347	33

start0.0ms (0%)

analyze185.0ms (1.8%)

sample1.0s (10%)

explain192.0ms (1.9%)

preprocess43.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.1%)

localize38.0ms (0.4%)

series16.0ms (0.2%)

simplify586.0ms (5.7%)

rewrite154.0ms (1.5%)

eval72.0ms (0.7%)

prune98.0ms (0.9%)

simplify220.0ms (2.1%)

localize223.0ms (2.2%)

series214.0ms (2.1%)

simplify319.0ms (3.1%)

rewrite263.0ms (2.5%)

eval237.0ms (2.3%)

prune164.0ms (1.6%)

simplify236.0ms (2.3%)

localize291.0ms (2.8%)

series43.0ms (0.4%)

simplify402.0ms (3.9%)

rewrite308.0ms (3%)

eval297.0ms (2.9%)

prune389.0ms (3.8%)

simplify226.0ms (2.2%)

localize695.0ms (6.7%)

series127.0ms (1.2%)

simplify342.0ms (3.3%)

rewrite349.0ms (3.4%)

eval167.0ms (1.6%)

prune286.0ms (2.8%)

regimes110.0ms (1.1%)

regimes78.0ms (0.7%)

regimes62.0ms (0.6%)

regimes52.0ms (0.5%)

regimes49.0ms (0.5%)

regimes52.0ms (0.5%)

regimes78.0ms (0.8%)

regimes36.0ms (0.3%)

regimes16.0ms (0.2%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch22.0ms (0.2%)

bsearch54.0ms (0.5%)

simplify13.0ms (0.1%)

soundness1.4s (13.5%)

preprocess91.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	28	68
1	77	46
2	212	45
3	409	45
4	621	45
5	763	45
6	837	45
7	858	45
8	860	45
0	10	12
0	17	12
1	30	9
2	57	9
3	90	9
4	128	9
5	185	9
6	220	9
7	279	9
8	310	9
9	337	9
10	347	9
0	347	9

Iter	Nodes	Cost
0	10	40
0	17	40
1	30	33
2	57	33
3	90	33
4	128	33
5	185	33
6	220	33
7	279	33
8	310	33
9	337	33
10	347	33
0	347	33